本文档列出 pyOpenFOAM 的所有应用级求解器，按类别组织，并提供使用示例。
所有求解器遵循相同的使用模式：
from pyfoam.applications import SolverName
solver = SolverName("path/to/openfoam/case")
solver.run()案例目录需包含标准 OpenFOAM 结构：
case/
├── 0/ # 初始/边界条件
│ ├── U
│ ├── p
│ └── (k, epsilon, nut, ...)
├── constant/
│ ├── polyMesh/ # 网格
│ ├── transportProperties
│ └── turbulenceProperties
└── system/
├── controlDict
├── fvSchemes
└── fvSolution
瞬态不可压缩层流 — PISO 算法
最简单的瞬态不可压缩求解器，求解层流 Navier-Stokes 方程：
dU/dt + div(UU) - laplacian(nu, U) = -grad(p)
div(U) = 0
from pyfoam.applications import IcoFoam
solver = IcoFoam("tutorials/icoFoam/cavity")
solver.run()适用场景：低 Reynolds 数层流、教学演示、验证案例
稳态不可压缩 — SIMPLE 算法
稳态不可压缩求解器，支持湍流模型：
from pyfoam.applications import SimpleFoam
solver = SimpleFoam("tutorials/simpleFoam/pitzDaily")
solver.run()适用场景：稳态外流/内流、气动分析、管道流动
瞬态不可压缩层流 — PISO 算法
与 IcoFoam 类似但支持更灵活的配置：
from pyfoam.applications import PisoFoam
solver = PisoFoam("tutorials/pisoFoam/channel395")
solver.run()适用场景：瞬态层流、涡脱落模拟
瞬态不可压缩 — PIMPLE 算法（PISO + SIMPLE 混合）
支持大时间步的瞬态不可压缩求解器，内置湍流支持：
from pyfoam.applications import PimpleFoam
solver = PimpleFoam("tutorials/pimpleFoam/channel395")
solver.run()适用场景：大 CFL 数瞬态模拟、LES 湍流、工程应用
稳态单旋转坐标系不可压缩 — SIMPLE 算法
from pyfoam.applications import SrfSimpleFoam
solver = SrfSimpleFoam("tutorials/srfSimpleFoam/mixerVessel2D")
solver.run()适用场景：搅拌器、旋转机械（单参考系方法）
稳态不可压缩 + 多孔介质 — SIMPLE 算法
from pyfoam.applications import PorousSimpleFoam
solver = PorousSimpleFoam("tutorials/porousSimpleFoam/angledDuctExplicit")
solver.run()适用场景：多孔介质流动、过滤器、热交换器
一维边界层求解器
from pyfoam.applications import BoundaryFoam
solver = BoundaryFoam("tutorials/boundaryFoam")
solver.run()适用场景：边界层剖面研究、壁面律验证
统一不可压缩求解器 — 自动选择 SIMPLE/PISO/PIMPLE
根据 fvSolution 中的配置自动选择算法：
from pyfoam.applications import IncompressibleFluidFoam
solver = IncompressibleFluidFoam("path/to/case")
solver.run()稳态可压缩 — SIMPLE 算法
from pyfoam.applications import RhoSimpleFoam
solver = RhoSimpleFoam("tutorials/rhoSimpleFoam/angledDuct")
solver.run()适用场景：稳态可压缩内流、Ma < 3 的亚音速/跨音速流动
瞬态可压缩 — PIMPLE 算法
from pyfoam.applications import RhoPimpleFoam
solver = RhoPimpleFoam("tutorials/rhoPimpleFoam/laminar/roundJet")
solver.run()适用场景：瞬态可压缩流动、喷射流
瞬态可压缩（声速）
from pyfoam.applications import SonicFoam
solver = SonicFoam("tutorials/sonicFoam/laminar/shockTube")
solver.run()适用场景：激波管、可压缩瞬态问题
密度基可压缩 — Kurganov-Tadmor 中心格式
from pyfoam.applications import RhoCentralFoam
solver = RhoCentralFoam("tutorials/rhoCentralFoam/forwardStep")
solver.run()适用场景：高超声速流动、激波捕捉
瞬态等温可压缩 — PIMPLE 算法
from pyfoam.applications import IsothermalFluidFoam
solver = IsothermalFluidFoam("path/to/case")
solver.run()统一可压缩求解器 — 完整能量方程（PIMPLE）
from pyfoam.applications import FluidFoam
solver = FluidFoam("path/to/case")
solver.run()稳态可压缩 + 多孔介质 — SIMPLE 算法
from pyfoam.applications import RhoPorousSimpleFoam
