SharpClaw is a library of Fortran routines designed to solve hyperbolic systems of PDEs with arbitrarily high order accuracy. The numerical method used to solve these equations is described in David Ketcheson’s Ph.D. thesis. To solve a particular hyperbolic system, SharpClaw requires only that the user provide a Riemann solver. The Riemann solver should be written in the same format as that used in Randy LeVeque’s Clawpack sofware (available at Like Clawpack, SharpClaw is based on a wave propagation approach: the Riemann solver does not need to provide fluxes, but only the waves and their speeds.

References in zbMATH (referenced in 22 articles )

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  1. Gavrilyuk, Sergey; Nkonga, Boniface; Shyue, Keh-Ming; Truskinovsky, Lev: Stationary shock-like transition fronts in dispersive systems (2020)
  2. Xu, Yuan; Shu, Chi-Wang; Zhang, Qiang: Error estimate of the fourth-order Runge-Kutta discontinuous Galerkin methods for linear hyperbolic equations (2020)
  3. Bhole, Ashish; Nkonga, Boniface; Gavrilyuk, Sergey; Ivanova, Kseniya: Fluctuation splitting Riemann solver for a non-conservative modeling of shear shallow water flow (2019)
  4. Cravero, I.; Puppo, G.; Semplice, M.; Visconti, G.: CWENO: uniformly accurate reconstructions for balance laws (2018)
  5. Deng, Xi; Inaba, Satoshi; Xie, Bin; Shyue, Keh-Ming; Xiao, Feng: High fidelity discontinuity-resolving reconstruction for compressible multiphase flows with moving interfaces (2018)
  6. Deng, Xi; Xie, Bin; Loubère, Raphaël; Shimizu, Yuya; Xiao, Feng: Limiter-free discontinuity-capturing scheme for compressible gas dynamics with reactive fronts (2018)
  7. Alemi Ardakani, Hamid: Adaptation of f-wave finite volume methods to the Boonkasame-Milewski non-Boussinesq two-layer shallow interfacial sloshing equations coupled to the vessel motion (2016)
  8. Alemi Ardakani, H.; Bridges, T. J.; Turner, M. R.: Adaptation of f-wave finite volume methods to the two-layer shallow-water equations in a moving vessel with a rigid-lid (2016)
  9. Hadjimichael, Yiannis; Ketcheson, David I.; Lóczi, Lajos; Németh, Adrián: Strong stability preserving explicit linear multistep methods with variable step size (2016)
  10. Lemoine, Grady I.: Three-dimensional mapped-grid finite volume modeling of poroelastic-fluid wave propagation (2016)
  11. Li, Jibin; Chen, Fengjuan: Bifurcations of traveling wave solutions of a nonlinear wave model created by diffraction in periodic media (2016)
  12. Majidi, Sahand; Afshari, Asghar: An adaptive interface sharpening methodology for compressible multiphase flows (2016)
  13. Michoski, C.; Dawson, C.; Kubatko, E. J.; Wirasaet, D.; Brus, S.; Westerink, J. J.: A comparison of artificial viscosity, limiters, and filters, for high order discontinuous Galerkin solutions in nonlinear settings (2016)
  14. Semplice, M.; Coco, A.; Russo, G.: Adaptive mesh refinement for hyperbolic systems based on third-order compact WENO reconstruction (2016)
  15. Kroshko, Andrew; Spiteri, Raymond J.: odeToJava: a PSE for the numerical solution of IVPS (2015)
  16. Magdalena, I.; Erwina, N.; Pudjaprasetya, S. R.: Staggered momentum conservative scheme for radial dam break simulation (2015)
  17. Buchmüller, Pawel; Helzel, Christiane: Improved accuracy of high-order WENO finite volume methods on Cartesian grids (2014)
  18. Quezada de Luna, Manuel; Ketcheson, David I.: Numerical simulation of cylindrical solitary waves in periodic media (2014)
  19. Shyue, Keh-Ming; Xiao, Feng: An Eulerian interface sharpening algorithm for compressible two-phase flow: the algebraic THINC approach (2014)
  20. Ketcheson, David I.; Parsani, Matteo; LeVeque, Randall J.: High-order wave propagation algorithms for hyperbolic systems (2013)

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