MPI-AMRVAC swMATH ID: 16761 Software Authors: Keppens, Rony; Teunissen, Jannis; Xia, Chun; Porth, Oliver Description: MPI-AMRVAC: a parallel, grid-adaptive PDE toolkit. We report on the latest additions to our open-source, block-grid adaptive framework MPI-AMRVAC, which is a general toolkit for especially hyperbolic/parabolic partial differential equations (PDEs). Applications traditionally focused on shock-dominated, magnetized plasma dynamics described by either Newtonian or special relativistic (magneto)hydrodynamics, but its versatile design easily extends to different PDE systems. Here, we demonstrate applications covering any-dimensional scalar to system PDEs, with e.g. Korteweg–de Vries solutions generalizing early findings on soliton behavior, shallow water applications in round or square pools, hydrodynamic convergence tests as well as challenging computational fluid and plasma dynamics applications. The recent addition of a parallel multigrid solver opens up new avenues where also elliptic constraints or stiff source terms play a central role. This is illustrated here by solving several multi-dimensional reaction–diffusion-type equations. We document the minimal requirements for adding a new physics module governed by any nonlinear PDE system, such that it can directly benefit from the code flexibility in combining various temporal and spatial discretization schemes. Distributed through GitHub, MPI-AMRVAC can be used to perform 1D, 1.5D, 2D, 2.5D or 3D simulations in Cartesian, cylindrical or spherical coordinate systems, using parallel domain-decomposition, or exploiting fully dynamic block quadtree-octree grids. Homepage: https://www.sciencedirect.com/science/article/abs/pii/S0898122120301279 Keywords: adaptive mesh refinement; (magneto)hydrodynamics; PDEs Related Software: VAC; LASY; Gasoline; RAMSES; FLASH; Pluto; Athena; HLLE; NIRVANA Cited in: 1 Publication Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year MPI-AMRVAC: a parallel, grid-adaptive PDE toolkit. Zbl 07288716Keppens, Rony; Teunissen, Jannis; Xia, Chun; Porth, Oliver 2021 Cited by 4 Authors 1 Keppens, Rony 1 Porth, Oliver 1 Teunissen, Jannis 1 Xia, Chun Cited in 1 Serial 1 Computers & Mathematics with Applications Cited in 2 Fields 1 Numerical analysis (65-XX) 1 Fluid mechanics (76-XX) Citations by Year