Mathematical modeling and numerical multigoal-oriented a posteriori error control and adaptivity for a stationary, nonlinear, coupled flow temperature model with temperature dependent density

被引：0

作者：

Beuchler, S. ^{[1
,3
]}

Demircan, A. ^{[2
,3
]}

Endtmayer, B. ^{[1
,3
]}

Morgner, U. ^{[2
,3
]}

Wick, T. ^{[1
,3
]}

机构：

[1] Leibniz Univ Hannover, Inst Appl Math, Welfengarten 1, D-30167 Hannover, Germany

[2] Leibniz Univ Hannover, Inst Quantum Opt, Welfengarten 1, D-30167 Hannover, Germany

[3] Leibniz Univ Hannover, Cluster Excellence PhoenixD Photon Opt & Engn Inno, Welfengarten 1, D-30167 Hannover, Germany

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2024年 / 175卷

关键词：

Nonlinear PDEs; Navier-Stokes; Multigoal error estimation; Adaptivity; Finite elements; VARIABLE-DENSITY; VISCOSITY; EQUATION; PURE;

D O I：

10.1016/j.camwa.2024.09.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, we develop adaptive schemes using goal-oriented error control for a highly nonlinear flow temperature model with temperature dependent density. The dual-weighted residual method for computing error indicators to steer mesh refinement and solver control is employed. The error indicators are used to employ adaptive algorithms, which are substantiated with several numerical tests. Therein, error reductions and effectivity indices are consulted to establish the robustness and efficiency of our framework.

引用

页码：138 / 151

页数：14