SUPG FINITE-ELEMENT COMPUTATION OF COMPRESSIBLE FLOWS WITH THE ENTROPY AND CONSERVATION VARIABLES FORMULATIONS

被引:123
作者
LEBEAU, GJ
RAY, SE
ALIABADI, SK
TEZDUYAR, TE
机构
[1] UNIV MINNESOTA,MINNESOTA SUPERCOMP INST,1200 WASHINGTON AVE S,MINNEAPOLIS,MN 55415
[2] UNIV MINNESOTA,USA,HIGH PERFORMANCE COMP RES CTR,DEPT AEROSP ENGN & MECH,MINNEAPOLIS,MN 55415
[3] NASA,LYNDON B JOHNSON SPACE CTR,DIV NAVIGAT CONTROL & AERONAUT,COMP FLUID DYNAM GRP,HOUSTON,TX 77058
基金
美国国家科学基金会;
关键词
D O I
10.1016/0045-7825(93)90033-T
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
SUPG-stabilized finite element formulations of compressible Euler equations based on the conservation and entropy variables are investigated and compared. The formulation based on the conservation variables consists of the formulation introduced by Tezduyar and Hughes plus a shock capturing term. The formulation based on the entropy variables is the same as the one by Hughes, Franca and Mallet, which has a shock capturing term built in. These formulations are tested on several subsonic, transonic and supersonic compressible flow problems. It is shown that the stabilized formulation based on the conservation variables gives solutions which are just as good as those obtained with the entropy variables. Furthermore, the solutions obtained using the two formulations are very close and in some cases almost indistinguishable. Consequently, it can be deduced that the relative mer-its of these two formulations will continue to remain under debate.
引用
收藏
页码:397 / 422
页数:26
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