A hybrid multilevel method for high-order discretization of the Euler equations on unstructured meshes

作者：May Georg^*; Iacono Francesca; Jameson Antony

来源：Journal of Computational Physics, 2010, 229(10): 3938-3956.

DOI：10.1016/j.jcp.2010.01.036

• Multigrid methods
• Newton-Krylov methods
• Euler equations
• Spectral Difference scheme
• Nodal schemes

Higher order discretization has 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 solution algorithms in conjunction with high-order Spectral Difference discretization for the Euler equations, using such techniques as multigrid and matrix-free implicit relaxation methods In particular we present a novel hybrid multilevel relaxation method that combines (optionally matrix-free) implicit relaxation techniques with explicit multistage smoothing using geometric multigrid.

• 出版日期2010-5-20