ACTA AERONAUTICAET ASTRONAUTICA SINICA >
Applications of shock-fitting technique for compressible flow in cell-centered finite volume methods
Received date: 2017-04-27
Revised date: 2017-06-26
Online published: 2017-06-26
Supported by
National Natural Science Foundation of China (91541117)
A shock-fitting technique for cell-centered Finite Volume Method (FVM) is developed in this work. It is flexible to switch among shock-fitting and shock-capturing methods by changing the nature of grid nodes, which are defined as shock nature and common nature. In the shock-fitting method, velocities of shock nodes and downstream states are obtained by solving Rankine-Hugoniot (R-H) relations. The unstructured dynamic grid technique is used for shock tracking and updating the positions of other common nodes. The flux across a shock face equals the basic flux of its upstream cell. During the computational process, the nature of the nodes is allowed to change. Thus, it is easier to apply this method in complex problems, even with topological change. The numerical results show the proposed method is not only of high accuracy, but also able to avoid the troubles in shock-capturing.
ZOU Dongyang , LIU Jun , ZOU Li . Applications of shock-fitting technique for compressible flow in cell-centered finite volume methods[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2017 , 38(11) : 121363 -121363 . DOI: 10.7527/S1000-6893.2017.121363
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