Vortex Sheet Intensity Computation in Incompressible Flow Simulation Around an Airfoil by Using Vortex Methods

被引：18

作者：

Kuzmina K.S. ^{[1
]}

Marchevskii I.K. ^{[1
]}

Moreva V.S. ^{[1
]}

机构：

[1] Bauman Moscow State Technical University, Moscow

来源：

Mathematical Models and Computer Simulations | 2018年 / 10卷 / 3期

基金：

俄罗斯科学基金会;

关键词：

2D flow; airfoil; incompressible media; integral equation; no-slip condition; vortex method;

D O I：

10.1134/S2070048218030092

中图分类号：

学科分类号：

摘要：

A numerical scheme is developed to simulate a flow around airfoils by using vortex methods. For this scheme, a numerical algorithm is constructed and exact analytical expressions are obtained for the coefficients of a system of linear algebraic equations. For some test problems, it is shown that the developed scheme allows us to solve a wider class of problems and provides much more accurate results in comparison with the known approaches. © 2018, Pleiades Publishing, Ltd.

引用

页码：276 / 287

页数：11

共 18 条

[1]

Belotserkovskii S.M., Lifanov I.K., Numerical Methods for Singular Integral Equations and their Application, (1985)

[2]

Belotserkovskii S.M., Kotovskii V.N., Nisht M.I., Fedorov R.M., Mathematical Simulation of Plane-Parallel Flow around Objects, (1988)

[3]

Lifanov I.K., Singular Integral Equations and Discrete Vortices, (1996)

[4]

Cottet G.-H., Koumoutsakos P.D., Vortex Methods: Theory and Practice, (2000)

[5]

Lewis R.I., Vortex Element Methods for Fluid Dynamic Analysis of Engineering Systems, (2005)

[6]

Andronov P.R., Guverniuk S.V., Dynnikova G.Y., Vortex Calculation Methods of Non-Stationary Hydrodynamical Loadings, (2006)

[7]

Golovkin M.A., Golovkin V.A., Kalyavkin V.M., Problems of Vortex Hydromechanics, (2009)

[8]

Degond P., Mas-Gallic S., The weighted particle method for convection-diffusion equations. Part 1: The case of an isotropic viscosity, Math. Comput., 53, pp. 485-507, (1989)

[9]

Mas-Gallic S., Raviart P.A., Particle approximation of convection diffusion problems, Internal Rep. R86013, (1986)

[10]

Gazzola M., Chatelain P., van Rees W.M., Koumoutsakos P., Simulations of single and multiple swimmers with non-divergence free deforming geometries, J. Comput. Phys., 230, pp. 7093-7114, (2011)

← 1 2 →