A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids
A general reconstruction algorithm for simulating flows with complex 3D immersed boundaries on Cartesian grids
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DOI：
10.1016/s0021-9991(03)00321-8
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发表时间：
2003-11-01
影响因子：
4.1
通讯作者：
Balaras, E
中科院分区：
文献类型：
--
作者：
Gilmanov, A;Sotiropoulos, F;Balaras, E
本文提出了一种在直角坐标网格上模拟具有复杂浸入边界的不可压流动的通用重构算法。在所提出的方法中，一个任意的三维固体表面浸没在流体离散使用非结构化，三角形网格，并确定所有的笛卡尔网格节点附近的接口。然后，在这些节点处的解决方案是通过线性插值沿着本地正常的身体，在压力和速度场的方式，所需的边界条件的强制执行。所得到的求解器的整体精度是二阶的，因为它是证明在两个测试用例涉及层流通过一个球体。(C)2003 Elsevier B.V.保留所有权利。
In the present note a general reconstruction algorithm for simulating incompressible flows with complex immersed boundaries on Cartesian grids is presented. In the proposed method an arbitrary three-dimensional solid surface im mersed in the fluid is discretized using an unstructured, triangular mesh, and all the Cartesian grid nodes near the interface are identified. Then, the solution at these nodes is reconstructed via linear interpolation along the local normal to the body, in a way that the desired boundary conditions for both pressure and velocity fields are enforced. The overall accuracy of the resulting solver is second-order, as it is demonstrated in two test cases involving laminar flow past a sphere. (C) 2003 Elsevier B.V. All rights reserved.