An adaptive space-time algorithm for the incompressible Navier-Stokes equations

被引：1
|
作者：
Boisneault, Antonin [1 ]
Dubuis, Samuel [2 ]
Picasso, Marco [2 ]
机构：
[1] Ponts ParisTech, Champs sur marne, Marne, France
[2] Ecole Polytech Fed Lausanne, Inst Math, Stn 8, CH-1015 Lausanne, Switzerland
来源：
JOURNAL OF COMPUTATIONAL PHYSICS | 2023年 / 493卷
关键词：
A posteriori error estimates; Space-time adaptive algorithm; Anisotropic finite elements; Second order time discretization; Navier-Stokes; STABILIZED FINITE-ELEMENTS; POSTERIORI ERROR ESTIMATOR; CRANK-NICOLSON METHOD; APPROXIMATION; MESHES;
D O I：
10.1016/j.jcp.2023.112457
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
A space-time adaptive algorithm is presented to solve the incompressible Navier-Stokes equations. Time discretization is performed with the BDF2 method while continuous, piecewise linear anisotropic finite elements are used for the space discretization. The error indicator in time is justified through an posteriori upper bound of the error due to time discretization. The error indicator in space is taken from [1]. Numerical experiments confirm the sharpness of the error indicator and the efficiency of the adaptive algorithm. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).
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页数：22
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