A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

Applied Mathematics and Mechanics (English Edition) ›› 1997, Vol. 18 ›› Issue (8): 739-748.

A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

徐守栋, 吴望一

Department of Mechanics and Engineering Science, Peking University, Bejing 100871, P. R. China

收稿日期:1995-11-24 修回日期:1997-03-03 出版日期:1997-08-18 发布日期:1997-08-18

A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

Xu Shoudong, Wu Wangyi

Department of Mechanics and Engineering Science, Peking University, Bejing 100871, P. R. China

Received:1995-11-24 Revised:1997-03-03 Online:1997-08-18 Published:1997-08-18

摘要/Abstract

摘要： A hybrid monotonous finite element algorithm is developed in the present paper,based on a second-order-accurate finite elment scheme and a first-order-accuratemonotonous one derived from the former by a unilateral lumping procedure in onedimensional case. The switch functions for the two dimensional Euler equation systemare constructed locally, based on the gradient of the flow field, with specialconsideration on the information from neighboring elements.Examples show that the ew scheme can eliminate oscillations near strong shocks obviously.

关键词: finite element, hybrid scheme, shocks

Abstract: A hybrid monotonous finite element algorithm is developed in the present paper,based on a second-order-accurate finite elment scheme and a first-order-accuratemonotonous one derived from the former by a unilateral lumping procedure in onedimensional case. The switch functions for the two dimensional Euler equation systemare constructed locally, based on the gradient of the flow field, with specialconsideration on the information from neighboring elements.Examples show that the ew scheme can eliminate oscillations near strong shocks obviously.

Key words: finite element, hybrid scheme, shocks

徐守栋;吴望一. A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(8): 739-748.

Xu Shoudong;Wu Wangyi. A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS[J]. Applied Mathematics and Mechanics (English Edition), 1997, 18(8): 739-748.

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A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS

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