High resolution central scheme using a new upwind slope limiter for hyperbolic conservation laws

DOI10.1016/j.compfluid.2021.105164OpenAlexW3200689773WikidataQ115578130 ScholiaQ115578130MaRDI QIDQ2245592

Yang Hu, Decai Li, Xiangshen Meng, Zhenyu Cai, Ming-jun Li

Publication date: 15 November 2021

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2021.105164

zbMATH Keywords

hyperbolic conservation lawshigh resolution schemecentral schemeupwind slope limiter

Mathematics Subject Classification ID

Fluid mechanics (76-XX)

Cites Work

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• Non-oscillatory central differencing for hyperbolic conservation laws
• High resolution schemes for hyperbolic conservation laws
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Towards the ultimate conservative difference scheme. III: Upstream- centered finite-difference schemes for ideal compressible flow
• A survey of several finite difference methods for systems of nonlinear hyperbolic conservation laws
• On the 2-D Riemann problem for the compressible Euler equations I: Interaction of shocks and rarefaction waves
• Towards the ultimate conservative difference scheme. II: Monotonicity and conservation combined in a second-order scheme
• New high-resolution central schemes for nonlinear conservation laws and convection-diffusion equations
• Semidiscrete Central-Upwind Schemes for Hyperbolic Conservation Laws and Hamilton--Jacobi Equations
• High Resolution Schemes and the Entropy Condition
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• High Resolution Schemes Using Flux Limiters for Hyperbolic Conservation Laws
• Riemann Solvers, the Entropy Condition, and Difference
• Convenient Total Variation Diminishing Conditions for Nonlinear Difference Schemes
• Nonoscillatory Central Schemes for Multidimensional Hyperbolic Conservation Laws
• Solution of Two-Dimensional Riemann Problems of Gas Dynamics by Positive Schemes
• Numerical Methods for Conservation Laws
• Solution of two-dimensional Riemann problems for gas dynamics without Riemann problem solvers
• Weak solutions of nonlinear hyperbolic equations and their numerical computation

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