List of implemented SPH solvers, algorithms and equations

Implemented physics

Incomplete list of implemented physics:

• Equations of state:
  • Ideal gas (IdealGasEos)
  • Tillotson equation of state (TillotsonEos)
  • Murnaghan equation of state (MurnaghanEos)
  • Tait equation of state (TaitEos)
• Equations of motion and energy equations
  • Acceleration due to pressure gradient (PressureForce)
  • Stress tensor divergence & Hooke's law as constitutive equation (SolidStressForce)
  • [incomplete] Navier-Stokes equation of motion (NavierStokesForce)
  • Generic external potential (ExternalForce)
  • Centripel and Coriolis force (InertialForce)
  • Surface tension & cohesion (CohesionTerm)
• Damping and friction
  • Internal friction of fluids (InternalFriction)
  • Stokes-law-like friction based on relative velocities (SimpleDamping)
• Energy transfer
  • Heat diffusion equation (HeatDiffusionEquation)
  • [planned] Flux-limited diffusion
  • [planned] Equation of radiative transfer
• Density evolution
  • Continuity equation for both solids and fluids (ContinuityEquation)
• Artificial viscosity
  • Standard SPH AV (StandardAV)
  • Time-dependent AV (MorrisMonaghanAV)
  • AV based on Riemann solvers (RiemannAV)
  • Artificial stress (StressAV)
  • Balsara switch (BalsaraSwitch)
  • Artificial thermal conductivity (ArtificialConductivity)
• Yield criteria
  • von Mises criterion (VonMisesRheology)
  • Drucker-Prager criterion (DruckerPragerRheology)
• Fragmentation physics
  • Scalar Grady-Kipp damage (ScalarGradyKippModel)
  • [incomplete] Tensor Grady-Kipp damage (TensorGradyKippModel)

Implemented SPH & N-body solvers & algorithms:

Incomplete list of solvers, algorithms, etc.:

• SPH solvers
  • Symmetric and asymmetric solver (SymmetricSolver, AsymmetricSolver)
  • Symmetric solver using direct density summation (SummationSolver)
  • Solver using compatibly differenced total energy conserving scheme (EnergyConservingSolver)
  • (A)symmetric solver including gravity (GravitySolver)
  • [incomplete] Density independent SPH formulation (DensityIndependentSolver)
  • [planned] Solver using entropy instead of energy as an independent variable (EntropySolver)
• N-body solvers
  • Simple hard-sphere N-body solver (NBodySolver)
  • [incomplete] Solver allowing particles to form aggregates (AggregateSolver)
• Gravity solvers
  • Direct O(N^2) summation (BruteForceGravity)
  • Tree code using multipole approximation (BarnesHut)
• Algorithms for finding neighbours (kNN queries)
  • Spatial grid (UniformGridFinder)
  • K-d tree (KdTree)
  • Hash map (HashMapFinder)
  • [incomplete] Octree (Octree)
• SPH kernels
  • B-spline kernels (CubicSpline, FourthOrderSpline)
  • Gaussian kernel (Gaussian)
  • Thomas & Couchman kernel (ThomasCouchmanKernel)
  • Core triangle kernel (CoreTriangle)
  • Wendland kernels (WendlandC2, WendlandC4, WendlandC6)
  • Gravitational smoothing kernel (GravityKernel)
• SPH modification
  • Adaptive smoothing length (AdaptiveSmoothingLength)
  • [incomplete] Grad-h terms (GradH)
  • [incomplete] XSPH modification (XSph)
• Boundary conditions
  • Ghost particles mirroring quantity values (GhostParticles)
  • Zeroing quantity derivatives near boundary (FrozenParticles)
  • Periodic boundary (PeriodicBoundary)
  • Symmetric (mirror) boundary (SymmetricBoundary)
  • Boundary removing escaped particles (KillEscapersBoundary)
  • Simulation of wind tunnel (WindTunnel)
• Initial distribution of particles
  • Cubic close packing (CubicPacking)
  • Hexagonal close packing (HexagonalPacking)
  • Isotropic low-discrepancy distribution (DiehlDistribution)
  • Parameterized spiraling distribution (ParameterizedSpiralingDistribution)

Implemented visualization tools

Incomplete list of auxiliary tools for visualizations of the simulation. See also Graphical interface of the code

• Surface reconstruction using marching cubes algorithm (MarchingCubes)
• Drawing of particles with color corresponding to selected quantity into wx window
• Visualization of surface using a simple shading
• Rendering of an implicit surface using ray marching (RayTracer)
• [incomplete] Rendering of surface into OpenGL window
• Interactive display of quantity values for selected particle