A HYBRID FINITE ELEMENT SCHEME FOR INVISCID SUPERSONIC FLOWS  

作　　者：徐守栋 吴望一 

出　　处：《Applied Mathematics and Mechanics(English Edition)》1997年第8期739-748,共10页应用数学和力学（英文版）

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

关 键 词：finite element hybrid scheme SHOCKS 

分 类 号：O42[理学—声学]