370 lines
16 KiB
C#
370 lines
16 KiB
C#
using FluidSim.Components;
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using FluidSim.Interfaces;
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using System;
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namespace FluidSim.Core
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{
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public class BoundarySystem
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{
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// ---------- Private constants ----------
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private const float Gamma = 1.4f;
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private const float Gm1 = Gamma - 1f; // 0.4
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private const float Rgas = 287f; // J/(kg·K)
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private const float GammaOverGm1 = Gamma / Gm1; // 3.5
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public struct OrificeDesc
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{
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public Port VolumePort;
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public int PipeIndex;
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public bool IsLeftEnd;
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public int AreaIndex;
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public float DischargeCoeff;
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// --- Inertance support ---
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public bool UseInertance;
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public float EffectiveLength;
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public float CurrentMdot; // kg/s, positive = volume → pipe
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// --- Loss coefficient (linear resistance) – inertance only ---
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// If 0 when UseInertance is true, a stable default is auto‑computed at runtime.
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public float LossCoefficient; // N·s/m⁵ or kg/(m⁴·s)
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}
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public struct OpenEndDesc
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{
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public int PipeIndex;
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public bool IsLeftEnd;
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public float AmbientPressure;
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public float Gamma;
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public float PipeArea;
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public float LastMassFlowRate;
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public float LastFacePressure;
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}
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private OrificeDesc[] _orifices;
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private OpenEndDesc[] _openEnds;
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private float[] _orificeAreas;
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private PipeSystem _pipeSystem;
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public BoundarySystem(PipeSystem pipeSystem, int maxOrifices, int maxOpenEnds)
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{
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_pipeSystem = pipeSystem;
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_orifices = new OrificeDesc[maxOrifices];
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_openEnds = new OpenEndDesc[maxOpenEnds];
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_orificeAreas = new float[maxOrifices];
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}
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public int OrificeCount { get; private set; }
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public int OpenEndCount { get; private set; }
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// ---------- Add orifice (no inertance) ----------
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// Simple isentropic nozzle – no built‑in loss. For dissipation use pipe damping
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// or the inertance model if you need a damped resonator.
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public void AddOrifice(Port volumePort, int pipeIndex, bool isLeftEnd,
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int areaIndex, float dischargeCoeff = 1f)
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{
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_orifices[OrificeCount] = new OrificeDesc
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{
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VolumePort = volumePort,
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PipeIndex = pipeIndex,
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IsLeftEnd = isLeftEnd,
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AreaIndex = areaIndex,
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DischargeCoeff = dischargeCoeff,
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UseInertance = false,
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EffectiveLength = 0f,
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CurrentMdot = 0f,
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LossCoefficient = 0f
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};
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OrificeCount++;
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}
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// ---------- Add orifice with inertance ----------
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// effectiveLength – length of the inertial slug (m), typically the physical neck length.
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// lossCoefficient – linear resistance (N·s/m⁵). If 0 (or omitted) an automatic stable
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// value will be computed from the pipe's characteristic impedance.
