An Implicit LU-SGS Scheme for the Spectral Volume Method on Unstructured Tetrahedral Grids  

作　　者：Takanori Haga Keisuke Sawada Z.J.Wang 

机构地区：[1]Department of Aerospace Engineering,Tohoku University,Sendai 980-8579,Japan [2]Department of Aerospace Engineering,Iowa State University,Ames,IA 50011,USA

出　　处：《Communications in Computational Physics》2009年第10期978-996,共19页计算物理通讯（英文）

摘　　要：An efficient implicit lower-upper symmetric Gauss-Seidel(LU-SGS)solution approach has been applied to a high order spectral volume(SV)method for unstructured tetrahedral grids.The LU-SGS solver is preconditioned by the block element matrix,and the system of equations is then solved with a LU decomposition.The compact feature of SV reconstruction facilitates the efficient solution algorithm even for high order discretizations.The developed implicit solver has shown more than an order of magnitude of speed-up relative to the Runge-Kutta explicit scheme for typical inviscid and viscous problems.A convergence to a high order solution for high Reynolds number transonic flow over a 3D wing with a one equation turbulence model is also indicated.

关 键 词：HIGH-ORDER unstructured grid spectral volume implicit method 

分 类 号：O35[理学—流体力学]