﻿ 适用于混合网格重叠的线性插值方法

# 适用于混合网格重叠的线性插值方法An Linear Interpolation Method for Overset Mixed Grids Approach

Abstract: An interpolation method based on the linear reconstruction is developed for the overset mixed grids approach. The present method depends on the calculations of the values of flow variables, the gradients and the limiter functions of the fringe cells. It employs only one layer of fringe cells along the intergrid boundary to use information of all adjacent cells of its donor. The present in-terpolation method treats different cell types in the same way, so it is very simple to apply. Several numerical results demonstrate that the present method can simulate subsonic, transonic and hypersonic flows.

[1] Nakahash, K., Togash, F. and Sharov, D. (1999) An intergrid-boundary definition method for overset unstructured grid approach. AIAA-1999-3304.

[2] Benek, J.A., Steger, J.L. and Dougherty, F. (1983) A flexible grid embedding tech-nique with applications to the Euler equations. AIAA-1983-1944.

[3] Luo, H., Sharov, D. and Baum, J.D. (2001) An overlapping unstructured grid method for viscous flows. AIAA-2001- 2603.

[4] Togashi, F., Ito, Y. and Nakahashi, K. (2006) Extensions of overset unstructured grids to multiple bodies in contact. Journal of Aircraft, 43, 52-57.

[5] Takahashi, S., Monjugawa, I. and Nakahashi, K. (2006) Unsteady flow computation around moving mul-tiple bodies using overset unstructured grids. AIAA-2006-2839.

[6] 田书玲, 伍贻兆, 夏健 (2007) 用动态非结构重叠网格法模拟三维多体相对运动绕流. 航空学报, 1, 46-51.

[7] Blazek, J. (2001) Computational fluid dynamics principles and application. Elsevier Sci Ltd., Oxford.

[8] Roe, P.L. (1981) Approximate Riemann solvers, parameter vectors, and difference schemes. Journal of Computational Physics, 43, 357-372.

[9] Barth, T.J. and Jespersen, D.C. (1989) The design and application of upwind schemes on unstructured meshes. AIAA- 1989-0366.

[10] Venkatakrishnan, V. (1993) On the accuracy of limiters and convergence to steady state solutions. AIAA-1993-0880.

[11] Spalart, P.R. and Allmaras, S.R. (1992) A one-equation turbulence model for aerodynamic flows. AlAA-1992-0439.

[12] Nakayama, A., Kreplin, H.P. and Morgan, H.L. (1990) Experimental investigation of flowfield about a multielement airfoil. AIAA Journal, 28, 14-21.

[13] Anderson, W.K. and Bonhaus, D.L. (1994) An implicit upwind algorithm for computing turbulent flows on unstructured grids. Computers Fluid, 23, 1-21.

[14] Benay, R., Chanetz, B., Mangin, B. and Vandomme, L. (2006) Shockwave/transitional boundary-layer interactions in hypersonic flow. AIAA Journal, 44, 1243-1254.

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