同步仿真框架并接入AMESim气动组件
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"""Numerical solvers used by simulation systems."""
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from __future__ import annotations
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from dataclasses import dataclass
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from math import sqrt
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from app.simulation.core.ports import PortState, VariableRole
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from app.simulation.systems.network import SimulationNetwork
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class AlgebraicSolveError(RuntimeError):
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def __init__(self, message: str, diagnostics: "AlgebraicSolveDiagnostics") -> None:
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super().__init__(message)
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self.diagnostics = diagnostics
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@dataclass(frozen=True)
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class AlgebraicUnknown:
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component: str
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port: str
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variable: str
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role: VariableRole
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state: PortState
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@property
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def id(self) -> str:
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return f"{self.component}.{self.port}.{self.variable}"
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def read(self) -> float:
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return float(getattr(self.state, self.variable))
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def write(self, value: float) -> None:
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setattr(self.state, self.variable, float(value))
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@dataclass(frozen=True)
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class AlgebraicSolveDiagnostics:
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success: bool
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message: str
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evaluations: int
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pressure_scale: float
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flow_scale: float
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max_scaled_residual: float
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max_raw_residual: float
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def as_dict(self) -> dict[str, object]:
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return {
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"success": self.success,
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"message": self.message,
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"evaluations": self.evaluations,
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"pressureScale": self.pressure_scale,
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"flowScale": self.flow_scale,
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"maxScaledResidual": self.max_scaled_residual,
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"maxRawResidual": self.max_raw_residual,
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}
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class PressureFlowSolver:
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"""Solve the acausal pressure-flow subsystem for a compiled network."""
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def __init__(
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self,
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network: SimulationNetwork,
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*,
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residual_tolerance: float = 1e-7,
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max_evaluations: int = 500,
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) -> None:
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self.network = network
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self.residual_tolerance = residual_tolerance
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self.max_evaluations = max_evaluations
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self.unknowns = self._build_unknowns()
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self.last_diagnostics: AlgebraicSolveDiagnostics | None = None
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def _build_unknowns(self) -> tuple[AlgebraicUnknown, ...]:
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unknowns: list[AlgebraicUnknown] = []
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for component in self.network.components.values():
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for definition in component.port_definitions:
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if definition.kind != "physical":
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continue
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state = component.get_port(definition.name)
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for variable in definition.variables:
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if variable.role not in {"effort", "flow"}:
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continue
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unknowns.append(
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AlgebraicUnknown(
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component=component.name,
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port=definition.name,
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variable=variable.name,
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role=variable.role,
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state=state,
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)
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)
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return tuple(unknowns)
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def _seed_equal_pressures(self) -> None:
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for _ in range(max(2, len(self.network.connections))):
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changed = False
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for connection in self.network.connections:
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if connection.kind != "physical":
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continue
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first = self.network.components[
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connection.endpoint_a.component
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].get_port(connection.endpoint_a.port)
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second = self.network.components[
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connection.endpoint_b.component
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].get_port(connection.endpoint_b.port)
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if first.p > 0.0 and second.p <= 0.0:
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second.p = first.p
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changed = True
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elif second.p > 0.0 and first.p <= 0.0:
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first.p = second.p
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changed = True
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for component in self.network.components.values():
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equal_pressure_equations = [
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equation
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for equation in component.pressure_flow_equation_residuals()
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if equation.relation == "equal" and equation.role == "effort"
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]
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for equation in equal_pressure_equations:
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states = []
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for variable in equation.variables:
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_, port_name, variable_name = variable.rsplit(".", 2)
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if variable_name == "p":
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states.append(component.get_port(port_name))
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if len(states) != 2:
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continue
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first, second = states
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if first.p > 0.0 and second.p <= 0.0:
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second.p = first.p
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changed = True
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elif second.p > 0.0 and first.p <= 0.0:
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first.p = second.p
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changed = True
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if not changed:
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break
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def _scales(self) -> tuple[float, float]:
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pressure_scale = max(
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[
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abs(unknown.read())
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for unknown in self.unknowns
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if unknown.role == "effort" and unknown.read() > 0.0
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]
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+ [1e5]
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)
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estimated_flows = [
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abs(float(getattr(component, "K_eff"))) * sqrt(pressure_scale)
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for component in self.network.components.values()
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if hasattr(component, "K_eff")
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]
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flow_scale = max(
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estimated_flows
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+ [
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abs(unknown.read())
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for unknown in self.unknowns
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if unknown.role == "flow"
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]
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+ [1e-3]
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)
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return pressure_scale, flow_scale
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def solve(self) -> AlgebraicSolveDiagnostics:
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try:
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import numpy as np
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from scipy.optimize import least_squares
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except ImportError as exc:
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raise RuntimeError(
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"Topology-driven simulation requires SciPy; install requirements.txt."
