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 125 articles , 1 standard article )

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  1. Berezovski, Mihhail; Berezovski, Arkadi: Discontinuity-driven mesh alignment for evolving discontinuities in elastic solids (2020)
  2. Ketcheson, David I.; LeVeque, Randall J.; del Razo, Mauricio J.: Riemann problems and Jupyter solutions (2020)
  3. Offermans, N.; Peplinski, A.; Marin, O.; Schlatter, P.: Adaptive mesh refinement for steady flows in Nek5000 (2020)
  4. Yang, Zhao; Zumbrun, Kevin: Stability of hydraulic shock profiles (2020)
  5. Allgeyer, Sebastien; Bristeau, Marie-Odile; Froger, David; Hamouda, Raouf; Jauzein, V.; Mangeney, Anne; Sainte-Marie, Jacques; Souillé, Fabien; Valée, Martin: Numerical approximation of the 3D hydrostatic Navier-Stokes system with free surface (2019)
  6. Freret, L.; Ivan, L.; De Sterck, H.; Groth, C. P. T.: High-order finite-volume method with block-based AMR for magnetohydrodynamics flows (2019)
  7. George, Jithin D.; Ketcheson, David I.; LeVeque, Randall J.: A path-integral method for solution of the wave equation with continuously varying coefficients (2019)
  8. Siripatana, A.; Giraldi, L.; Le Maître, O. P.; Knio, O. M.; Hoteit, I.: Combining ensemble Kalman filter and multiresolution analysis for efficient assimilation into adaptive mesh models (2019)
  9. Dumbser, Michael; Fambri, Francesco; Tavelli, Maurizio; Bader, Michael; Weinzierl, Tobias: Efficient implementation of ADER discontinuous Galerkin schemes for a scalable hyperbolic PDE engine (2018)
  10. Li, Zhilin; Qiao, Zhonghua; Tang, Tao: Numerical solution of differential equations. Introduction to finite difference and finite element methods (2018)
  11. Maltba, Tyler; Gremaud, Pierre A.; Tartakovsky, Daniel M.: Nonlocal PDF methods for Langevin equations with colored noise (2018)
  12. Navarro, Maria; Le Maître, Olivier P.; Hoteit, Ibrahim; George, David L.; Mandli, Kyle T.; Knio, Omar M.: Surrogate-based parameter inference in debris flow model (2018)
  13. Del Razo, M. J.; LeVeque, R. J.: Numerical methods for interface coupling of compressible and almost incompressible media (2017)
  14. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  15. Hosseini, Bamdad; Stockie, John M.: Estimating airborne particulate emissions using a finite-volume forward solver coupled with a Bayesian inversion approach (2017)
  16. Kang, Wei; Wilcox, Lucas C.: Solving 1D conservation laws using Pontryagin’s minimum principle (2017)
  17. Kim, Eun Heui; Tsikkou, Charis: Two dimensional Riemann problems for the nonlinear wave system: rarefaction wave interactions (2017)
  18. Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua: Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension (2017)
  19. Vogl, Christopher J.; LeVeque, Randall J.: A high-resolution finite volume seismic model to generate seafloor deformation for tsunami modeling (2017)
  20. Ahmedov, Bahodir; Grepl, Martin A.; Herty, Michael: Certified reduced-order methods for optimal treatment planning (2016)

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