|An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows|
|Wang SZ(王士召); Zhang X(张星); Zhang, X (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China
|Source Publication||Journal of Computational Physics
|Abstract||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.|
|Keyword||Immersed Boundary Method
Discrete Stream Function Formulation
Cartesian Grid Method
|Subject Area||Computer Science
|WOS Keyword||LARGE-EDDY SIMULATION
; CARTESIAN GRID METHOD
; EXTERNAL FORCE-FIELD
; INTERFACE METHOD
; CONSERVATION PROPERTIES
; MOVING BOUNDARY
|WOS Research Area||Computer Science
|WOS Subject||Computer Science, Interdisciplinary Applications
; Physics, Mathematical
|Funding Organization||This work was supported by Chinese Academy of Sciences under the Innovative Project Nos. KJCX-SW-L08 and KJCX3-SYW-S01, National Basic Research Program of China (973 Program) under Project No. 2007CB814800, and National Natural Science Foundation of China under Project Nos. 10702074 and 10872201. The authors also like to thank the Supercomputing Center of Chinese Academy of Sciences (SCCAS) and Shanghai Supercomputer Center (SSC) for the allocation of computing time.
|Corresponding Author||Zhang, X (reprint author), Chinese Acad Sci, Inst Mech, LNM, Beijing 100190, Peoples R China|
Wang SZ,Zhang X,Zhang, X . An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows[J]. Journal of Computational Physics,2011,230(9):3479-3499.
王士召,张星,&Zhang, X .(2011).An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows.Journal of Computational Physics,230(9),3479-3499.
王士召,et al."An immersed boundary method based on discrete stream function formulation for two- and three-dimensional incompressible flows".Journal of Computational Physics 230.9(2011):3479-3499.