Roe‐type Riemann solvers for general hyperbolic systems. (1st April 2014)

• Record Type: Journal Article
• Authors: Castro, Cristóbal E.; Toro, Eleuterio F.
• Is Part Of: International journal for numerical methods in fluids. Volume 75:Number 7(2014:Jul.)
• Page Start: 467
• Page End: 486
• Publication Date: 2014-04-01
• Subjects: Fluid dynamics -- Mathematics -- Periodicals; 532
• DOI: 10.1002/fld.3903
• Languages: English
• ISSNs: 0271-2091

Abstract

<abstract abstract-type="main" id="fld3903-abs-0001"> <title>SUMMARY</title> <p>We present a Roe‐type weak formulation Riemann solver where the average coefficient matrix is computed numerically. The novelty of this approach is that it is general enough that can be applied to any hyperbolic system while retaining the accuracy of the original Roe solver. We show applications to the compressible Euler equations with general equation of state. An alternative version of the method uses directly the eigenvectors in the averaging process, simplifying the algorithm. These new solvers are applied in conservative and path‐conservative schemes with high‐order accuracy and on unstructured meshes. Copyright © 2014 John Wiley &amp; Sons, Ltd.</p> </abstract>