A posteriori analysis for dynamic model adaptation in convection-dominated problems

被引:7
作者
Giesselmann, Jan [1 ]
Pryer, Tristan [2 ]
机构
[1] Univ Stuttgart, Inst Appl Anal & Numer Simulat, Pfaffenwaldring 57, D-70569 Stuttgart, Germany
[2] Univ Reading, Dept Math & Stat, POB 220, Reading RG6 6AX, Berks, England
基金
英国工程与自然科学研究理事会;
关键词
Model adaptation; domain decomposition; discontinuous Galerkin method; Euler equations; Navier-Stokes-Fourier; HETEROGENEOUS DOMAIN DECOMPOSITION; DISCONTINUOUS GALERKIN SCHEMES; SUITABLE WEAK SOLUTIONS; ERROR; DISCRETIZATION; EQUATIONS; SYSTEMS;
D O I
10.1142/S0218202517500476
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this work, we present an a posteriori error indicator for approximation schemes of Runge-Kutta-discontinuous-Galerkin type arising in applications of compressible fluid flows. The purpose of this indicator is not only for mesh adaptivity, we also make use of this to drive model adaptivity. This is perhaps where a costly complex model and a cheaper simple model are solved over different parts of the domain. The a posteriori bound we derive indicates the regions where the complex model can be relatively well approximated with the cheaper one. One such example which we choose to highlight is that of the Navier-Stokes-Fourier equations approximated by Euler's equations.
引用
收藏
页码:2381 / 2423
页数:43
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