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Volume 28, Issue 2
Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)

Chengliang Feng, Tiegang Liu, Liang Xu & Changsheng Yu

DOI: 10.4208/cicp.OA-2019-0056

Commun. Comput. Phys., 28 (2020), pp. 621-660.

Published online: 2020-06

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  • 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.

  • Keywords

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

  • AMS Subject Headings

35L65, 35L67, 65N85, 76T10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CiCP-28-621, author = {Feng , ChengliangLiu , TiegangXu , Liang and Yu , Changsheng}, title = {Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC)}, journal = {Communications in Computational Physics}, year = {2020}, volume = {28}, number = {2}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0056}, url = {http://global-sci.org/intro/article_detail/cicp/16943.html} }
TY - JOUR T1 - Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC) AU - Feng , Chengliang AU - Liu , Tiegang AU - Xu , Liang AU - Yu , Changsheng JO - Communications in Computational Physics VL - 2 SP - 621 EP - 660 PY - 2020 DA - 2020/06 SN - 28 DO - http://doi.org/10.4208/cicp.OA-2019-0056 UR - https://global-sci.org/intro/article_detail/cicp/16943.html KW - Multi-medium compressible flow, axisymmetric flow, ghost fluid method, modified ghost fluid method, generalized multi-medium Riemann problem. AB -

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.

Feng , ChengliangLiu , TiegangXu , Liang and Yu , Changsheng. (2020). Modified Ghost Fluid Method with Axisymmetric Source Correction (MGFM/ASC). Communications in Computational Physics. 28 (2). 621-660. doi:10.4208/cicp.OA-2019-0056
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