ANovel Immersed Boundary Method Implemented by Imposing Reconstructed Velocity on Virtual Boundary
作者机构：Department of AerodynamicsNanjing University of Aeronautics and AstronauticsNanjingJiangsu 210016China
出 版 物：《Advances in Applied Mathematics and Mechanics》 (应用数学与力学进展（英文）)
年 卷 期：2021年第13卷第1期
页 面：83-100页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by National Natural Science Foundation of China under Grant No.11972191
主 题：Immersed boundary method boundary condition convergence rate solution reconstruction.
摘 要：In this paper,a novel immersed boundary method is presented for simulating incompressible flows governed by Navier-Stokes equations.A virtual boundary is formed by the cell edges(for two-dimensional cases)in the vicinity of the immersed *** the domain with the virtual boundary,the governing equations can be solved in the conventional *** velocity is imposed on the virtual boundary,which is determined via the interpolation along the direction normal to the wall and in conjunction with the no-slip condition for the actual ***freshly cleared nodeson the virtual boundary encountered in moving-boundary problems,pressure at the previous time step is reconstructed by solving the local simplified momentum *** the test case for an analytical solution,the local accuracy of pressure is verified to be of the second *** order to further validate the present method,various flows over the stationary and/or moving circular cylinder and NACA0012 airfoil have been *** obtained results agree well with the available numerical or experimental data in the published literatures.
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