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Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

Year:    2020

Author:    Chengliang Feng, Tiegang Liu, Liang Xu, Changsheng Yu

Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 621–660

Abstract

In this work, we show that the modified ghost fluid method might suffer pressure mismatch at material interfaces and thus leads to inaccurate numerical results when directly applied to long term simulations of multi-medium flow problems with an axisymmetric source term. We disclose the underlying reason and then develop a technique of linear distribution to take into account the effect of the axisymmetric source on the definition of ghost fluid states. In order to faithfully consider the effect of the source term, the interfacial conditions related to derivatives are derived and linear distributions of ghost fluid states are constructed based on a generalized axisymmetric multi-medium Riemann problem. Theoretical analysis and numerical results show that the modified ghost fluid method with axisymmetric source correction (MGFM/ASC) can effectively eliminate the pressure error.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.OA-2019-0056

Communications in Computational Physics, Vol. 28 (2020), Iss. 2 : pp. 621–660

Published online:    2020-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    40

Keywords:    Multi-medium compressible flow axisymmetric flow ghost fluid method modified ghost fluid method generalized multi-medium Riemann problem.

Author Details

Chengliang Feng Email

Tiegang Liu Email

Liang Xu Email

Changsheng Yu Email

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