Finite Volume Adaptive Mesh Refinement Based on Graph Applied to the Boundary Layer Problem

被引：1

作者：

de Oliveira, S. L. G. ^{[1
]}

Kischinhevsky, M. ^{[2
,3
,4
,5
]}

Burgarelli, D. ^{[6
,7
]}

机构：

[1] Univ Fed Lavras, Lavras, MG, Brazil

[2] Univ Fed Fluminense, Dept Ciencia Comp, Niteroi, RJ, Brazil

[3] Univ Fed Fluminense, Inst Comp, Niteroi, RJ, Brazil

[4] Univ Fed Fluminense, Programa Posgrad Comp, Niteroi, RJ, Brazil

[5] Univ Fed Fluminense, Curso Bacharelado Ciencia Comp, Niteroi, RJ, Brazil

[6] Univ Fed Minas Gerais, Dept Matemat, Belo Horizonte, MG, Brazil

[7] Univ Fed Minas Gerais, Curso Bacharelado Matemat Comp, Belo Horizonte, MG, Brazil

来源：

IEEE LATIN AMERICA TRANSACTIONS | 2011年 / 9卷 / 01期

关键词：

Finite Volume Method; NACA airfoil; Boundary Layer Problem; adaptive mesh refinement; Hilbert space filling curve;

D O I：

10.1109/TLA.2011.5876428

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In Physics and Fluid Mechanics, the Boundary Layer is a fluid layer in the neighborhood of a surface. This phenomena is important in many disciplines, mainly in aerodynamics. This paper presents a two-dimensional numerical simulation of this problem considering a incompressible laminar flux in steady state with non-slip condition. A adaptive mesh refinement is carried out by the Autonomous Leaves Graph (ALG) with finite volume discretizations. The Modified Hilbert Curve is implemented to traverse and provide the total ordering of the finite volumes that compose the domain. The numerical solution of the flat plate problem is compared with the Blasius Solution. Besides, flux simulations are presented around a airfoil NACA four digits. The results show evidences that the scheme is adequate in terms of performance and accuracy.

引用

页码：836 / 842

页数：7

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