solver = RhoPorousSimpleFoam("path/to/case")
solver.run()稳态浮力可压缩 — SIMPLE 算法
from pyfoam.applications import BuoyantSimpleFoam
solver = BuoyantSimpleFoam("tutorials/buoyantSimpleFoam/hotRoom")
solver.run()适用场景：自然对流、热浮力、通风
瞬态浮力可压缩 — PIMPLE 算法
from pyfoam.applications import BuoyantPimpleFoam
solver = BuoyantPimpleFoam("tutorials/buoyantPimpleFoam/hotRoom")
solver.run()适用场景：瞬态自然对流、火灾模拟
稳态 Boussinesq 近似浮力 — SIMPLE 算法
使用 Boussinesq 近似（密度变化仅在浮力项中考虑）：
from pyfoam.applications import BuoyantBoussinesqSimpleFoam
solver = BuoyantBoussinesqSimpleFoam("path/to/case")
solver.run()适用场景：小温差自然对流（Delta-T < 15K）
稳态扩散 — Laplacian 方程
from pyfoam.applications import LaplacianFoam
solver = LaplacianFoam("tutorials/laplacianFoam/angledDuctExplicit")
solver.run()适用场景：纯导热、电势场
共轭传热多区域求解器
from pyfoam.applications import CHTMultiRegionFoam
solver = CHTMultiRegionFoam("tutorials/chtMultiRegionFoam/multiRegionHeater")
solver.run()适用场景：流-固耦合传热、电子散热
VOF 两相不可压缩
from pyfoam.applications import InterFoam
solver = InterFoam("tutorials/interFoam/laminar/damBreak")
solver.run()适用场景：自由面流动、波浪、液滴
N 相 VOF 不可压缩
from pyfoam.applications import MultiphaseInterFoam
solver = MultiphaseInterFoam("tutorials/multiphaseInterFoam/laminar/threePhaseTank")
solver.run()适用场景：三相及以上自由面流动
可压缩两相 VOF
from pyfoam.applications import CompressibleInterFoam
solver = CompressibleInterFoam("tutorials/compressibleInterFoam/laminar/sloshingTank2D")
solver.run()适用场景：可压缩自由面流动
现代 VOF 两相不可压缩 — PIMPLE + MULES
from pyfoam.applications import IncompressibleVoFFoam
solver = IncompressibleVoFFoam("path/to/case")
solver.run()可压缩两相 VOF（现代接口） — PIMPLE + 能量方程
from pyfoam.applications import CompressibleVoFFoam
solver = CompressibleVoFFoam("path/to/case")
solver.run()不可压缩漂移通量模型 — 代数滑移
from pyfoam.applications import IncompressibleDriftFluxFoam
solver = IncompressibleDriftFluxFoam("path/to/case")
solver.run()两流体 Euler-Euler 模型
from pyfoam.applications import TwoPhaseEulerFoam
solver = TwoPhaseEulerFoam("tutorials/twoPhaseEulerFoam/laminar/fluidisedBed")
solver.run()适用场景：流化床、气泡柱
N 相 Euler-Euler 模型
from pyfoam.applications import MultiphaseEulerFoam
solver = MultiphaseEulerFoam("tutorials/multiphaseEulerFoam/laminar/dahl")
solver.run()空化求解器 — Schnerr-Sauer 模型
from pyfoam.applications import CavitatingFoam
solver = CavitatingFoam("tutorials/cavitatingFoam/venturi")
solver.run()适用场景：空化流动、水力机械
势流初始化
from pyfoam.applications import PotentialFoam
solver = PotentialFoam("tutorials/potentialFoam/cylinder")
solver.run()适用场景：流场初始化（作为其他求解器的初始条件）
被动标量输运
from pyfoam.applications import ScalarTransportFoam
solver = ScalarTransportFoam("tutorials/scalarTransportFoam")
solver.run()适用场景：污染物扩散、示踪剂
反应流求解器
from pyfoam.applications import ReactingFoam
solver = ReactingFoam("tutorials/reactingFoam/laminar/counterFlowFlame2D")
solver.run()适用场景：燃烧、化学反应
固体力学位移求解器
