Add all the other typically used smoothing kernels for SPH (#237)

* add gaussian kernels

* add all the other ones

* format

* fix

* format

* fixes

* fix

* add testcase and fix wendlandc4

* format

* add QuadGK

* update

* format

* Fix tests

* review

* format

* [skip ci] add information regarding smoothing L

* fix docs

* code review

* [skip ci] fix table

* [skip ci] change table

* revert change

* [skip ci]

* [skip ci] review

examples/fluid/dam_break_2d.jl

@@ -13,7 +13,7 @@ using OrdinaryDiffEq
 fluid_particle_spacing = 0.02
 
 # Change spacing ratio to 3 and boundary layers to 1 when using Monaghan-Kajtar boundary model
-boundary_layers = 3
+boundary_layers = 4
 spacing_ratio = 1
 
 boundary_particle_spacing = fluid_particle_spacing / spacing_ratio
@@ -39,8 +39,8 @@ tank = RectangularTank(fluid_particle_spacing, initial_fluid_size, tank_size, fl
 
 # ==========================================================================================
 # ==== Fluid
-smoothing_length = 1.2 * fluid_particle_spacing
-smoothing_kernel = SchoenbergCubicSplineKernel{2}()
+smoothing_length = 3.0 * fluid_particle_spacing
+smoothing_kernel = WendlandC2Kernel{2}()
 
 fluid_density_calculator = ContinuityDensity()
 viscosity = ArtificialViscosityMonaghan(alpha=0.02, beta=0.0)

src/TrixiParticles.jl

@@ -41,7 +41,8 @@ export InfoCallback, SolutionSavingCallback, DensityReinitializationCallback
 export ContinuityDensity, SummationDensity
 export PenaltyForceGanzenmueller
 export SchoenbergCubicSplineKernel, SchoenbergQuarticSplineKernel,
-       SchoenbergQuinticSplineKernel
+       SchoenbergQuinticSplineKernel, GaussianKernel, WendlandC2Kernel, WendlandC4Kernel,
+       WendlandC6Kernel, SpikyKernel, Poly6Kernel
 export StateEquationIdealGas, StateEquationCole
 export ArtificialViscosityMonaghan, ViscosityAdami
 export BoundaryModelMonaghanKajtar, BoundaryModelDummyParticles, AdamiPressureExtrapolation,