Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations

被引：130

作者：

Stabile, Giovanni ^{[1
]}

Rozza, Gianluigi ^{[1
]}

机构：

[1] SISSA, Math Area, Int Sch Adv Studies, MathLab, Via Bonomea 265, I-34136 Trieste, Italy

来源：

COMPUTERS & FLUIDS | 2018年 / 173卷

基金：

欧洲研究理事会; 欧盟地平线“2020”;

关键词：

Proper orthogonal decomposition; Finite volume approximation; Poisson equation for pressure; Inf-sup approximation; Supremizer velocity space enrichment; Navier-Stokes equations; PARTIAL-DIFFERENTIAL-EQUATIONS; POSTERIORI ERROR-BOUNDS; BASIS APPROXIMATION; EVOLUTION-EQUATIONS; NUMERICAL-SOLUTION; PROJECTION METHODS; FLUID-DYNAMICS; PRESSURE-TERM; FLOWS; MODELS;

D O I：

10.1016/j.compfluid.2018.01.035

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

In this work a stabilised and reduced Galerkin projection of the incompressible unsteady Navier-Stokes equations for moderate Reynolds number is presented. The full-order model, on which the Galerkin projection is applied, is based on a finite volumes approximation. The reduced basis spaces are constructed with a POD approach. Two different pressure stabilisation strategies are proposed and compared: the former one is based on the supremizer enrichment of the velocity space, and the latter one is based on a pressure Poisson equation approach. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：273 / 284

页数：12

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