Simulation Methods
The numerical engines behind every simulation. Browse by category to understand each method and how PolySim applies it.
Discretization
Finite Element Method (FEM)Finite Volume Method (FVM)Finite Difference Method (FDM)Spectral MethodsBoundary Element Method (BEM)Explicit Finite Element Method (FEM)Implicit Finite Element Method (FEM)2D Finite Element Method (FEM)3D Finite Element Method (FEM)Transient Finite Element Method (FEM)Steady-State Finite Element Method (FEM)GPU-Accelerated Finite Element Method (FEM)Explicit Finite Volume Method (FVM)Implicit Finite Volume Method (FVM)2D Finite Volume Method (FVM)3D Finite Volume Method (FVM)Transient Finite Volume Method (FVM)Steady-State Finite Volume Method (FVM)GPU-Accelerated Finite Volume Method (FVM)Explicit Finite Difference Method (FDM)Implicit Finite Difference Method (FDM)2D Finite Difference Method (FDM)3D Finite Difference Method (FDM)Transient Finite Difference Method (FDM)Steady-State Finite Difference Method (FDM)GPU-Accelerated Finite Difference Method (FDM)Explicit Spectral MethodsImplicit Spectral Methods2D Spectral Methods3D Spectral MethodsTransient Spectral MethodsSteady-State Spectral MethodsGPU-Accelerated Spectral MethodsExplicit Boundary Element Method (BEM)Implicit Boundary Element Method (BEM)2D Boundary Element Method (BEM)3D Boundary Element Method (BEM)Transient Boundary Element Method (BEM)Steady-State Boundary Element Method (BEM)GPU-Accelerated Boundary Element Method (BEM)
Time integration
Runge–Kutta (RK4)Semi-Implicit EulerVerlet IntegrationExplicit Runge–Kutta (RK4)Implicit Runge–Kutta (RK4)2D Runge–Kutta (RK4)3D Runge–Kutta (RK4)Transient Runge–Kutta (RK4)Steady-State Runge–Kutta (RK4)GPU-Accelerated Runge–Kutta (RK4)Explicit Semi-Implicit EulerImplicit Semi-Implicit Euler2D Semi-Implicit Euler3D Semi-Implicit EulerTransient Semi-Implicit EulerSteady-State Semi-Implicit EulerGPU-Accelerated Semi-Implicit EulerExplicit Verlet IntegrationImplicit Verlet Integration2D Verlet Integration3D Verlet IntegrationTransient Verlet IntegrationSteady-State Verlet IntegrationGPU-Accelerated Verlet Integration
Fluid
Semi-Lagrangian AdvectionSmoothed-Particle Hydrodynamics (SPH)Lattice Boltzmann Method (LBM)Turbulence Modeling (RANS/LES)Explicit Semi-Lagrangian AdvectionImplicit Semi-Lagrangian Advection2D Semi-Lagrangian Advection3D Semi-Lagrangian AdvectionTransient Semi-Lagrangian AdvectionSteady-State Semi-Lagrangian AdvectionGPU-Accelerated Semi-Lagrangian AdvectionExplicit Smoothed-Particle Hydrodynamics (SPH)Implicit Smoothed-Particle Hydrodynamics (SPH)2D Smoothed-Particle Hydrodynamics (SPH)3D Smoothed-Particle Hydrodynamics (SPH)Transient Smoothed-Particle Hydrodynamics (SPH)Steady-State Smoothed-Particle Hydrodynamics (SPH)GPU-Accelerated Smoothed-Particle Hydrodynamics (SPH)Explicit Lattice Boltzmann Method (LBM)Implicit Lattice Boltzmann Method (LBM)2D Lattice Boltzmann Method (LBM)3D Lattice Boltzmann Method (LBM)Transient Lattice Boltzmann Method (LBM)Steady-State Lattice Boltzmann Method (LBM)GPU-Accelerated Lattice Boltzmann Method (LBM)Explicit Turbulence Modeling (RANS/LES)Implicit Turbulence Modeling (RANS/LES)2D Turbulence Modeling (RANS/LES)3D Turbulence Modeling (RANS/LES)Transient Turbulence Modeling (RANS/LES)Steady-State Turbulence Modeling (RANS/LES)GPU-Accelerated Turbulence Modeling (RANS/LES)