CLAWPACK

Clawpack stands for “Conservation Laws Package” and was initially developed for linear and nonlinear hyperbolic systems of conservation laws, with a focus on implementing high-resolution Godunov type methods using limiters in a general framework applicable to many applications. These finite volume methods require a “Riemann solver” to resolve the jump discontinuity at the interface between two grid cells into waves propagating into the neighboring cells. Adaptive mesh refinement is included, see amrclaw. Recent extensions allow the solution of hyperbolic problems that are not in conservation form. We are actively working on extensions to parabolic equations as well. The “wave propagation” algorithms implemented in Clawpack are discribed in detail in the book Finite Volume Methods for Hyperbolic Problems Virtually all of the figures in this book were generated using Clawpack and the source code for each can be found in CLAW/book. See Examples from the book FVMHP for a list of available examples with pointers to the codes and resulting plots.


References in zbMATH (referenced in 112 articles , 1 standard article )

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  1. LeVeque, Randall J.: A well-balanced path-integral f-wave method for hyperbolic problems with source terms (2011)
  2. Mullen, P.; McKenzie, A.; Pavlov, D.; Durant, L.; Tong, Y.; Kanso, E.; Marsden, J. E.; Desbrun, M.: Discrete Lie advection of differential forms (2011)
  3. Pelanti, Marica; Bouchut, François; Mangeney, Anne: A Riemann solver for single-phase and two-phase shallow flow models based on relaxation. Relations with Roe and VFRoe solvers (2011)
  4. Puppo, Gabriella; Semplice, Matteo: Numerical entropy and adaptivity for finite volume schemes (2011)
  5. Shen, Chaopeng; Qiu, Jing-Mei; Christlieb, Andrew: Adaptive mesh refinement based on high order finite difference WENO scheme for multi-scale simulations (2011)
  6. Constantinescu, Emil M.; Sandu, Adrian: Optimal explicit strong-stability-preserving general linear methods (2010)
  7. Fazio, Riccardo; Russo, Giovanni: Central schemes and second order boundary conditions for 1D interface and piston problems in Lagrangian coordinates (2010)
  8. Franchello, Giovanni: Shoreline tracking and implicit source terms for a well balanced inundation model (2010)
  9. Shyue, Keh-Ming: A high-resolution mapped grid algorithm for compressible multiphase flow problems (2010)
  10. Calhoun, Donna A.; Helzel, Christiane: A finite volume method for solving parabolic equations on logically Cartesian curved surface meshes (2009)
  11. Farjoun, Yossi; Seibold, Benjamin: An exactly conservative particle method for one dimensional scalar conservation laws (2009)
  12. Wang, Shun; de Sturler, Eric: Multilevel sparse approximate inverse preconditioners for adaptive mesh refinement (2009)
  13. Calhoun, Donna A.; Helzel, Christiane; LeVeque, Randall J.: Logically rectangular grids and finite volume methods for PDEs in circular and spherical domains (2008)
  14. Farjoun, Yossi; Seibold, Benjamin: Solving one dimensional scalar conservation laws by particle management (2008)
  15. Ha, Youngsoo; Gardner, Carl L.: Positive scheme numerical simulation of high Mach number astrophysical jets (2008)
  16. Krejić, Nataša; Krunić, Tanja; Nedeljkov, Marko: Numerical verification of delta shock waves for pressureless gas dynamics (2008)
  17. Pelanti, Marica; Bouchut, François; Mangeney, Anne: A Roe-type scheme for two-phase shallow granular flows over variable topography (2008)
  18. Rutka, Vita; Li, Zhilin: An explicit jump immersed interface method for two-phase Navier-Stokes equations with interfaces (2008)
  19. Ahmad, Nash’at; Lindeman, John: Euler solutions using flux-based wave decomposition (2007)
  20. Bertolazzi, Enrico; Manzini, Gianmarco: Computer modeling of liquid-solid impacts (2007)