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A dynamic structured grid generation method based on solving elliptic equations
Received date: 2016-07-21
Revised date: 2016-11-20
Online published: 2016-11-24
A simple robust structured dynamic grid generation method based on the solution of elliptic partial differential equations is developed for computing the unsteady flows with moving boundaries. In the method, the source terms of the Poisson equation which can control the spacing and the orthogonality of the grid are inherited from the known static grid, and held fixed throughout the process of dynamic grid generation. With the process, the outer iterations for determining the source terms usually needed in the elliptic grid generation can thus be saved, and no adjustable parameters are required to be prescribed. This makes the method more efficient and easy to implement in an existing CFD code. The numerical results demonstrate that the proposed method can provide an efficient way of deforming the grid based on solving elliptic partial differential equations. The orthogonality and smoothness of original static grid can be maintained well by the proposed method. When the same number of iterations are given as the constraint condition, the grid generation efficiency of the method is lower than that of the spring analogy, but the robustness of the method is superior to the spring analogy.
LU Fengling , CHEN Xiaoqian , YU Caihui , MIAO Meng . A dynamic structured grid generation method based on solving elliptic equations[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(3) : 120632 -120632 . DOI: 10.7527/S1000-6893.2016.0303
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