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. Borisov, V. E.; Yakush, S. E.; Sysoeva, E. Ya.: Numerical simulation of cellular flame propagation in narrow gaps (2022)
  2. Freret, Lucie; Williamschen, Michael; Groth, Clinton P. T.: Enhanced anisotropic block-based adaptive mesh refinement for three-dimensional inviscid and viscous compressible flows (2022)
  3. Hedayat, Mohammadali; Akbarzadeh, Amir M.; Borazjani, Iman: A parallel dynamic overset grid framework for immersed boundary methods (2022)
  4. Li, Gaohua; Wang, Fuxin: A multiple instance solver framework based on dynamic overset grid method for flow field simulation of array configuration with moving components (2022)
  5. Liu, Zhengliang; Tian, Fang-Bao; Feng, Xingya: An efficient geometry-adaptive mesh refinement framework and its application in the immersed boundary lattice Boltzmann method (2022)
  6. Yu, Ke; Dorschner, Benedikt; Colonius, Tim: Multi-resolution lattice Green’s function method for incompressible flows (2022)
  7. Zandsalimy, Mohammad; Ollivier-Gooch, Carl: A novel approach to mesh optimization to stabilize unstructured finite volume simulations (2022)
  8. Boustani, Jonathan; Barad, Michael F.; Kiris, Cetin C.; Brehm, Christoph: An immersed boundary fluid-structure interaction method for thin, highly compliant shell structures (2021)
  9. Lyubimova, Tatyana; Ivantsov, Andrey; Lyubimov, Dmitry: Control of fingering instability by vibrations (2021)
  10. de Souza Lourenço, Marcos Antonio; Martínez Padilla, Elie Luis: An octree structured finite volume based solver (2020)
  11. James M. Stone, Kengo Tomida, Christopher J. White, Kyle G. Felker: The Athena++ Adaptive Mesh Refinement Framework: Design and Magnetohydrodynamic Solvers (2020) arXiv
  12. 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)
  13. 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)
  14. Freret, L.; Ivan, L.; De Sterck, H.; Groth, C. P. T.: High-order finite-volume method with block-based AMR for magnetohydrodynamics flows (2019)
  15. Giuliani, Andrew; Krivodonova, Lilia: Adaptive mesh refinement on graphics processing units for applications in gas dynamics (2019)
  16. Liu, Cheng; Hu, Changhong: An adaptive high order WENO solver for conservation laws (2019)
  17. Schmidmayer, Kevin; Petitpas, Fabien; Daniel, Eric: Adaptive mesh refinement algorithm based on dual trees for cells and faces for multiphase compressible flows (2019)
  18. Derigs, Dominik; Gassner, Gregor J.; Walch, Stefanie; Winters, Andrew R.: Entropy stable finite volume approximations for ideal magnetohydrodynamics (2018)
  19. Liu, Cheng; Hu, Changhong: An adaptive multi-moment FVM approach for incompressible flows (2018)
  20. Schornbaum, Florian; Rüde, Ulrich: Extreme-scale block-structured adaptive mesh refinement (2018)

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