Fitting algorithms for three dimensional flows with shock waves

ZOU Dongyang; LIN Jingzhou; HUANG Jie; LIU Jun

doi:10.7527/S1000-6893.2020.24141

ACTA AERONAUTICAET ASTRONAUTICA SINICA >

2021 , Vol. 42 >Issue 3: 124141 - 124141

DOI: https://doi.org/10.7527/S1000-6893.2020.24141

Fluid Mechanics and Flight Mechanics

Fitting algorithms for three dimensional flows with shock waves

ZOU Dongyang ,
LIN Jingzhou ,
HUANG Jie ,
LIU Jun

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1. Hypervelocity Aerodynamics Institute, China Aerodynamics Research and Development Center, Mianyang 621000, China;
2. School of Aeronautics and Astronautics, Dalian University of Technology, Dalian 116024, China

Received date: 2020-04-27

Revised date: 2020-07-13

Online published: 2020-08-03

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Abstract

A three dimensional shock-fitting technique based on unstructured dynamic grids is proposed in this work. In this algorithm, the shock front comprises a series of grid nodes labeled as shock points which have two states, with one representing the upstream of the shock wave and the other the downstream. The R-H relations are solved using these two states on a shock point to obtain the velocity of the shock point. The use of unstructured dynamic grids enables the shock front to move in a large range, decreasing the requirement of the initial shock position. The shocks are labeled by the definition of grid nodes rather than using internal boundaries between different subdomains to improve the flexibility of fitting shock waves. The reliability of the proposed algorithm is proven by a test case of hypersonic flow past a hemisphere-cylinder, followed by the study of three-dimensional shock reflection and shock-shock interactions to solve the relatively complex shock interaction problems in three dimensional shock-fitting. To guarantee the compatibility of the shock point motion and the flow field, usable methods to determine the velocity of three dimensional shock interaction points are obtained, therefore ensuring the achievement of convergence shock-fitting results by this shock-fitting technique.

Key words： three dimensional shock-fitting; three dimensional shock interactions; unstructured dynamic grids; finite volume methods; supersonic flows

Cite this article

ZOU Dongyang , LIN Jingzhou , HUANG Jie , LIU Jun . Fitting algorithms for three dimensional flows with shock waves[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2021 , 42(3) : 124141 -124141 . DOI: 10.7527/S1000-6893.2020.24141

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