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 110 articles , 1 standard article )

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  1. Li, Zhilin; Qiao, Zhonghua; Tang, Tao: Numerical solution of differential equations. Introduction to finite difference and finite element methods (2018)
  2. Del Razo, M. J.; LeVeque, R. J.: Numerical methods for interface coupling of compressible and almost incompressible media (2017)
  3. Donna Calhoun, Carsten Burstedde: ForestClaw: A parallel algorithm for patch-based adaptive mesh refinement on a forest of quadtrees (2017) arXiv
  4. Hosseini, Bamdad; Stockie, John M.: Estimating airborne particulate emissions using a finite-volume forward solver coupled with a Bayesian inversion approach (2017)
  5. Kang, Wei; Wilcox, Lucas C.: Solving 1D conservation laws using Pontryagin’s minimum principle (2017)
  6. Kim, Eun Heui; Tsikkou, Charis: Two dimensional Riemann problems for the nonlinear wave system: rarefaction wave interactions (2017)
  7. Klingenberg, Christian; Schnücke, Gero; Xia, Yinhua: Arbitrary Lagrangian-Eulerian discontinuous Galerkin method for conservation laws: analysis and application in one dimension (2017)
  8. Vogl, Christopher J.; LeVeque, Randall J.: A high-resolution finite volume seismic model to generate seafloor deformation for tsunami modeling (2017)
  9. Ahmedov, Bahodir; Grepl, Martin A.; Herty, Michael: Certified reduced-order methods for optimal treatment planning (2016)
  10. Carlsson, John Gunnar; Carlsson, Erik; Devulapalli, Raghuveer: Shadow prices in territory division (2016)
  11. Del Razo, Mauricio J.; LeVeque, Randall J.: Computational study of shock waves propagating through air-plastic-water interfaces (2016)
  12. del Razo, M. J.; Morofuji, Y.; Meabon, J. S.; Huber, B. R.; Peskind, E. R.; Banks, W. A.; Mourad, P. D.; LeVeque, R. J.; Cook, D. G.: Computational and in vitro studies of blast-induced blood-brain barrier disruption (2016)
  13. Jang, Juhi; Kim, Eun Heui: Diffraction of a shock into an expansion wavefront for the transonic self-similar nonlinear wave system in two space dimensions (2016)
  14. Kim, Eun Heui: Transonic shock and rarefaction wave interactions of two-dimensional Riemann problems for the self-similar nonlinear wave system (2016)
  15. Otte, Philipp; Frank, Martin: Derivation and analysis of lattice Boltzmann schemes for the linearized Euler equations (2016)
  16. Ou, Miao-Jung Yvonne; Lemoine, Grady I.: Time-harmonic analytic solution for an acoustic plane wave scattering off an isotropic poroelastic cylinder: convergence and form function (2016)
  17. Pathak, Harshavardhana S.; Shukla, Ratnesh K.: Adaptive finite-volume WENO schemes on dynamically redistributed grids for compressible Euler equations (2016)
  18. Puppo, Gabriella; Semplice, Matteo: Well-balanced high order 1D schemes on non-uniform grids and entropy residuals (2016)
  19. Vogl, Chris J.: A curvature-augmented, REA approach to the level set method (2016)
  20. Kroshko, Andrew; Spiteri, Raymond J.: odeToJava: a PSE for the numerical solution of IVPS (2015)

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