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.

引用

页数：22

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