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Volume 27, Issue 5
A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations

Mathilde Tavares, Désir-André Koffi-Bi, Eric Chénier & Stéphane Vincent

DOI: 10.4208/cicp.OA-2019-0028

Commun. Comput. Phys., 27 (2020), pp. 1550-1589.

Published online: 2020-03

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  • Abstract

A two-dimensional front-tracking method is developed for handling complex shape interfaces satisfying the volume conservation. In order to validate the proposed front-tracking method, a complete convergence study is carried out on several analytical test cases for which the interface is widely stretched and deformed. Comparisons to different existing approaches show that our front-tracking method is second order accurate in space with lower errors than existing interface tracking techniques of the literature.
We also propose an original marker advection method which takes into account the jump relations valid at interface in order to deal with the contrast of physical properties encountered in two-phase flow simulations. The conservative front-tracking method computed in this work is shown to be able to describe interfaces with high accuracy even for poorly resolved Eulerian grids.

  • Keywords

Front-tracking, marker velocity reconstruction based on jump relations, multiphase flow, volume conservation, second order accuracy.

  • AMS Subject Headings

76

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address

mathilde.tavares@u-pem.fr (Mathilde Tavares)

desir-andre.koffibi@u-pem.fr (Désir-André Koffi-Bi)

eric.chenier@u-pem.fr (Eric Chénier)

stephane.vincent@u-pem.fr (Stéphane Vincent)

  • BibTex
  • RIS
  • TXT
@Article{CiCP-27-1550, author = {Tavares , MathildeKoffi-Bi , Désir-AndréChénier , Eric and Vincent , Stéphane}, title = {A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations}, journal = {Communications in Computational Physics}, year = {2020}, volume = {27}, number = {5}, pages = {1550--1589}, abstract = {

A two-dimensional front-tracking method is developed for handling complex shape interfaces satisfying the volume conservation. In order to validate the proposed front-tracking method, a complete convergence study is carried out on several analytical test cases for which the interface is widely stretched and deformed. Comparisons to different existing approaches show that our front-tracking method is second order accurate in space with lower errors than existing interface tracking techniques of the literature.
We also propose an original marker advection method which takes into account the jump relations valid at interface in order to deal with the contrast of physical properties encountered in two-phase flow simulations. The conservative front-tracking method computed in this work is shown to be able to describe interfaces with high accuracy even for poorly resolved Eulerian grids.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.OA-2019-0028}, url = {http://global-sci.org/intro/article_detail/cicp/15769.html} }
TY - JOUR T1 - A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations AU - Tavares , Mathilde AU - Koffi-Bi , Désir-André AU - Chénier , Eric AU - Vincent , Stéphane JO - Communications in Computational Physics VL - 5 SP - 1550 EP - 1589 PY - 2020 DA - 2020/03 SN - 27 DO - http://doi.org/10.4208/cicp.OA-2019-0028 UR - https://global-sci.org/intro/article_detail/cicp/15769.html KW - Front-tracking, marker velocity reconstruction based on jump relations, multiphase flow, volume conservation, second order accuracy. AB -

A two-dimensional front-tracking method is developed for handling complex shape interfaces satisfying the volume conservation. In order to validate the proposed front-tracking method, a complete convergence study is carried out on several analytical test cases for which the interface is widely stretched and deformed. Comparisons to different existing approaches show that our front-tracking method is second order accurate in space with lower errors than existing interface tracking techniques of the literature.
We also propose an original marker advection method which takes into account the jump relations valid at interface in order to deal with the contrast of physical properties encountered in two-phase flow simulations. The conservative front-tracking method computed in this work is shown to be able to describe interfaces with high accuracy even for poorly resolved Eulerian grids.

Tavares , MathildeKoffi-Bi , Désir-AndréChénier , Eric and Vincent , Stéphane. (2020). A Two-Dimensional Second Order Conservative Front-Tracking Method with an Original Marker Advection Approach Based on Jump Relations. Communications in Computational Physics. 27 (5). 1550-1589. doi:10.4208/cicp.OA-2019-0028
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