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Third‐ and fourth‐order well‐balanced schemes for the shallow water equations based on the CWENO reconstruction

https://doi.org/10.1002/fld.4700
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Outgoing claims: the papers this work cites, builds on, or argues with.

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Efficient Implementation of Weighted ENO Schemes
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Weighted Essentially Non-oscillatory Schemes on Triangular Meshes
inferredcites →https://doi.org/10.1006/jcph.1999.6207openalex-snapshot
A High-Order WENO Finite Difference Scheme for the Equations of Ideal Magnetohydrodynamics
inferredcites →https://doi.org/10.1006/jcph.2001.6892openalex-snapshot
A Technique of Treating Negative Weights in WENO Schemes
inferredcites →https://doi.org/10.1006/jcph.2002.7191openalex-snapshot
On the Construction, Comparison, and Local Characteristic Decomposition for High-Order Central WENO Schemes
inferredcites →https://doi.org/10.1007/978-3-319-32146-2_5openalex-snapshot
An Introduction to GPU Computing for Numerical Simulation
inferredcites →https://doi.org/10.1007/s10915-011-9470-xopenalex-snapshot
Two-Dimensional Compact Third-Order Polynomial Reconstructions. Solving Nonconservative Hyperbolic Systems Using GPUs
inferredcites →https://doi.org/10.1007/s10915-015-0038-zopenalex-snapshot
Adaptive Mesh Refinement for Hyperbolic Systems Based on Third-Order Compact WENO Reconstruction
inferredcites →https://doi.org/10.1007/s10915-015-0123-3openalex-snapshot
On the Accuracy of WENO and CWENO Reconstructions of Third Order on Nonuniform Meshes
inferredcites →https://doi.org/10.1007/s10915-017-0486-8openalex-snapshot
A New Type of Finite Volume WENO Schemes for Hyperbolic Conservation Laws
inferredcites →https://doi.org/10.1016/bs.hna.2016.10.002openalex-snapshot
Well-Balanced Schemes and Path-Conservative Numerical Methods
inferredcites →https://doi.org/10.1016/j.amc.2009.01.085openalex-snapshot
An efficient WENO scheme for solving hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.amc.2012.04.003openalex-snapshot
A New fourth order central WENO method for 3D hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.amc.2017.12.041openalex-snapshot
On a third order CWENO boundary treatment with application to networks of hyperbolic conservation laws
inferredcites →https://doi.org/10.1016/j.compfluid.2012.01.012openalex-snapshot
Efficient GPU implementation of a two waves TVD-WAF method for the two-dimensional one layer shallow water system on structured meshes
inferredcites →https://doi.org/10.1016/j.compfluid.2017.07.022openalex-snapshot
Cool WENO schemes
inferredcites →https://doi.org/10.1016/j.compfluid.2017.08.035openalex-snapshot
Well-balanced methods for the shallow water equations in spherical coordinates
inferredcites →https://doi.org/10.1016/j.compfluid.2017.10.009openalex-snapshot
High order finite volume schemes for balance laws with stiff relaxation
inferredcites →https://doi.org/10.1016/j.jcp.2007.04.004openalex-snapshot
Quadrature-free non-oscillatory finite volume schemes on unstructured meshes for nonlinear hyperbolic systems
inferredcites →https://doi.org/10.1016/j.jcp.2007.08.007openalex-snapshot
On a well-balanced high-order finite volume scheme for shallow water equations with topography and dry areas
inferredcites →https://doi.org/10.1016/j.jcp.2007.11.029openalex-snapshot
A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
inferredcites →https://doi.org/10.1016/j.jcp.2008.12.003openalex-snapshot
Efficient, high accuracy ADER-WENO schemes for hydrodynamics and divergence-free magnetohydrodynamics
inferredcites →https://doi.org/10.1016/j.jcp.2010.11.023openalex-snapshot
WENO schemes on arbitrary mixed-element unstructured meshes in three space dimensions
inferredcites →https://doi.org/10.1016/j.jcp.2016.09.009openalex-snapshot
An efficient class of WENO schemes with adaptive order
inferredcites →https://doi.org/10.1016/s0168-9274(99)00108-7openalex-snapshot
A third order central WENO scheme for 2D conservation laws
inferredcites →https://doi.org/10.1017/s0022112081001882openalex-snapshot
Some exact solutions to the nonlinear shallow-water wave equations
inferredcites →https://doi.org/10.1051/m2an:1999152openalex-snapshot
Central WENO schemes for hyperbolic systems of conservation laws
inferredcites →https://doi.org/10.1090/mcom/3273openalex-snapshot
CWENO: Uniformly accurate reconstructions for balance laws
inferredcites →https://doi.org/10.1090/s0025-5718-98-00913-2openalex-snapshot
Total variation diminishing Runge-Kutta schemes
inferredcites →https://doi.org/10.1098/rspa.2011.0153openalex-snapshot
Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
inferredcites →https://doi.org/10.1137/050628052openalex-snapshot
Numerical methods for nonconservative hyperbolic systems: a theoretical framework.
inferredcites →https://doi.org/10.1137/070679065openalex-snapshot
High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
inferredcites →https://doi.org/10.1137/100791579openalex-snapshot
Analysis of WENO Schemes for Full and Global Accuracy
inferredcites →https://doi.org/10.1137/130947568openalex-snapshot
On the Full and Global Accuracy of a Compact Third Order WENO Scheme
inferredcites →https://doi.org/10.1137/17m1111036openalex-snapshot
Central Weighted ENO Schemes for Hyperbolic Conservation Laws on Fixed and Moving Unstructured Meshes
inferredcites →https://doi.org/10.1137/s1064827501385852openalex-snapshot
A Fourth-Order Central WENO Scheme for Multidimensional Hyperbolic Systems of Conservation Laws
inferredcites →https://doi.org/10.1137/s1064827599359461openalex-snapshot
Compact Central WENO Schemes for Multidimensional Conservation Laws
inferredcites →https://doi.org/10.4208/cicp.180513.230514aopenalex-snapshot
Solving Two-Mode Shallow Water Equations Using Finite Volume Methods
inferredcites →https://doi.org/10.4208/cicp.oa-2018-0069openalex-snapshot
Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes
inferredcites →https://doi.org/10.4310/cms.2007.v5.n1.a6openalex-snapshot
A Second-Order Well-Balanced Positivity Preserving Central-Upwind Scheme for the Saint-Venant System

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A Well-Balanced Active Flux Method for the Shallow Water Equations with Wetting and Drying
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