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.

Recent changes

Please look up the list of recent changes

Accompanying packages

• 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.

VoronoiFVM.jl and most of these packages are part of the meta package PDELib.jl.

Some alternatives

• ExtendableFEM.jl: finite element library implementing gradient robust FEM from the same package base by Ch. Merdon
• SkeelBerzins.jl: a Julian variation on Matlab's pdepe API
• 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
• FiniteVolumeMethod.jl Finite volumes with Donald boxes

Some projects and packages using VoronoiFVM.jl

• RfbScFVM: Performance prediction of flow battery vells
• ChargeTransport.jl: Drift diffusion simulator for semiconductor devices
• MosLab.jl: From semiconductor to transistor level modeling in Julia
• LiquidElectrolytes.jl: Generalized Nernst-Planck-Poisson model for liquid electrolytes

Citation

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