AMReX#

AMReX is a software framework designed to accelerate scientific discovery for applications solving partial differential equations on block-structured meshes. Its massively parallel adaptive mesh refinement (AMR) algorithms focus computational resources and allow scalable performance on heterogeneous architectures so that scientists can efficiently resolve details in large simulations.

MPI-AMRVAC#

MPI-AMRVAC is a parallel adaptive mesh refinement framework aimed at solving (primarily hyperbolic) partial differential equations by a number of different numerical schemes. The emphasis is on (near) conservation laws and on shock-dominated problems in particular. A number of physics modules are included; the hydrodynamics and the magnetohydrodynamics module are most frequently used. Users can add their own physics module or modify existing ones. The framework supports 1D to 3D simulations, in a number of different geometries (Cartesian, cylindrical, spherical).

SAMRAI#

SAMRAI (Structured Adaptive Mesh Refinement Application Infrastructure) is an object-oriented C++ software library that enables exploration of numerical, algorithmic, parallel computing, and software issues associated with applying structured adaptive mesh refinement (SAMR) technology in large-scale parallel application development. SAMRAI provides software tools for developing SAMR applications that involve coupled physics models, sophisticated numerical solution methods, and which require high-performance parallel computing hardware. SAMRAI enables integration of SAMR technology into existing codes and simplifies the exploration of SAMR methods in new application domains.

Uintah#

Asynchronous Many Task Framework for set of libraries and applications for simulating and analyzing complex chemical and physical reactions modeled by partial differential equations on structured adaptive grids using hundreds to hundreds of thousands of processors.

Parthenon#

Parthenon — a performance portable block-structured adaptive mesh refinement framework

p4est#

p4est is a C library to manage a collection (a forest) of multiple connected adaptive quadtrees or octrees in parallel.

Chombo (Not actively maintained)#

Chombo provides a set of tools for implementing finite difference and finite volume methods for the solution of partial differential equations on block-structured adaptively refined rectangular grids. Both elliptic and time-dependent modules are included. Chombo supports calculations in complex geometries with both embedded boundaries and mapped grids, and Chombo also supports particle methods. Most parallel platforms are supported, and cross-platform self-describing file formats are included.

Chombo - Software for Adaptive Solutions of Partial Differential Equations - Chombo - Berkeley Lab Commons

Clawpack#

Clawpack is a collection of finite volume methods for linear and nonlinear hyperbolic systems of conservation laws. Clawpack employs high-resolution Godunov-type methods with limiters in a general framework applicable to many kinds of waves. Clawpack is written in Fortran and Python.

Clawpack documentation — Clawpack 5.11.x documentation

Trixi.jl#

Trixi.jl is a numerical simulation framework for conservation laws written in Julia.

AMReX Tutorials#

• [2404.02950] Sledgehamr: Simulating Scalar Fields with Adaptive Mesh Refinement
• AMReX: Building a Block-Structured AMR Application ǀ Ann Almgren and DonaldWillcox, LBNL - YouTube
• AMReX - YouTube
• Adaptive Mesh Refinement: Algorithms and Applications - YouTube ATPESC 2022 5.2a Structured Meshes with AMReX | Ann Almgren, Erik Palmer - YouTube
  • ATPESC 2022 5.2a Structured Meshes with AMReX | Ann Almgren, Erik Palmer - YouTube
    • Meshing and Discretization with AMReX
    • GitHub - xsdk-project/xsdk-examples: Example codes demonstrating the use of various XSDK packages in combination.
  • ATPESC 2022 5.2b Unstructured Meshes with MFEM/PUMI | A. Fisher, M. Shephard, C. Smith - YouTube
  • ATPESC 2022 5.3a Iterative Solvers & Algebraic Multigrid Trilinos/Belos/MueLu | C. Glusa, G. Harper - YouTube
  • ATPESC 2022 5.3b Direct Solvers with SuperLU STRUMPACK | Sherry Li, Pieter Ghysels - YouTube
  • ATPESC 2022 5.4a Nonlinear Solvers with PETSc | Richard Tran Mills - YouTube

AMReX Examples#

• MSABuschmann/sledgehamr: Sledgehamr is an AMReX-based code package to simulate the dynamics of coupled scalar fields on a 3-dimensional adaptive mesh.
• EinsteinToolkit/CarpetX: CarpetX is a Cactus driver for the Einstein Toolkit based on AMReX
• GitHub - AMReX-Astro/Castro: Castro (Compressible Astrophysics): An adaptive mesh, astrophysical compressible (radiation-, magneto-) hydrodynamics simulation code for massively parallel CPU and GPU architectures.
• GitHub - Exawind/amr-wind: AMReX-based structured wind solver
• GitHub - ECP-WarpX/WarpX: WarpX is an advanced, time-based electromagnetic & electrostatic Particle-In-Cell code.
• GitHub - GRTLCollaboration/GRTeclyn: Port of GRChombo to AMReX - under development!
• GitHub - AMReX-Astro/STvAR: Space-Time Variable Code Generator and Solver
  • [2301.08354] Code generation for AMReX with applications to numerical relativity
• [2210.17509] GRaM-X: A new GPU-accelerated dynamical spacetime GRMHD code for Exascale computing with the Einstein Toolkit