A Divergence-Free Immersed Boundary Method and Its Finite Element Applications

被引:3
作者
Zhou, Chuan [1 ]
Li, Jianhua [1 ]
Wang, Huaan [2 ]
Mu, Kailong [3 ]
Zhao, Lanhao [3 ]
机构
[1] Elect Power Design Inst Co Ltd, China Energy Engn Grp Guangdong, Guangzhou, Peoples R China
[2] Surveying Engn Co Ltd, Guangdong Kenuo, Guangzhou, Peoples R China
[3] Hohai Univ, Coll Water Conservancy & Hydropower Engn, Nanjing, Peoples R China
基金
中国博士后科学基金; 国家重点研发计划;
关键词
immersed boundary method; iterative scheme; divergence-free; finite element framework; CIRCULAR-CYLINDER; FLOW; FLUID; SIMULATION; SCHEME; WAKE;
D O I
10.1017/jmech.2020.23
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
In order to maintain the no-slip condition and the divergence-free property simultaneously, an iterative scheme of immersed boundary method in the finite element framework is presented. In this method, the Characteristic-based Split scheme is employed to solve the momentum equations and the formulation for the pressure and the extra body force is derived according to the no-slip condition. The extra body force is divided into two divisions, one is in relation to the pressure and the other is irrelevant. Two corresponding independent iterations are set to solve the two sections. The novelty of this method lies in that the correction of the velocity increment is included in the calculation of the extra body force which is relevant to the pressure and the update of the force is incorporated into the iteration of the pressure. Hence, the divergence-free properties and no-slip conditions are ensured concurrently. In addition, the current method is validated with well-known benchmarks.
引用
收藏
页码:901 / 914
页数:14
相关论文
共 45 条
[1]  
[Anonymous], 1996, INTERACTION MASSIVE
[2]   An immersed boundary method for incompressible flows in complex domains [J].
Azis, Mohd Hazmil Abdol ;
Evrard, Fabien ;
van Wachem, Berend .
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 378 :770-795
[3]   Immersed boundary method and lattice Boltzmann method coupled FSI simulation of mitral leaflet flow [J].
Cheng, Yongguang ;
Zhang, Hui .
COMPUTERS & FLUIDS, 2010, 39 (05) :871-881
[4]   A numerical method for solving incompressible viscous flow problems (Reprinted from the Journal of Computational Physics, vol 2, pg 12-26, 1997) [J].
Chorin, AJ .
JOURNAL OF COMPUTATIONAL PHYSICS, 1997, 135 (02) :118-125
[5]   Combined immersed-boundary finite-difference methods for three-dimensional complex flow simulations [J].
Fadlun, EA ;
Verzicco, R ;
Orlandi, P ;
Mohd-Yusof, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2000, 161 (01) :35-60
[6]   A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies:: Application to particulate flow [J].
Glowinski, R ;
Pan, TW ;
Hesla, TI ;
Joseph, DD ;
Périaux, J .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 169 (02) :363-426
[7]   MODELING A NO-SLIP FLOW BOUNDARY WITH AN EXTERNAL FORCE-FIELD [J].
GOLDSTEIN, D ;
HANDLER, R ;
SIROVICH, L .
JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 105 (02) :354-366
[8]   A simple direct-forcing immersed boundary projection method with prediction-correction for fluid-solid interaction problems [J].
Horng, Tzyy-Leng ;
Hsieh, Po-Wen ;
Yang, Suh-Yuh ;
You, Cheng-Shu .
COMPUTERS & FLUIDS, 2018, 176 :135-152
[9]   A novel iterative direct-forcing immersed boundary method and its finite volume applications [J].
Ji, C. ;
Munjiza, A. ;
Williams, J. J. R. .
JOURNAL OF COMPUTATIONAL PHYSICS, 2012, 231 (04) :1797-1821
[10]   An immersed-boundary finite-volume method for simulations of flow in complex geometries [J].
Kim, J ;
Kim, D ;
Choi, H .
JOURNAL OF COMPUTATIONAL PHYSICS, 2001, 171 (01) :132-150