A third-order entropy stable scheme for hyperbolic conservation laws

DOI10.1142/S021989161650003XzbMath1341.65030OpenAlexW2301476414MaRDI QIDQ2798339

Xiaohan Cheng, Yu-Feng Nie

Publication date: 12 April 2016

Published in: Journal of Hyperbolic Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021989161650003x

zbMATH Keywords

conservation lawsEuler equationRiemann problemnumerical experimententropy stabilitynonlinear limiternon-oscillatory reconstructionsemi-discrete difference method

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20)

Related Items (8)

Энтропийная регуляризация разрывного метода Галеркина для двумерных уравнений Эйлера в триангулированных областях ⋮ Разрывный метод Галеркина с энтропийным ограничителем наклонов для уравнений Эйлера ⋮ Entropy stable non-oscillatory fluxes: an optimized wedding of entropy conservative flux with non-oscillatory flux ⋮ Энтропийно устойчивый разрывный метод Галеркина для уравнений Эйлера, использующий неконсервативные переменные ⋮ Энтропийно устойчивый разрывный метод Галеркина для двумерных уравнений Эйлера;Entropy stable discontinuous Galerkin method for two-dimensional Euler equations ⋮ Unnamed Item ⋮ The scaled entropy variables reconstruction for entropy stable schemes with application to shallow water equations ⋮ Энтропийная регуляризация разрывного метода Галеркина в консервативных переменных для двумерных уравнений Эйлера

Uses Software

• HE-E1GODF

Cites Work

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• High-order entropy stable finite difference schemes for nonlinear conservation laws: finite domains
• Well-balanced and energy stable schemes for the shallow water equations with discontinuous topography
• Affordable, entropy-consistent Euler flux functions. II: Entropy production at shocks
• Kinetic relations for undercompressive shock waves. Physical, mathematical, and numerical issues
• Energy-Preserving and Stable Approximations for the Two-Dimensional Shallow Water Equations
• Riemann Solvers and Numerical Methods for Fluid Dynamics
• Nonclassical Shocks and Kinetic Relations: Finite Difference Schemes
• Entropy stability theory for difference approximations of nonlinear conservation laws and related time-dependent problems
• Fully Discrete, Entropy Conservative Schemes of ArbitraryOrder
• Nonoscillatory High Order Accurate Self-Similar Maximum Principle Satisfying Shock Capturing Schemes I
• Kinetic Energy Preserving and Entropy Stable Finite Volume Schemes for Compressible Euler and Navier-Stokes Equations
• ENTROPY STABLE APPROXIMATIONS OF NAVIER–STOKES EQUATIONS WITH NO ARTIFICIAL NUMERICAL VISCOSITY

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