An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows

JOURNAL OF COMPUTATIONAL PHYSICS

卷:230

Article

Wang, Shizhao¹  Zhang, Xing¹ 

[1] Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China

关键词: Immersed boundary method;    Discrete stream function formulation;    Incompressible flow;    Navier-Stokes equations;    Parallel computing;   

DOI  :  10.1016/j.jcp.2011.01.045

来源: Elsevier

【 摘 要 】

An immersed boundary method is proposed in the framework of discrete stream function formulation for incompressible flows. In order to impose the non-slip boundary condition, the forcing term is determined implicitly by solving a linear system. The number of unknowns of the linear system is the same as that of the Lagrangian points representing the body surface. Thus the extra cost in force calculation is negligible if compared with that in the basic flow solver. In order to handle three-dimensional flows at moderate Reynolds numbers, a parallelized flow solver based on the present method is developed using the domain decomposition strategy. To verify the accuracy of the immersed-boundary method proposed in this work, flow problems of different complexity (decaying vortices, flows over stationary and oscillating cylinders and a stationary sphere, and flow over low-aspect-ratio flat-plate) are simulated and the results are in good agreement with the experimental or computational data in previously published literatures. (c) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

Free