A three-dimensional immersed boundary method for non-Newtonian fluids  

作　　者：Luoding Zhu 

机构地区：[1]Department of Mathematical Sciences and Center for Mathematical Biosciences, Indiana University-Purdue University

出　　处：《Theoretical & Applied Mechanics Letters》2018年第3期193-196,共4页力学快报（英文版）

基　　金：the US National Science Foundation (DMS-1522554) for the support

摘　　要：Fluid-structure-interaction （FSI） phenomenon is common in science and engineering. The fluidinvolved in an FSI problem may be non-Newtonian such as blood. A popular framework for FSIproblems is Peskin’s immersed boundary （IB） method. However, most of the IB formulations arebased on Newtonian fluids. In this letter, we report an extension of the IB framework to FSIinvolving Oldroyd-B and FENE-P fluids in three dimensions using the lattice Boltzmann approach.The new method is tested on two FSI model problems. Numerical experiments show that themethod is conditionally stable and convergent with the first order of accuracy.Fluid-structure-interaction （FSI） phenomenon is common in science and engineering. The fluidinvolved in an FSI problem may be non-Newtonian such as blood. A popular framework for FSIproblems is Peskin’s immersed boundary （IB） method. However, most of the IB formulations arebased on Newtonian fluids. In this letter, we report an extension of the IB framework to FSIinvolving Oldroyd-B and FENE-P fluids in three dimensions using the lattice Boltzmann approach.The new method is tested on two FSI model problems. Numerical experiments show that themethod is conditionally stable and convergent with the first order of accuracy.

关 键 词：Immersed boundary method Lattice Boltzmann method Fluid-structure-interaction Non-Newtonian fluid Oldroyd-BFENE-P 

分 类 号：O373[理学—流体力学]