Navier-Stokes方程几种稳定化有限元算法数值比较

Abstract

Abstract:

In this paper, several stabilized finite element methods based on the lowest equal-order finite element pairs (P₁/P₁ or Q₁/Q₁) for the steady Navier-Stokes problem are investigated. The methods include penalty, regular, local Gauss integration and multiscale enrichment method. Comparisons among them show that the multiscale enrichment method we constructed is a favorite method in terms of stability and accuracy at higher Reynolds numbers for the Navier-Stokes problem.

Key words: Stabilized methods, P₁/P₁ elements, Inf-Sup condition, Mixed finite element methods, Navier-Stokes problem

CLC Number:

O241.182

Wen Juan, He Yinnian, Huang Pengzhan, Li Min. Numerical Investigations on Several Stabilized Finite Element Methods for the Navier-Stokes Problem[J].Acta mathematica scientia,Series A, 2016, 36(3): 543-557.

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References

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Numerical Investigations on Several Stabilized Finite Element Methods for the Navier-Stokes Problem

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