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A new type hybrid algorithm using local gridless techniques

, , , , and . Acta Aerodynamica Sinica, 26 (3): 344-348+371 (2008)

Abstract

A new type hybrid algorithm using local gridless techniques (HLG) is developed for the solution of flows over arbitrary configurations. In this approach, the flow field is basiclly discretked by Cartesian grids, and local gridless treatment is embedded in the regions adjacent to bodies. Because of Cartesian mesh's regularity and orthogonality, it not only provides an efficient mesh generation with simple implementation of numerical schemes, but also eliminates issues associated with mesh skewness and distortion, which offers the advantage of shock capturing with minimal phase error. Furthermore, local gridless techniques only require a few of points be distributed in the regions adjacent to the bodies, and so the proposed algorithm with this flexibility is well suited to arbitrary configurations. Begin with a case of ideal incompressible flow, the procedure to solve the Laplace equation as the governing equation is described in details, and the solution for flows around cylinders in rectangular channel is presented. Then, the new hybrid algorithm is further developed for solving compressible Euler equations. Identical problems such as flows across channels are numerically simulated, and comparison with traditional finite volume method (FVM) is presented. Good agreement of the captured shock waves and surface's pressure coefficients is observed, and the validity of the proposed new method is demonstrated.

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