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) from exc
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self._seed_equal_pressures()
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pressure_scale, flow_scale = self._scales()
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positive_pressures = [
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unknown.read()
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for unknown in self.unknowns
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if unknown.role == "effort" and unknown.read() > 0.0
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]
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fallback_pressure = (
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sum(positive_pressures) / len(positive_pressures)
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if positive_pressures
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else pressure_scale
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)
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def variable_scale(unknown: AlgebraicUnknown) -> float:
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return pressure_scale if unknown.role == "effort" else flow_scale
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x0 = np.asarray(
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[
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(
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unknown.read()
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if unknown.role != "effort" or unknown.read() > 0.0
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else fallback_pressure
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)
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/ variable_scale(unknown)
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for unknown in self.unknowns
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],
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dtype=float,
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)
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lower = np.asarray(
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[
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1.0 / pressure_scale if unknown.role == "effort" else -np.inf
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for unknown in self.unknowns
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]
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)
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upper = np.full(len(self.unknowns), np.inf)
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def assign(values) -> None:
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for unknown, value in zip(self.unknowns, values):
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unknown.write(float(value) * variable_scale(unknown))
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def scaled_residuals(values):
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assign(values)
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equations = self.network.pressure_flow_equation_residuals()
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return np.asarray(
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[
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equation.value
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/ (pressure_scale if equation.role == "effort" else flow_scale)
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for equation in equations
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],
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dtype=float,
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)
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result = least_squares(
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scaled_residuals,
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x0,
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bounds=(lower, upper),
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x_scale="jac",
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ftol=1e-10,
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xtol=1e-10,
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gtol=1e-10,
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max_nfev=self.max_evaluations,
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)
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assign(result.x)
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equations = self.network.pressure_flow_equation_residuals()
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scaled = [
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abs(
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equation.value
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/ (pressure_scale if equation.role == "effort" else flow_scale)
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)
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for equation in equations
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]
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success = bool(result.success) and max(scaled, default=0.0) <= self.residual_tolerance
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diagnostics = AlgebraicSolveDiagnostics(
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success=success,
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message=str(result.message),
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evaluations=int(result.nfev),
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pressure_scale=pressure_scale,
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flow_scale=flow_scale,
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max_scaled_residual=max(scaled, default=0.0),
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max_raw_residual=max((abs(item.value) for item in equations), default=0.0),
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)
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self.last_diagnostics = diagnostics
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if not success:
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raise AlgebraicSolveError(
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"Pressure-flow equations did not converge to the requested tolerance.",
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diagnostics,
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)
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return diagnostics
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@@ -0,0 +1,308 @@
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from __future__ import annotations
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from dataclasses import dataclass
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from typing import Callable, Literal
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CancellationCheck = Callable[[], bool]
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AcceptedStepCallback = Callable[[float], None]
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IntegrationStatus = Literal["completed", "cancelled", "failed"]
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class _IntegrationCancelled(Exception):
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pass
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@dataclass(frozen=True)
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class SolveIVPConfig:
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t_start: float = 0.0
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t_stop: float = 20.0
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method: str = "BDF"
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rtol: float = 1e-6
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atol: float = 1e-8
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max_step: float = 1e-3
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@dataclass(frozen=True)
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class ODESolution:
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t: list[float]
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y: list[list[float]]
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success: bool
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message: str
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status: IntegrationStatus = "completed"
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error: Exception | None = None
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def _vector_add(a: list[float], b: list[float], scale: float = 1.0) -> list[float]:
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return [x + scale * y for x, y in zip(a, b)]
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def _append_solution_sample(
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times: list[float],
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states: list[list[float]],
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time: float,
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state: list[float],
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) -> None:
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if times and time <= times[-1] + 1e-12:
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return
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times.append(float(time))
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for index, value in enumerate(state):
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states[index].append(float(value))
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def _runge_kutta_4(
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rhs: Callable[[float, list[float]], list[float]],
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initial_state: list[float],
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config: SolveIVPConfig,
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t_eval: list[float] | None,
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cancel_check: CancellationCheck | None = None,
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accepted_step_callback: AcceptedStepCallback | None = None,
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) -> ODESolution:
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if t_eval is None:
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point_count = max(
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2,
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int((config.t_stop - config.t_start) / max(config.max_step, 1e-6)) + 1,
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)
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step = (config.t_stop - config.t_start) / (point_count - 1)
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t_eval = [config.t_start + index * step for index in range(point_count)]
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state = list(initial_state)
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states = [[value] for value in state]
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times = [float(t_eval[0])]
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current_time = float(t_eval[0])
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status: IntegrationStatus = "completed"
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message = "Integrated with built-in RK4 fallback because SciPy is unavailable."
