摘要
本文将LU分解法用于流体力学及空气动力学Euler方程组的计算,使计算可逐点推进,避免了Beam—Warming近似因子分解法出现的块三对角阵的求逆过程;文中还采用FAS型多层网格技术将上述算法进行加速。
A lower-upper implicit scheme is developed for the unsteady Euler equations . The scheme requires only two sweeps through the grid and it is unconditionally stable . Each factor represents an algebraic system which is either lower block diagonal or upperblock diagonal and hence the name LU . Inversion of such systems is relatively simple and efficient . A nonlinear multigrid algorithm ,full approximation storage (FAS ),is combined with LU implicit scheme to produce a rapidlyconvergent algorithm for calculating steady-state solutions of the Euler equations .
出处
《计算物理》
CSCD
北大核心
1990年第1期39-43,共5页
Chinese Journal of Computational Physics
关键词
流体力学
EULER方程
LU分解
格式
Jameson-Turkel LU scheme, FAS non-linear multigrid algorithm, Euler Equations.
