Well-balanced hybrid compact-WENO scheme for shallow water equations

DOI10.1016/j.apnum.2016.10.001zbMath1381.76228OpenAlexW2537201115MaRDI QIDQ343668

Xianqing Lv, Zhen Gao, Wai-Sun Don, Qiangqiang Zhu

Publication date: 28 November 2016

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2016.10.001

zbMATH Keywords

shallow water equationscompactwell-balancedhybridWENO-Zmulti-resolution

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Finite volume methods applied to problems in fluid mechanics (76M12) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (16)

An Efficient Low-Dissipation Hybrid Central/WENO Scheme for Compressible Flows ⋮ CIP method of characteristics for the solution of tide wave equations ⋮ Fast iterative adaptive multi-quadric radial basis function method for edges detection of piecewise functions. I: Uniform mesh ⋮ Hybrid Compact-WENO Finite Difference Scheme with Radial Basis Function Based Shock Detection Method for Hyperbolic Conservation Laws ⋮ A well-balanced ADER discontinuous Galerkin method based on differential transformation procedure for shallow water equations ⋮ A Well-Balanced Weighted Compact Nonlinear Scheme for Pre-Balanced Shallow Water Equations ⋮ An edge detector based on artificial neural network with application to hybrid compact-WENO finite difference scheme ⋮ Hybrid fifth-order unequal-sized weighted essentially non-oscillatory scheme for shallow water equations ⋮ Enhanced robustness of the hybrid compact-WENO finite difference scheme for hyperbolic conservation laws with multi-resolution analysis and Tukey's boxplot method ⋮ Stencil selection algorithms for WENO schemes on unstructured meshes ⋮ A new fifth-order finite difference well-balanced multi-resolution WENO scheme for solving shallow water equations ⋮ A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography ⋮ High Order Well-Balanced Weighted Compact Nonlinear Schemes for the Gas Dynamic Equations under Gravitational Fields ⋮ A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations ⋮ High Order Well-Balanced Weighted Compact Nonlinear Schemes for Shallow Water Equations ⋮ Stencil selection algorithms for WENO schemes on unstructured meshes

Cites Work

• Positivity-preserving well-balanced discontinuous Galerkin methods for the shallow water equations on unstructured triangular meshes
• Hybrid well-balanced WENO schemes with different indicators for shallow water equations
• High order weighted essentially non-oscillatory WENO-Z schemes for hyperbolic conservation laws
• ENO and WENO schemes with the exact conservation property for one-dimensional shallow water equations
• A massively parallel multi-block hybrid compact WENO scheme for compressible flows
• High order hybrid central-WENO finite difference scheme for conservation laws
• Multi-domain hybrid spectral-WENO methods for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• Compact finite difference schemes with spectral-like resolution
• Balancing source terms and flux gradients in high-resolution Godunov methods: The quasi-steady wave-propagation algorithm
• A general class of commutative filters for LES in complex geometries
• Upwind methods for hyperbolic conservation laws with source terms
• A characteristic-wise hybrid compact-WENO scheme for solving hyperbolic conservation laws.
• Mathematical balancing of flux gradient and source terms prior to using Roe's approximate Riemann solver.
• Extension of ENO and WENO schemes to one-dimensional sediment transport equations.
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Conservative hybrid compact-WENO schemes for shock-turbulence interaction
• WENO schemes for balance laws with spatially varying flux
• Efficient implementation of weighted ENO schemes
• Hybrid weighted essentially non-oscillatory schemes with different indicators
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• High order finite difference WENO schemes with the exact conservation property for the shallow water equations
• Hybrid Compact-WENO Finite Difference Scheme with Conjugate Fourier Shock Detection Algorithm for Hyperbolic Conservation Laws
• Hybrid Compact-WENO Finite Difference Scheme For Detonation Waves Simulations
• Hybrid finite compact-WENO schemes for shock calculation
• A well-balanced Runge-Kutta discontinuous Galerkin method for the shallow-water equations with flooding and drying
• High Order Weighted Essentially Nonoscillatory Schemes for Convection Dominated Problems
• A Survey of High Order Schemes for the Shallow Water Equations
• Exact solutions to the Riemann problem of the shallow water equations with a bottom step

This page was built for publication: Well-balanced hybrid compact-WENO scheme for shallow water equations