Improved Applications of Relaxation Schemes for Hyperbolic Systems of Conservation Laws and Convection-diffusion Problems

Abstract: A class of third-order relaxation schemes for hyperbolic systems of conservation laws with source terms is reconstructed. The schemes employ general higher-order reconstruction for spatial discretization and higher-order implicit-explicit schemes or TVD Runge — Kutta schemes for time integration of relaxed systems. Extension to multidimensional convection-diffusion problems is also included in this paper. Numerical results for inviscid gas Euler equations, shallow water and incompressible Navier — Stokes equations are given in both one and two space dimensions.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Improved Applications of Relaxation Schemes for Hyperbolic Systems of Conservation Laws and Convection-diffusion Problems ; volume:6 ; number:1 ; year:2006 ; pages:56-86 ; Computational methods in applied mathematics ; 6, Heft 1 (2006), 56-86

Contributors, Places and Time

• Creator: Seaïd, Mohammed

Further information

• DOI: 10.2478/cmam-2006-0003
• URN: urn:nbn:de:101:1-2410261619578.925811617852
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:36 AM CEST