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error: Exception | None = None
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try:
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for target_time in t_eval[1:]:
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while current_time < target_time - 1e-15:
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if cancel_check is not None and cancel_check():
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raise _IntegrationCancelled
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dt = min(config.max_step, target_time - current_time)
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k1 = rhs(current_time, state)
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k2 = rhs(current_time + 0.5 * dt, _vector_add(state, k1, 0.5 * dt))
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k3 = rhs(current_time + 0.5 * dt, _vector_add(state, k2, 0.5 * dt))
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k4 = rhs(current_time + dt, _vector_add(state, k3, dt))
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state = [
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value + (dt / 6.0) * (a + 2.0 * b + 2.0 * c + d)
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for value, a, b, c, d in zip(state, k1, k2, k3, k4)
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]
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current_time += dt
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if accepted_step_callback is not None:
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accepted_step_callback(current_time)
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_append_solution_sample(times, states, target_time, state)
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except _IntegrationCancelled:
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status = "cancelled"
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message = "Simulation was stopped before reaching the requested end time."
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_append_solution_sample(times, states, current_time, state)
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except Exception as exc:
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status = "failed"
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message = str(exc)
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error = exc
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_append_solution_sample(times, states, current_time, state)
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return ODESolution(
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t=times,
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y=states,
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success=status == "completed",
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message=message,
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status=status,
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error=error,
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)
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def _integrate_scipy_stepwise(
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rhs: Callable[[float, list[float]], list[float]],
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initial_state: list[float],
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config: SolveIVPConfig,
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t_eval: list[float] | None,
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cancel_check: CancellationCheck,
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accepted_step_callback: AcceptedStepCallback | None,
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) -> ODESolution:
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import numpy as np
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from scipy.integrate import BDF, DOP853, LSODA, RK23, RK45, Radau
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solver_types = {
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"BDF": BDF,
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"DOP853": DOP853,
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"LSODA": LSODA,
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"RK23": RK23,
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"RK45": RK45,
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"Radau": Radau,
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}
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solver_type = solver_types.get(config.method)
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if solver_type is None:
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raise ValueError(f"Unsupported integration method: {config.method}")
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times = [float(config.t_start)]
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states = [[float(value)] for value in initial_state]
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last_accepted_time = float(config.t_start)
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last_accepted_state = [float(value) for value in initial_state]
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sample_times = list(t_eval or [])
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sample_index = 0
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while (
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sample_index < len(sample_times)
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and sample_times[sample_index] <= config.t_start + 1e-12
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):
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sample_index += 1
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def cancellable_rhs(time, state):
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if cancel_check():
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raise _IntegrationCancelled
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return rhs(float(time), [float(value) for value in state])
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if cancel_check():
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return ODESolution(
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t=times,
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y=states,
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success=False,
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message="Simulation was stopped before integration started.",
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status="cancelled",
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)
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try:
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solver = solver_type(
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cancellable_rhs,
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config.t_start,
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np.asarray(initial_state, dtype=float),
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config.t_stop,
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rtol=config.rtol,
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atol=config.atol,
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max_step=config.max_step,
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)
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except _IntegrationCancelled:
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return ODESolution(
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t=times,
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y=states,
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success=False,
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message="Simulation was stopped before integration started.",
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status="cancelled",
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)
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except Exception as exc:
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return ODESolution(
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t=times,
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y=states,
|
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success=False,
|
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message=str(exc),
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status="failed",
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error=exc,
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)
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status: IntegrationStatus = "completed"
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message = "The solver successfully reached the end of the integration interval."