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public void AddOrificeWithInertance(Port volumePort, int pipeIndex, bool isLeftEnd,
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int areaIndex, float dischargeCoeff,
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float effectiveLength, float lossCoefficient = 0f)
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{
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AddOrifice(volumePort, pipeIndex, isLeftEnd, areaIndex, dischargeCoeff);
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ref var d = ref _orifices[OrificeCount - 1];
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d.UseInertance = true;
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d.EffectiveLength = effectiveLength;
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d.LossCoefficient = lossCoefficient;
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}
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public void AddOpenEnd(int pipeIndex, bool isLeftEnd,
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float ambientPressure, float pipeArea, float gamma = 1.4f)
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{
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int idx = OpenEndCount;
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_openEnds[idx] = new OpenEndDesc
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{
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PipeIndex = pipeIndex,
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IsLeftEnd = isLeftEnd,
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AmbientPressure = ambientPressure,
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Gamma = gamma,
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PipeArea = pipeArea
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};
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OpenEndCount++;
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}
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public void SetOrificeAreas(float[] areas)
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{
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for (int i = 0; i < OrificeCount; i++)
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_orificeAreas[i] = areas[i];
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}
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public float GetOpenEndMassFlow(int openEndIndex)
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{
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if (openEndIndex < 0 || openEndIndex >= OpenEndCount) return 0f;
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return _openEnds[openEndIndex].LastMassFlowRate;
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}
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public float GetOpenEndPressure(int openEndIndex)
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{
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if (openEndIndex < 0 || openEndIndex >= OpenEndCount) return 101325f;
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return _openEnds[openEndIndex].LastFacePressure;
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}
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// ---------- Resolve all orifices ----------
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public void ResolveOrifices(float dt)
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{
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for (int i = 0; i < OrificeCount; i++)
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{
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ref var d = ref _orifices[i];
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float area = _orificeAreas[d.AreaIndex];
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// Gather volume state
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float volP = d.VolumePort?.Pressure ?? 101325f;
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float volRho = d.VolumePort?.Density ?? 1.2f;
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float volT = d.VolumePort?.Temperature ?? 300f;
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float volH = d.VolumePort?.SpecificEnthalpy ?? 0f;
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float volAF = d.VolumePort?.AirFraction ?? 1f;
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// Gather pipe interior state
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var (pipeRho, pipeU, pipeP) = d.IsLeftEnd
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? _pipeSystem.GetInteriorStateLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorStateRight(d.PipeIndex);
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float pipeT = pipeP / MathF.Max(pipeRho * Rgas, 1e-12f);
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float pipeAF = d.IsLeftEnd
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? _pipeSystem.GetInteriorAirFractionLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorAirFractionRight(d.PipeIndex);
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// ---- Handle closed orifice as a wall ----
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if (area < 1e-12f || d.VolumePort == null)
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{
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var (rInt, uInt, pInt) = d.IsLeftEnd
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? _pipeSystem.GetInteriorStateLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorStateRight(d.PipeIndex);
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float afInt = d.IsLeftEnd
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? _pipeSystem.GetInteriorAirFractionLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorAirFractionRight(d.PipeIndex);
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if (d.IsLeftEnd)
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_pipeSystem.SetGhostLeft(d.PipeIndex, rInt, -uInt, pInt, afInt);
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else
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_pipeSystem.SetGhostRight(d.PipeIndex, rInt, -uInt, pInt, afInt);
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if (d.VolumePort != null) d.VolumePort.MassFlowRate = 0f;
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continue;
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}
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// ---- Preliminary isentropic solution (for reference) ----
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float mdotEst, rhoFaceEst, uFaceEst, pFaceEst;
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if (volP >= pipeP)
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{
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IsentropicOrifice.Compute(volP, volRho, volT, pipeP, Gamma, Rgas, area, d.DischargeCoeff,
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out mdotEst, out rhoFaceEst, out uFaceEst, out pFaceEst);
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}
