Effcient algorithms for high-order discretizations of the Euler and Navier-Stokes equations

Higher order discretizations have not been widely successful in industrial applications to compressible flow simulation. Among several reasons for this, one may identify the lack of tailor-suited, best-practice relaxation techniques that compare favorably to highly tuned lower order methods, such as finite-volume schemes. In this paper we investigate effcient Spectral Difference discretization methods for the Euler and Navier-Stokes equations, and present solution algorithms using such techniques as h/p-Multigrid. We present a novel hybrid multilevel relaxation method that combines matrix-free implicit relaxation techniques with explicit time-stepping using geometric multigrid. Copyright © 2009 by the authors.

Duke Scholars

Author Georg May DKU Faculty