Exponential basis functions in solution of incompressible fluid problems with moving free surfaces

JOURNAL OF COMPUTATIONAL PHYSICS

卷:231

Article

Zandi, S. M.¹  Boroomand, B.¹  Soghrati, S.² 

[1] Isfahan Univ Technol, Dept Civil Engn, Esfahan 8415683111, Iran

[2] Univ Illinois, Dept Civil & Environm Engn, Urbana, IL 61801 USA

关键词: Free surface;    Moving boundaries;    Lagrangian formulation;    Trefftz method;    Exponential basis functions;    Meshless method;    Fluid-structure interaction;   

DOI  :  10.1016/j.jcp.2011.09.016

来源: Elsevier

【 摘 要 】

In this paper, a new simple meshless method is presented for the solution of incompressible inviscid fluid flow problems with moving boundaries. A Lagrangian formulation established on pressure, as a potential equation, is employed. In this method, the approximate solution is expressed by a linear combination of exponential basis functions (EBFs), with complex-valued exponents, satisfying the governing equation. Constant coefficients of the solution series are evaluated through point collocation on the domain boundaries via a complex discrete transformation technique. The numerical solution is performed in a time marching approach using an implicit algorithm. In each time step, the governing equation is solved at the beginning and the end of the step, with the aid of an intermediate geometry. The use of EBFs helps to find boundary velocities with high accuracy leading to a precise geometry updating. The developed Lagrangian meshless algorithm is applied to variety of linear and nonlinear benchmark problems. Non-linear sloshing fluids in rigid rectangular two-dimensional basins are particularly addressed. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free