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else
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{
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IsentropicOrifice.Compute(pipeP, pipeRho, pipeT, volP, Gamma, Rgas, area, d.DischargeCoeff,
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out mdotEst, out rhoFaceEst, out uFaceEst, out pFaceEst);
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mdotEst = -mdotEst;
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}
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// ---- Compute ghost state ----
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float mdotFinal, rhoFace, uFace, pFace, airFracGhost;
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if (d.UseInertance)
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{
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// ---- Inertance ODE with (possibly automatic) linear loss ----
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float rhoUp = d.CurrentMdot >= 0 ? volRho : pipeRho;
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float inertance = rhoUp * d.EffectiveLength / MathF.Max(area, 1e-12f);
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float dp = volP - pipeP;
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// If loss coefficient not provided, use a tiny fraction of the pipe's characteristic impedance
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float Rlin = d.LossCoefficient;
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if (Rlin <= 0f)
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{
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// Auto‑sized linear drag: 0.5 % of Z_char
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float rhoRef = d.CurrentMdot >= 0 ? volRho : pipeRho;
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float cRef = d.CurrentMdot >= 0 ? MathF.Sqrt(Gamma * Rgas * volT) : MathF.Sqrt(Gamma * Rgas * pipeT);
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float Z_char = rhoRef * cRef / MathF.Max(area, 1e-12f);
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Rlin = 0.005f * Z_char;
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}
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float dmdot_dt = (dp - Rlin * d.CurrentMdot) / MathF.Max(inertance, 1e-12f);
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float mdotNew = d.CurrentMdot + dmdot_dt * dt;
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// Symmetric flow limiters
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if (d.VolumePort.Owner is Volume0D vol0)
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{
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float maxOut = vol0.Mass / dt;
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if (mdotNew > maxOut) mdotNew = maxOut;
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if (mdotNew < -maxOut) mdotNew = -maxOut;
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}
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int adjCell = d.IsLeftEnd ? _pipeSystem.GetPipeStart(d.PipeIndex)
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: _pipeSystem.GetPipeEnd(d.PipeIndex) - 1;
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float pipeRhoAdj = _pipeSystem.GetCellDensity(adjCell);
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float pipeDxAdj = _pipeSystem.GetCellDx(adjCell);
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float pipeCellMass = pipeRhoAdj * area * pipeDxAdj;
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float maxFromPipe = pipeCellMass / dt;
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if (mdotNew < -maxFromPipe) mdotNew = -maxFromPipe;
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// Velocity clamp Mach 0.9
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float rhoFacePrelim = mdotNew >= 0 ? volRho : pipeRho;
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float uFacePrelim = MathF.Abs(mdotNew) / MathF.Max(rhoFacePrelim * area, 1e-12f);
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float cUp = mdotNew >= 0 ? MathF.Sqrt(Gamma * Rgas * volT) : MathF.Sqrt(Gamma * Rgas * pipeT);
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float maxU = 0.9f * cUp;
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if (uFacePrelim > maxU)
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{
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uFacePrelim = maxU;
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mdotNew = rhoFacePrelim * uFacePrelim * area * (mdotNew >= 0 ? 1f : -1f);
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}
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if (float.IsNaN(mdotNew)) mdotNew = 0f;
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d.CurrentMdot = mdotNew;
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mdotFinal = mdotNew;
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rhoFace = mdotFinal >= 0 ? volRho : pipeRho;
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pFace = pFaceEst;
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uFace = MathF.Abs(mdotFinal) / MathF.Max(rhoFace * area, 1e-12f);
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}
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else
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{
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// ---- Standard quasi‑steady orifice (purely isentropic) ----
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mdotFinal = mdotEst;
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rhoFace = rhoFaceEst;
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uFace = uFaceEst;
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pFace = pFaceEst;
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// Limit outflow from cavity
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if (d.VolumePort.Owner is Volume0D vol0)
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{
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float maxOut = vol0.Mass / dt;
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if (mdotFinal > maxOut) mdotFinal = maxOut;
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}
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// Safety velocity clamp (Mach 0.9)
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float cLocal = mdotFinal >= 0 ? MathF.Sqrt(Gamma * Rgas * volT) : MathF.Sqrt(Gamma * Rgas * pipeT);
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float maxULocal = 0.9f * cLocal;
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float uCheck = MathF.Abs(mdotFinal) / MathF.Max(rhoFace * area, 1e-12f);
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if (uCheck > maxULocal)
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{
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uFace = maxULocal;
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mdotFinal = rhoFace * uFace * area * (mdotFinal >= 0 ? 1f : -1f);
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}
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d.CurrentMdot = mdotFinal;
