A p-multigrid spectral difference method for two-dimensional unsteady incompressible Navier-Stokes equations |
| |
Authors: | Chunlei Liang AS ChanAntony Jameson |
| |
Affiliation: | a Department of Mechanical and Aerospace Engineering, George Washington University, DC 20052, United States b Department of Aeronautics and Astronautics, Stanford University, Stanford, CA 94305, United States |
| |
Abstract: | This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier-Stokes equations accelerated by a p-multigrid method. This solver is designed for unstructured quadrilateral elements. Time-marching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic. An artificial compressibility method (ACM) is employed in order to treat the inviscid fluxes using the traditional characteristics-based schemes. The viscous fluxes are computed using the averaging approach (Sun et al., 2007; Kopriva, 1998) 29] and 12]. A dual time stepping scheme is implemented to deal with physical time marching. A p-multigrid method is implemented (Liang et al., 2009) 16] in conjunction with the dual time stepping method for convergence acceleration. The incompressible SD (ISD) method added with the ACM (SD-ACM) is able to accurately simulate 2D steady and unsteady viscous flows. |
| |
Keywords: | Spectral difference method Artificial compressibility method Dual time stepping p-Multigrid |
本文献已被 ScienceDirect 等数据库收录! |
|