An efficient WENO scheme for solving hyperbolic conservation laws

DOI10.1016/j.amc.2009.01.085zbMath1168.65379OpenAlexW2016316479MaRDI QIDQ1026258

Yousef Hashem Zahran

Publication date: 24 June 2009

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2009.01.085

zbMATH Keywords

conservation lawsWENOcentral WENOTVD Runge-Kuttacentral-upwind flux

Mathematics Subject Classification ID

Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06)

Related Items

A new fourth order central WENO method for 3D hyperbolic conservation laws ⋮ Simulations of shallow water equations with finite difference Lax-Wendroff weighted essentially non-oscillatory schemes ⋮ Improved ninth order WENO scheme for hyperbolic conservation laws ⋮ A semi-discrete central scheme for incompressible multiphase flow in porous media in several space dimensions ⋮ Optimal Definition of the Nonlinear Weights in Multidimensional Central WENOZ Reconstructions

Uses Software

• CWENO

Cites Work

• The numerical simulation of two-dimensional fluid flow with strong shocks
• Uniformly high order accurate essentially non-oscillatory schemes. III
• Monotonicity preserving weighted essentially non-oscillatory schemes with increasingly high order of accuracy
• Mapped weighted essentially non-oscillatory schemes: Achieving optimal order near critical points
• On the construction, comparison, and local characteristic decomposition for high-order central WENO schemes
• Efficient implementation of weighted ENO schemes
• An improved weighted essentially non-oscillatory scheme for hyperbolic conservation laws
• A central WENO scheme for solving hyperbolic conservation laws on non-uniform meshes
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• Total variation diminishing Runge-Kutta schemes
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