Immersed boundary method combined with a high order compact scheme on half-staggered meshes

21st Fluid Mechanics Conference

物理学;力学

Ksie¸zyk, M.^1 ; Tyliszczak, A.^1

Czestochowa University of Technology, Institute of Thermal Machinery, Al. AK 21, 42-200 Cze¸stochowa, Poland^1

关键词: Computational mesh;    Flow over a backward facing steps;    High-order compact scheme;    Immersed boundary methods;    Predictor-corrector methods;    Solution algorithms;    Time discretization;    Velocity components;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/530/1/012066/pdf
DOI  :  10.1088/1742-6596/530/1/012066

学科分类：力学，机械学

来源: IOP

【 摘 要 】

This paper presents the results of computations of incompressible flows performed with a high-order compact scheme and the immersed boundary method. The solution algorithm is based on the projection method implemented using the half-staggered grid arrangement in which the velocity components are stored in the same locations while the pressure nodes are shifted half a cell size. The time discretization is performed using the predictor-corrector method in which the forcing terms used in the immersed boundary method acts in both steps. The solution algorithm is verified based on 2D flow problems (flow in a lid-driven skewed cavity, flow over a backward facing step) and turns out to be very accurate on computational meshes comparable with ones used in the classical approaches, i.e. not based on the immersed boundary method.