lucylow / voronoifvm.jl

Solution of nonlinear multiphysics partial differential equation systems using the Voronoi finite volume method

VoronoiFVM.jl

Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and DiffResults.jl to evaluate user functions along with their jacobians and calculate derivatives of solutions with respect to their parameters.

Accompanying packages

• VoronoiFVMDiffEq.jl: Glue package for using VoronoiFVM with DifferentialEquations.jl
• ExtendableSparse.jl: convenient and efficient sparse matrix assembly
• ExtendableGrids.jl: unstructured grid management library
• SimplexGridFactory.jl: unified high level mesh generator interface
• Triangulate.jl: Julia wrapper for the Triangle triangle mesh generator by J. Shewchuk
• TetGen.jl: Julia wrapper for the TetGen tetrahedral mesh generator by H. Si.
• GridVisualize.jl: grid and function visualization related to ExtendableGrids.jl
• PlutoVista.jl: backend for GridVisualize.jl for use in Pluto notebooks.

Some alternatives

• GradientRobustMultiPhysics.jl: finite element library implementing gradient robust FEM from the same package base by Ch. Merdon
• Trixi.jl: numerical simulation framework for hyperbolic conservation laws
• GridAP.jl Grid-based approximation of partial differential equations in Julia
• Ferrite.jl Finite element toolbox for Julia
• FinEtools.jl Finite element tools for Julia

Changes

If you use this package in your work, please cite it according to CITATION.bib