基于超网格的重叠网格守恒插值方法

崔鹏程; 唐静; 李彬; 马明生; 邓有奇

doi:10.7527/S1000-6893.2017.21569

航空学报 >

2018 , Vol. 39 >Issue 3: 121569 - 121569

DOI: https://doi.org/10.7527/S1000-6893.2017.21569

流体力学与飞行力学

基于超网格的重叠网格守恒插值方法

崔鹏程 ,
唐静 ,
李彬 ,
马明生 ,
邓有奇

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中国空气动力研究与发展中心计算空气动力研究所, 绵阳 621000

收稿日期: 2017-07-03

修回日期: 2017-10-10

网络出版日期: 2017-10-10

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A conservative interpolation method for overset mesh via super mesh

CUI Pengcheng ,
TANG Jing ,
LI Bin ,
MA Mingsheng ,
DENG Youqi

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Computational Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China

Received date: 2017-07-03

Revised date: 2017-10-10

Online published: 2017-10-10

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摘要

保证重叠网格边界数据插值的守恒性是计算流体力学面临的一大难题。基于超网格方法与格心格式有限体积法，发展了一种新型混合重叠网格守恒插值方法。详细研究了用网格切割技术在重叠网格边界构造局部超网格，用网格求交算法合理地扩大贡献单元模板，建立了一种适用于任意网格类型的隐式并行重叠网格守恒插值方法，以超网格为媒介可实现重叠网格二阶精度的守恒插值。数值结果表明，本文方法对二阶分布的流场变量具有严格的守恒性，相比三线性插值方法和逆向距离权插值方法，本文方法减小了数值误差，提高了重叠网格边界的插值精度，加快了计算收敛速度，改善了重叠区域网格尺度相差较大时流场的光滑性和连续性。

关键词： 超网格; 重叠网格; 守恒插值; 插值精度; 并行计算

本文引用格式

崔鹏程 , 唐静 , 李彬 , 马明生 , 邓有奇 . 基于超网格的重叠网格守恒插值方法[J]. 航空学报, 2018 , 39(3) : 121569 -121569 . DOI: 10.7527/S1000-6893.2017.21569

Abstract

Conservative interpolation of the overset mesh interface is still a challenge for CFD. Based on the supermesh technology and the centre-based finite volume method, a new conservative interpolation method for the hybrid overset mesh is developed. The cell-cut algorithm is used to build the local supermesh in the overset grid interface, and the mesh intersection method is employed to expand the number of donor cells reasonably. Then, a conservative interpolation method which applies implicit parallel algorithm is built, which is suitable for arbitrary polyhedral grids. Flow field variables can be interpolated conservatively in overset meshes with second-order accuracy via the local supermesh. Numerical results show that the method proposed is strictly conservative for second-order distributed flow field variables. Compared with the trilinear interpolation method and the reverse distance-weighted interpolation method, the proposed method can reduce the numerical errors, interpolate the variables more accurately, accelerate the convergence process of the residual error, and improve the continuity and smoothness of the flow field contour when the mesh scale matches badly at the interface.

Key words： super mesh; overset mesh; conservative interpolation; interpolation accuracy; parallel computing

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