Approximate projection methods: Part I. Inviscid analysis

被引:81
作者
Almgren, AS [1 ]
Bell, JB [1 ]
Crutchfield, WY [1 ]
机构
[1] Univ Calif Berkeley, Lawrence Berkeley Lab, Berkeley, CA 94720 USA
关键词
projection method; approximate projection; incompressible flow;
D O I
10.1137/S1064827599357024
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The use of approximate projection methods for modeling low Mach number flows avoids many of the numerical complications associated with exact projection methods, but introduces additional design choices in developing a robust algorithm. In this paper we first explore these design choices in the setting of inviscid incompressible ow using several computational examples. We then develop a framework for analyzing the behavior of the different design variations and use that analysis to explain the features observed in the computations. As part of this work we introduce a new variation of the approximate projection algorithm that combines the advantages of several of the previous versions.
引用
收藏
页码:1139 / 1159
页数:21
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