Efficient Implicit Non-linear LU-SGS Approach for Compressible Flow Computation Using High-Order Spectral Difference Method  被引量:2

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作  者:Yuzhi Sun Z.J.Wang Yen Liu 

机构地区:[1]Department of Aerospace Engineering,Iowa State University,Ames,IA 50011,USA [2]NASA Ames Research Center,Moffett Field,CA 94035,USA

出  处:《Communications in Computational Physics》2009年第2期760-778,共19页计算物理通讯(英文)

基  金:The study was partially funded by Rockwell Scientific/DARPA contract W911NF-04-C-0102,AFOSR grant FA9550-06-1-0146,and DOE grant DE-FG02-05ER25677;The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements,either expressed or im-plied,of DARPA,AFOSR,DOE,or the U.S.Government.

摘  要:An implicit non-linear lower-upper symmetric Gauss-Seidel(LU-SGS)solution algorithm has been developed for a high-order spectral difference Navier-Stokes solver on unstructured hexahedral grids.The non-linear LU-SGS solver is preconditioned by a block element matrix,and the system of equations is then solved with the LU decomposition approach.The large sparse Jacobian matrix is computed numerically,resulting in extremely simple operations for arbitrarily complex residual operators.Several inviscid and viscous test cases were performed to evaluate the performance.The implicit solver has shown speedup of 1 to 2 orders of magnitude over the multi-stage Runge-Kutta time integration scheme.

关 键 词:High order unstructured grids spectral difference NAVIER-STOKES IMPLICIT 

分 类 号:O35[理学—流体力学]

 

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