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:

References in zbMATH (referenced in 84 articles , 1 standard article )

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  1. Liu, Cheng; Hu, Changhong: An adaptive multi-moment FVM approach for incompressible flows (2018)
  2. Schornbaum, Florian; Rüde, Ulrich: Extreme-scale block-structured adaptive mesh refinement (2018)
  3. Zuzio, Davide; Estivalèzes, Jean-Luc; DiPierro, Bastien: An improved multiscale Eulerian-Lagrangian method for simulation of atomization process (2018)
  4. 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)
  5. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  6. 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)
  7. Jannis Teunissen, Ute Ebert: Afivo: a framework for quadtree/octree AMR with shared-memory parallelization and geometric multigrid methods (2017) arXiv
  8. Liu, Cheng; Hu, Changhong: Adaptive THINC-GFM for compressible multi-medium flows (2017)
  9. Zhou, Ye: Rayleigh-Taylor and Richtmyer-Meshkov instability induced flow, turbulence, and mixing. I (2017)
  10. Angelidis, Dionysios; Chawdhary, Saurabh; Sotiropoulos, Fotis: Unstructured Cartesian refinement with sharp interface immersed boundary method for 3D unsteady incompressible flows (2016)
  11. 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)
  12. Fakhari, Abbas; Geier, Martin; Lee, Taehun: A mass-conserving lattice Boltzmann method with dynamic grid refinement for immiscible two-phase flows (2016)
  13. Hatori, Tomoharu; Ito, Atsushi M.; Nunami, Masanori; Usui, Hideyuki; Miura, Hideaki: Level-by-level artificial viscosity and visualization for MHD simulation with adaptive mesh refinement (2016)
  14. Houim, Ryan W.; Oran, Elaine S.: A multiphase model for compressible granular-gaseous flows: formulation and initial tests (2016)
  15. Attal, N.; Ramaprabhu, P.; Hossain, J.; Karkhanis, V.; Uddin, M.; Gord, J. R.; Roy, S.: Development and validation of a chemical reaction solver coupled to the FLASH code for combustion applications (2015)
  16. Bollada, P. C.; Goodyer, C. E.; Jimack, P. K.; Mullis, A. M.; Yang, F. W.: Three dimensional thermal-solute phase field simulation of binary alloy solidification (2015)
  17. Guo, Xixiong; Yao, Jieke; Zhong, Chengwen; Cao, Jun: A hybrid adaptive-gridding immersed-boundary lattice Boltzmann method for viscous flow simulations (2015)
  18. Han, L. H.; Hu, X. Y.; Adams, N. A.: Scale separation for multi-scale modeling of free-surface and two-phase flows with the conservative sharp interface method (2015)
  19. Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar: Recursive algorithms for distributed forests of octrees (2015)
  20. Ji, Hua; Lien, Fue-Sang; Zhang, Fan: A GPU-accelerated adaptive mesh refinement for immersed boundary methods (2015)

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