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}
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// ---- Determine air fraction for ghost ----
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if (mdotFinal >= 0)
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{
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airFracGhost = volAF;
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}
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else
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{
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airFracGhost = pipeAF;
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if (d.VolumePort != null) d.VolumePort.AirFraction = pipeAF;
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}
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// ---- Apply sign convention for velocity ----
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if (mdotFinal >= 0 && d.IsLeftEnd) uFace = +uFace;
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else if (mdotFinal >= 0 && !d.IsLeftEnd) uFace = -uFace;
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else if (mdotFinal < 0 && d.IsLeftEnd) uFace = -uFace;
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else if (mdotFinal < 0 && !d.IsLeftEnd) uFace = +uFace;
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// ---- Set ghost cells ----
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if (d.IsLeftEnd)
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_pipeSystem.SetGhostLeft(d.PipeIndex, rhoFace, uFace, pFace, airFracGhost);
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else
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_pipeSystem.SetGhostRight(d.PipeIndex, rhoFace, uFace, pFace, airFracGhost);
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// ---- Update volume port ----
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if (d.VolumePort != null)
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{
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d.VolumePort.MassFlowRate = -mdotFinal;
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if (-mdotFinal >= 0) // mass flowing into the volume
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{
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float pipeH = GammaOverGm1 * pipeP / MathF.Max(pipeRho, 1e-12f);
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d.VolumePort.SpecificEnthalpy = pipeH;
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}
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else // mass flowing out of the volume
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{
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d.VolumePort.SpecificEnthalpy = volH;
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}
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}
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}
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}
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// ---------- Resolve open ends ----------
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public void ResolveOpenEnds(float dt)
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{
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for (int i = 0; i < OpenEndCount; i++)
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{
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ref var d = ref _openEnds[i];
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var (rhoInt, uInt, pInt) = d.IsLeftEnd
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? _pipeSystem.GetInteriorStateLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorStateRight(d.PipeIndex);
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float afInt = d.IsLeftEnd
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? _pipeSystem.GetInteriorAirFractionLeft(d.PipeIndex)
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: _pipeSystem.GetInteriorAirFractionRight(d.PipeIndex);
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float gamma = d.Gamma;
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float gm1 = gamma - 1f;
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float cInt = MathF.Sqrt(gamma * pInt / MathF.Max(rhoInt, 1e-12f));
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float pAmb = d.AmbientPressure;
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float Jplus = uInt + 2f * cInt / gm1;
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float Jminus = uInt - 2f * cInt / gm1;
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float s = pInt / MathF.Pow(rhoInt, gamma);
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float rhoIso = MathF.Pow(pAmb / s, 1f / gamma);
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float cIso = MathF.Sqrt(gamma * pAmb / MathF.Max(rhoIso, 1e-12f));
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float uIso = d.IsLeftEnd
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? (Jminus + 2f * cIso / gm1)
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: (Jplus - 2f * cIso / gm1);
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bool supersonic = d.IsLeftEnd ? (uInt <= -cInt) : (uInt >= cInt);
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float rhoGhost, uGhost, pGhost, afGhost;
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if (supersonic)
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{
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rhoGhost = rhoInt; uGhost = uInt; pGhost = pInt; afGhost = afInt;
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}
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else
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{
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rhoGhost = rhoIso; uGhost = uIso; pGhost = pAmb;
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bool inflow = d.IsLeftEnd ? (uIso >= 0f) : (uIso <= 0f);
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afGhost = inflow ? 1f : afInt;
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}
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if (d.IsLeftEnd)
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_pipeSystem.SetGhostLeft(d.PipeIndex, rhoGhost, uGhost, pGhost, afGhost);
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else
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_pipeSystem.SetGhostRight(d.PipeIndex, rhoGhost, uGhost, pGhost, afGhost);
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float area = d.PipeArea;
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float mdot = rhoGhost * uGhost * area;
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if (d.IsLeftEnd) mdot = -mdot;
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d.LastMassFlowRate = mdot;
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d.LastFacePressure = pGhost;
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}
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}
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}
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} |