## CLAWPACK

 swMATH ID: 1069 Software Authors: LeVeque, Randall J. Description: 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. Homepage: http://depts.washington.edu/clawpack/ Keywords: high resolution flux-limiter finite volume methods; two space dimensions; uniform rectangular grids Related Software: AMRCLAW; Pyclaw; HE-E1GODF; PyWENO; SharpClaw; GEOCLAW; Matlab; p4est; PETSc; GitHub; Python; PARAMESH; Chombo; WENOCLAW; HLLE; Julia; deal.ii; ForestClaw; MATLAB ODE suite; BBB_experiment Cited in: 138 Publications

### Standard Articles

1 Publication describing the Software, including 1 Publication in zbMATH Year
CLAWPACK – a software package for solving multi-dimensional conservation laws. Zbl 0918.35003
LeVeque, Randall J.
1996
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### Cited by 244 Authors

 29 LeVeque, Randall J. 7 Helzel, Christiane 7 Ketcheson, David I. 5 Shyue, Keh-Ming 4 Calhoun, Donna A. 4 Del Razo, Mauricio J. 4 Ha, Youngsoo 4 Kim, Eun Heui 3 De Luna, Manuel Quezada 3 Fazio, Riccardo 3 George, David L. 3 Mangeney, Anne 3 Pelanti, Marica 3 Rossmanith, James A. 3 Stockie, John M. 2 Berger, Marsha J. 2 Bouchut, François 2 Farjoun, Yossi 2 Ferreira, Valdemir Garcia 2 Fey, Michael 2 Gardner, Carl L. 2 Hoteit, Ibrahim 2 Jannelli, Alessandra 2 Knio, Omar M. 2 Le Maître, Olivier P. 2 Lemoine, Grady I. 2 Li, Zhilin 2 Lima, G. A. B. 2 Mandli, Kyle T. 2 Parsani, Matteo 2 Puppo, Gabriella 2 Ranocha, Hendrik 2 Seibold, Benjamin 2 Semplice, Matteo 2 Tang, Huazhong 2 Tang, Tao 2 Yong, Darryl H. 1 Ahmad, Nash’at N. 1 Ahmadia, Aron J. 1 Ahmedov, Bahodir B. 1 Alghamdi, Amal 1 Allgeyer, Sebastien 1 Ambrosi, Davide 1 Bader, Michael 1 Bale, Derek S. 1 Banks, W. A. 1 Batzorig, Begzsuren 1 Berezovski, Arkadi 1 Berezovski, Mihhail 1 Bertolazzi, Enrico 1 Borsche, Raul 1 Bristeau, Marie-Odile 1 Brodtkorb, André Rigland 1 Broström, Göran 1 Brunton, Steven L. 1 Budd, Christopher John 1 Candezano, Miguel A. C. 1 Carlsson, Erik 1 Carlsson, John Gunnar 1 Chaplain, Mark A. J. 1 Christensen, Kai Haakon 1 Christlieb, Andrew J. 1 Cirilo, Eliandro Rodrigues 1 Colombo, Rinaldo M. 1 Constantinescu, Emil M. 1 Cook, Derek G. 1 Cook, Stephen P. 1 Cortés, J. J. 1 Davis, Brisa N. 1 Davoodi, Noshin 1 De Sterck, Hans 1 de Sturler, Eric 1 Dedner, Andreas S. 1 Desbrun, Mathieu 1 Devulapalli, Raghuveer 1 Digruber, M. 1 Dubey, Ritesh Kumar 1 Dumbser, Michael 1 Durant, L. 1 Eldred, Michael S. 1 Emmett, Matthew 1 Fambri, Francesco 1 Feng, Xingya 1 Flores, G. González 1 Fogarty, Tiernan 1 Fogelson, Aaron L. 1 Franchello, Giovanni 1 Frank, Martin 1 Fréret, Lucie 1 Fried, Eliot 1 Froger, David 1 Garavello, Mauro 1 Gelb, Anne 1 George, Jithin D. 1 Geraci, Gianluca 1 Gerisch, Alf 1 Giraldi, Loïc 1 Giuliani, Andrew 1 Gorodetsky, Alex A. 1 Gremaud, Pierre-Alain ...and 144 more Authors
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### Cited in 47 Serials

 36 Journal of Computational Physics 13 SIAM Journal on Scientific Computing 9 Journal of Scientific Computing 4 International Journal for Numerical Methods in Fluids 4 Mathematical and Computer Modelling 3 Computers and Fluids 3 Computers & Mathematics with Applications 3 Wave Motion 3 Communications in Computational Physics 2 Computer Methods in Applied Mechanics and Engineering 2 Journal of Mathematical Biology 2 ACM Transactions on Mathematical Software 2 Journal of Computational and Applied Mathematics 2 Journal of Differential Equations 2 SIAM Journal on Numerical Analysis 2 Studies in Applied Mathematics 2 Communications in Nonlinear Science and Numerical Simulation 2 Computational Geosciences 2 Bulletin of the Brazilian Mathematical Society. New Series 2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 2 Communications on Applied Mathematics and Computation 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical Analysis and Applications 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 International Journal for Numerical Methods in Engineering 1 Applied Numerical Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Linear Algebra and its Applications 1 SIAM Journal on Applied Mathematics 1 SIAM Review 1 Archive of Applied Mechanics 1 Discrete and Continuous Dynamical Systems 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Combustion Theory and Modelling 1 Foundations of Computational Mathematics 1 Multiscale Modeling & Simulation 1 Journal of Computational Acoustics 1 Networks and Spatial Economics 1 Mathematical Biosciences and Engineering 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Numerical Algebra, Control and Optimization 1 Journal of the Korean Society for Industrial and Applied Mathematics 1 ISRN Applied Mathematics 1 Axioms 1 Fundamentals of Algorithms 1 SN Partial Differential Equations and Applications
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### Cited in 21 Fields

 81 Numerical analysis (65-XX) 78 Fluid mechanics (76-XX) 63 Partial differential equations (35-XX) 10 Mechanics of deformable solids (74-XX) 10 Geophysics (86-XX) 10 Biology and other natural sciences (92-XX) 4 Ordinary differential equations (34-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistical mechanics, structure of matter (82-XX) 3 Operations research, mathematical programming (90-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Statistics (62-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Astronomy and astrophysics (85-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Probability theory and stochastic processes (60-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)