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 67 articles , 1 standard article )

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  1. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  2. Deiterding, Ralf; Domingues, Margarete O.; Gomes, S^onia M.; Schneider, Kai: Comparison of adaptive multiresolution and adaptive mesh refinement applied to simulations of the compressible Euler equations (2016)
  3. Fakhari, Abbas; Geier, Martin; Lee, Taehun: A mass-conserving lattice Boltzmann method with dynamic grid refinement for immiscible two-phase flows (2016)
  4. 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)
  5. 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)
  6. 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)
  7. Isaac, Tobin; Burstedde, Carsten; Wilcox, Lucas C.; Ghattas, Omar: Recursive algorithms for distributed forests of octrees (2015)
  8. Mongwane, Bishop: Toward a consistent framework for high order mesh refinement schemes in numerical relativity (2015)
  9. Nissen, Anna; Kormann, Katharina; Grandin, Magnus; Virta, Kristoffer: Stable difference methods for block-oriented adaptive grids (2015)
  10. Sætra, Martin L.; Brodtkorb, André R.; Lie, Knut-Andreas: Efficient GPU-implementation of adaptive mesh refinement for the shallow-water equations (2015)
  11. Han, L.H.; Hu, X.Y.; Adams, N.A.: Adaptive multi-resolution method for compressible multi-phase flows with sharp interface model and pyramid data structure (2014)
  12. Ovadia, Jeremy; Nie, Qing: Numerical methods for two-dimensional stem cell tissue growth (2014)
  13. Paolucci, Samuel; Zikoski, Zachary J.; Grenga, Temistocle: WAMR: an adaptive wavelet method for the simulation of compressible reacting flow. Part II: The parallel algorithm (2014)
  14. Pletzer, Alexander; Jamroz, Ben; Crockett, Robert; Sides, Scott: Compact cell-centered discretization stencils at fine-coarse block structured grid interfaces (2014)
  15. Brehm, C.; Fasel, H.F.: A novel concept for the design of immersed interface methods (2013)
  16. Raghavan, Hari K.; Vadhiyar, Sathish S.: Efficient asynchronous executions of AMR computations and visualization on a GPU system (2013)
  17. Sui, Y.; Spelt, Peter D.M.: An efficient computational model for macroscale simulations of moving contact lines (2013)
  18. Jiang, Chaowei; Cui, Shuxin; Feng, Xueshang: Solving the Euler and Navier-Stokes equations by the AMR-CESE method (2012)
  19. Ji, Hua; Lien, Fue-Sang; Yee, Eugene: Parallel adaptive mesh refinement combined with additive multigrid for the efficient solution of the Poisson equation (2012)
  20. Keppens, R.; Meliani, Z.; Van Marle, A.J.; Delmont, P.; Vlasis, A.; van der Holst, B.: Parallel, grid-adaptive approaches for relativistic hydro and magnetohydrodynamics (2012)

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