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error: Exception | None = None
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while solver.status == "running":
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if cancel_check():
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status = "cancelled"
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message = "Simulation was stopped before reaching the requested end time."
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break
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try:
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step_message = solver.step()
|
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except _IntegrationCancelled:
|
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status = "cancelled"
|
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message = "Simulation was stopped before reaching the requested end time."
|
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break
|
||||
except Exception as exc:
|
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status = "failed"
|
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message = str(exc)
|
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error = exc
|
||||
break
|
||||
|
||||
if solver.status == "failed":
|
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status = "failed"
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message = str(step_message or "Integration step failed.")
|
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break
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|
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last_accepted_time = float(solver.t)
|
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last_accepted_state = [float(value) for value in solver.y]
|
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if sample_times:
|
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dense_output = solver.dense_output()
|
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while (
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sample_index < len(sample_times)
|
||||
and sample_times[sample_index] <= last_accepted_time + 1e-12
|
||||
):
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sample_time = float(sample_times[sample_index])
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sample_state = [float(value) for value in dense_output(sample_time)]
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_append_solution_sample(times, states, sample_time, sample_state)
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sample_index += 1
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else:
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_append_solution_sample(
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times,
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||||
states,
|
||||
last_accepted_time,
|
||||
last_accepted_state,
|
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)
|
||||
if accepted_step_callback is not None:
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accepted_step_callback(last_accepted_time)
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||||
|
||||
if status != "completed":
|
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_append_solution_sample(
|
||||
times,
|
||||
states,
|
||||
last_accepted_time,
|
||||
last_accepted_state,
|
||||
)
|
||||
|
||||
return ODESolution(
|
||||
t=times,
|
||||
y=states,
|
||||
success=status == "completed",
|
||||
message=message,
|
||||
status=status,
|
||||
error=error,
|
||||
)
|
||||
|
||||
|
||||
def integrate_ode(
|
||||
rhs: Callable[[float, list[float]], list[float]],
|
||||
initial_state: list[float],
|
||||
config: SolveIVPConfig,
|
||||
t_eval: list[float] | None = None,
|
||||
cancel_check: CancellationCheck | None = None,
|
||||
accepted_step_callback: AcceptedStepCallback | None = None,
|
||||
):
|
||||
"""Thin wrapper around scipy.integrate.solve_ivp with a pure-Python fallback."""
|
||||
|
||||
if abs(config.t_stop - config.t_start) <= 1e-15:
|
||||
return ODESolution(
|
||||
t=[float(config.t_start)],
|
||||
y=[[value] for value in initial_state],
|
||||
success=True,
|
||||
message="Skipped integration because t_start equals t_stop.",
|
||||
)
|
||||
|
||||
try:
|
||||
from scipy.integrate import solve_ivp
|
||||
except ImportError:
|
||||
return _runge_kutta_4(
|
||||
rhs,
|
||||
initial_state,
|
||||
config,
|
||||
t_eval,
|
||||
cancel_check,
|
||||
accepted_step_callback,
|
||||
)
|
||||
|
||||
if cancel_check is not None:
|
||||
return _integrate_scipy_stepwise(
|
||||
rhs,
|
||||
initial_state,
|
||||
config,
|
||||
t_eval,
|
||||
cancel_check,
|
||||
accepted_step_callback,
|
||||
)
|
||||
|
||||
return solve_ivp(
|
||||
fun=rhs,
|
||||
t_span=(config.t_start, config.t_stop),
|
||||
y0=initial_state,
|
||||
method=config.method,
|
||||
rtol=config.rtol,
|
||||
atol=config.atol,
|
||||
max_step=config.max_step,
|
||||
t_eval=t_eval,
|
||||
)
|
||||
@@ -0,0 +1,119 @@
|
||||
from __future__ import annotations
|
||||
|
||||
from dataclasses import dataclass
|
||||
|
||||
from app.simulation.core.base import DynamicComponent
|
||||
from app.simulation.systems.network import Endpoint, SimulationNetwork
|
||||
|
||||
|
||||
class StreamSolveError(RuntimeError):
|
||||
def __init__(self, message: str, diagnostics: "StreamSolveDiagnostics") -> None:
|
||||
super().__init__(message)
|
||||
self.diagnostics = diagnostics
|
||||
|
||||
|
||||
@dataclass(frozen=True)
|
||||
class StreamSolveDiagnostics:
|
||||
converged: bool
|
||||
iterations: int
|
||||
max_delta: float
|
||||
|
||||
def as_dict(self) -> dict[str, object]:
|
||||
return {
|
||||
"converged": self.converged,
|
||||
"iterations": self.iterations,
|
||||
"maxDelta": self.max_delta,
|
||||
}
|
||||
|
||||
|
||||
class StreamResolver:
|
||||
"""Resolve outflow enthalpy propagation after pressure and flow are known."""