from pyfoam.applications import SolidDisplacementFoam
solver = SolidDisplacementFoam("tutorials/solidDisplacementFoam/plateHole")
solver.run()适用场景：线弹性应力分析
零维化学动力学求解器
from pyfoam.applications import ChemFoam
solver = ChemFoam("path/to/case")
solver.run()适用场景：化学动力学研究、机理验证
二维浅水方程 — 含 Coriolis 力和底摩擦
from pyfoam.applications import ShallowWaterFoam
solver = ShallowWaterFoam("path/to/case")
solver.run()适用场景：海洋环流、洪水模拟
多组分可压缩 PIMPLE 求解器
from pyfoam.applications import MulticomponentFluidFoam
solver = MulticomponentFluidFoam("path/to/case")
solver.run()预混燃烧求解器 — b-Xi 模型（PIMPLE）
from pyfoam.applications import PDRFoam
solver = PDRFoam("path/to/case")
solver.run()静电场求解器 — Laplace/Poisson 方程
from pyfoam.applications import ElectrostaticFoam
solver = ElectrostaticFoam("path/to/case")
solver.run()静磁场求解器 — 矢量 Poisson 方程
from pyfoam.applications import MagneticFoam
solver = MagneticFoam("path/to/case")
solver.run()磁流体动力学求解器 — 耦合 NS + 感应方程
from pyfoam.applications import MhdFoam
solver = MhdFoam("path/to/case")
solver.run()自动检测算法类型（SIMPLE/PISO/PIMPLE）的统一不可压缩求解器。
| 算法 | fvSolution 配置 |
|---|---|
| SIMPLE | SIMPLE { nNonOrthogonalCorrectors ...; } |
| PISO | PISO { nCorrectors ...; } |
| PIMPLE | PIMPLE { nOuterCorrectors ...; nCorrectors ...; } |
from pyfoam.applications import IncompressibleFluidFoam, Algorithm
# 自动检测
solver = IncompressibleFluidFoam("path/to/case")
solver.run()
# 或显式指定
solver = IncompressibleFluidFoam("path/to/case", algorithm=Algorithm.PIMPLE)
solver.run()除应用级求解器外，pyOpenFOAM 还提供可独立使用的底层算法组件。
| 求解器 | 矩阵类型 | 预条件器 |
|---|---|---|
PCGSolver |
对称正定 | DIC |
PBiCGSTABSolver |
非对称 | DILU |
GAMGSolver |
通用 | 聚合粗化多重网格 |
from pyfoam.solvers import PCGSolver, create_solver
# 直接创建
solver = PCGSolver(tolerance=1e-6, max_iter=1000, preconditioner="DIC")
solution, iters, residual = solver(matrix, source, x0, tol, max_iter)
# 工厂函数
solver = create_solver("PBiCGStab", tolerance=1e-6, max_iter=1000)from pyfoam.solvers import (
SIMPLESolver, SIMPLEConfig,
PISOSolver, PISOConfig,
PIMPLESolver, PIMPLEConfig,
)
# SIMPLE
config = SIMPLEConfig(relaxation_factor_U=0.7, relaxation_factor_p=0.3, n_correctors=1)
solver = SIMPLESolver(mesh, config)
U, p, phi, convergence = solver.solve(U, p, phi, max_outer_iterations=100, tolerance=1e-4)
# PISO
config = PISOConfig(n_correctors=2)
solver = PISOSolver(mesh, config)
U, p, phi, convergence = solver.solve(U, p, phi, U_old=U_old, p_old=p_old)
# PIMPLE
config = PIMPLEConfig(n_outer_correctors=3, n_correctors=1)
solver = PIMPLESolver(mesh, config)
U, p, phi, convergence = solver.solve(U, p, phi, U_old=U_old, p_old=p_old) 稳态？
/ \
是 否
| |
SIMPLE 大 CFL？
/ \ / \
不可压缩 可压缩 是 否
| | | |
SimpleFoam Rho PIMPLE PISO/PisoFoam
Simple PimpleFoam
Foam
含浮力？ 多相？
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Buoyant* InterFoam / TwoPhaseEulerFoam / ...
Foam