A high-order monotonicity-preserving scheme for hyperbolic conservation laws

DOI10.1016/j.compfluid.2016.10.029zbMath1390.65088OpenAlexW2559838995MaRDI QIDQ1648143

Guy Capdeville

Publication date: 27 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.compfluid.2016.10.029

zbMATH Keywords

monotonicitymaximum principlehyperbolicitydiagonalizationgasdynamicshigh-order accuracyfinite-volumeleast-squareMUSCLcharacteristic variablecoupling term

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (4)

Monotonicity-preserving Lax-Wendroff scheme for solving scalar hyperbolic conservation laws ⋮ Hermite upwind positive schemes (HUPS) for non-linear hyperbolic systems of conservation laws ⋮ Gas kinetic principles in Navier-Stokes finite-volume solvers ⋮ Compact high-order numerical schemes for scalar hyperbolic partial differential equations

Cites Work

• Unnamed Item
• On high order strong stability preserving Runge-Kutta and multi step time discretizations
• On Godunov-type methods near low densities
• The numerical simulation of two-dimensional fluid flow with strong shocks
• Positive schemes for solving multi-dimensional hyperbolic systems of conservation laws. II
• Maximum-principle-satisfying and positivity-preserving high-order schemes for conservation laws: survey and new developments
• Multigrid Solution of Monotone Second-Order Discretizations of Hyperbolic Conservation Laws
• Numerical Solution of the Riemann Problem for Two-Dimensional Gas Dynamics

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