A posteriori error estimation based on discrepancies in an entropy variable

作     者：Andrews, JG Morton, KW 

作者机构：JP Morgan Investment Management Inc London England Univ Oxford Comp Lab Oxford OX1 3QD England 

出 版 物：《INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS》 (国际计算流体动力学杂志)

年 卷 期：1998年第10卷第3期

页      面：183-198页

核心收录：

学科分类：080704[工学-流体机械及工程] 080103[工学-流体力学] 08[工学] 0807[工学-动力工程及工程热物理] 0702[理学-物理学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：E.P.S.R.C., (AERO-CT92-0031) Rolls-Royce 

主　　题：entropy discrepancy a posteriori error adaptive mesh finite volume residual 

摘      要：Spurious entropy is often used as a criterion by which the accuracy of a numerical solution of the Euler equations may be judged. In the case of subcritical, compressible flows, we have been able to develop a mathematical theory relating the observed spurious entropy to its local generation. Moreover, the theory may be expressed in terms of the finite volume residual for the Euler equations and hence related to the theory of adaptive finite element methods. We have analysed the formula for the local generation of the spurious entropy and have shown it to be made up of terms of very simple form for which the effect of mesh quality can be assessed. In order to demonstrate the effectiveness of the theory in the context of adaptive grid generation, the local estimator is coupled with an existing mesh movement algorithm, with much improved results being obtained.