Numerical Analysis of a BDF2 Modular Grad-Div Stabilization Method for the Navier-Stokes Equations

被引：16
|
作者：
Rong, Y. [1 ]
Fiordilino, J. A. [2 ]
机构：
[1] Harbin Inst Technol, Sch Mech Engn & Automat, Shenzhen 518055, Guangdong, Peoples R China
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
JOURNAL OF SCIENTIFIC COMPUTING | 2020年 / 82卷 / 03期
关键词：
Grad-div stabilization; Modular method; BDF2 time discretization; Stability and error estimates; Navier-Stokes equations; TIME-DEPENDENT FLOW; INCOMPRESSIBLE-FLOW; ROTATION FORM; OSEEN PROBLEM; 2ND-ORDER; APPROXIMATION; EFFICIENT;
D O I：
10.1007/s10915-020-01165-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A second-order accurate modular algorithm is presented for a standard BDF2 code for the Navier-Stokes equations (NSE). The algorithm exhibits resistance to solver breakdown and increased computational efficiency for increasing values of grad-div parameters. We provide a complete theoretical analysis of the algorithms stability and convergency. Computational tests are performed and illustrate the theory and advantages over monolithic grad-div stabilizations.
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页数：22
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