|
||||
|
||||
def __init__(
|
||||
self,
|
||||
network: SimulationNetwork,
|
||||
*,
|
||||
relative_tolerance: float = 1e-9,
|
||||
max_iterations: int = 100,
|
||||
) -> None:
|
||||
self.network = network
|
||||
self.relative_tolerance = relative_tolerance
|
||||
self.max_iterations = max_iterations
|
||||
self._connected_endpoint = self._build_connection_map()
|
||||
self.last_diagnostics: StreamSolveDiagnostics | None = None
|
||||
|
||||
def _build_connection_map(self) -> dict[Endpoint, Endpoint]:
|
||||
result: dict[Endpoint, Endpoint] = {}
|
||||
for connection in self.network.connections:
|
||||
if connection.kind != "physical":
|
||||
continue
|
||||
first, second = connection.endpoints
|
||||
result[first] = second
|
||||
result[second] = first
|
||||
return result
|
||||
|
||||
def connected_enthalpies(self) -> dict[str, dict[str, float]]:
|
||||
values: dict[str, dict[str, float]] = {
|
||||
component.name: {} for component in self.network.components.values()
|
||||
}
|
||||
for endpoint, connected in self._connected_endpoint.items():
|
||||
connected_port = self.network.components[connected.component].get_port(
|
||||
connected.port
|
||||
)
|
||||
values[endpoint.component][endpoint.port] = connected_port.h_outflow
|
||||
return values
|
||||
|
||||
def solve(self) -> tuple[StreamSolveDiagnostics, dict[str, dict[str, float]]]:
|
||||
dynamic_components = [
|
||||
component
|
||||
for component in self.network.components.values()
|
||||
if isinstance(component, DynamicComponent)
|
||||
]
|
||||
for component in dynamic_components:
|
||||
component.refresh_thermodynamic_ports()
|
||||
|
||||
max_delta = 0.0
|
||||
for iteration in range(1, self.max_iterations + 1):
|
||||
previous = {
|
||||
(component.name, port_name): port.h_outflow
|
||||
for component in self.network.components.values()
|
||||
for port_name, port in component.ports.items()
|
||||
}
|
||||
connected = self.connected_enthalpies()
|
||||
for component in self.network.components.values():
|
||||
if isinstance(component, DynamicComponent):
|
||||
component.refresh_thermodynamic_ports()
|
||||
else:
|
||||
component.update_stream_outflows(connected[component.name])
|
||||
|
||||
deltas = [
|
||||
abs(port.h_outflow - previous[(component.name, port_name)])
|
||||
for component in self.network.components.values()
|
||||
for port_name, port in component.ports.items()
|
||||
]
|
||||
magnitudes = [
|
||||
abs(port.h_outflow)
|
||||
for component in self.network.components.values()
|
||||
for port in component.ports.values()
|
||||
]
|
||||
max_delta = max(deltas, default=0.0)
|
||||
scale = max(magnitudes + [1.0])
|
||||
if max_delta <= self.relative_tolerance * scale:
|
||||
diagnostics = StreamSolveDiagnostics(
|
||||
converged=True,
|
||||
iterations=iteration,
|
||||
max_delta=max_delta,
|
||||
)
|
||||
self.last_diagnostics = diagnostics
|
||||
return diagnostics, self.connected_enthalpies()
|
||||
|
||||
diagnostics = StreamSolveDiagnostics(
|
||||
converged=False,
|
||||
iterations=self.max_iterations,
|
||||
max_delta=max_delta,
|
||||
)
|
||||
self.last_diagnostics = diagnostics
|
||||
raise StreamSolveError(
|
||||
"Stream enthalpy propagation did not converge.",
|
||||
diagnostics,
|
||||
)
|
||||
Reference in new issue
Block a user