PARAMESH: A parallel adaptive mesh refinement community toolkit. In this paper we describe a community toolkit which is designed to provide parallel support with adaptive mesh capability for a large and important class of computational models, those using structured, logically Cartesian meshes. The package of Fortran 90 subroutines, called PARAMESH, is designed to provide an application developer with an easy route to extend an existing serial code which uses a logically Cartesian structured mesh into a parallel code with adaptive mesh refinement. Alternatively, in its simplest use, and with minimal effort, it can operate as a domain decomposition tool for users who want to parallelize their serial codes, but who do not wish to use adaptivity. The package can provide them with an incremental evolutionary path for their code, converting it first to uniformly refined parallel code, and then later if they so desire, adding adaptivity. (Source:

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  1. de Souza Lourenço, Marcos Antonio; Martínez Padilla, Elie Luis: An octree structured finite volume based solver (2020)
  2. Monteiro, H. A. S.; Novelli, L.; Fonseca, G. M.; Pitangueira, R. L. S.; Barros, F. B.: A new approach for physically nonlinear analysis of continuum damage mechanics problems using the generalized/extended finite element method with global-local enrichment (2020)
  3. Browne, Oliver M. F.; Haas, Anthony P.; Fasel, Herman F.; Brehm, Christoph: An efficient linear wavepacket tracking method for hypersonic boundary-layer stability prediction (2019)
  4. Freret, L.; Ivan, L.; De Sterck, H.; Groth, C. P. T.: High-order finite-volume method with block-based AMR for magnetohydrodynamics flows (2019)
  5. Giuliani, Andrew; Krivodonova, Lilia: Adaptive mesh refinement on graphics processing units for applications in gas dynamics (2019)
  6. Schmidmayer, Kevin; Petitpas, Fabien; Daniel, Eric: Adaptive mesh refinement algorithm based on dual trees for cells and faces for multiphase compressible flows (2019)
  7. Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie; Winters, Andrew R.: Entropy stable finite volume approximations for ideal magnetohydrodynamics (2018)
  8. Liu, Cheng; Hu, Changhong: An adaptive multi-moment FVM approach for incompressible flows (2018)
  9. Schornbaum, Florian; Rüde, Ulrich: Extreme-scale block-structured adaptive mesh refinement (2018)
  10. Xu, Lincheng; Tian, Fang-Bao; Young, John; Lai, Joseph C. S.: A novel geometry-adaptive Cartesian grid based immersed boundary-lattice Boltzmann method for fluid-structure interactions at moderate and high Reynolds numbers (2018)
  11. Zuzio, Davide; Estivalèzes, Jean-Luc; DiPierro, Bastien: An improved multiscale Eulerian-Lagrangian method for simulation of atomization process (2018)
  12. Descombes, Stéphane; Duarte, Max; Dumont, Thierry; Guillet, Thomas; Louvet, Violaine; Massot, Marc: Task-based adaptive multiresolution for time-space multi-scale reaction-diffusion systems on multi-core architectures (2017)
  13. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  14. Fakhari, Abbas; Bolster, Diogo; Luo, Li-Shi: A weighted multiple-relaxation-time lattice Boltzmann method for multiphase flows and its application to partial coalescence cascades (2017)
  15. Jannis Teunissen, Ute Ebert: Afivo: a framework for quadtree/octree AMR with shared-memory parallelization and geometric multigrid methods (2017) arXiv
  16. Liu, Cheng; Hu, Changhong: Adaptive THINC-GFM for compressible multi-medium flows (2017)
  17. Zhou, Ye: Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I (2017)
  18. Angelidis, Dionysios; Chawdhary, Saurabh; Sotiropoulos, Fotis: Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows (2016)
  19. Deiterding, Ralf; Domingues, Margarete O.; Gomes, Sônia M.; Schneider, Kai: Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations (2016)
  20. Derigs, Dominik; Winters, Andrew R.; Gassner, Gregor J.; Walch, Stefanie: A novel high-order, entropy stable, 3D AMR MHD solver with guaranteed positive pressure (2016)

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