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A simplified approach for simulations of multidimensional compressible multicomponent flows: the grid-aligned ghost fluid method

Bempedelis, N; Ventikos, Y; (2020) A simplified approach for simulations of multidimensional compressible multicomponent flows: the grid-aligned ghost fluid method. Journal of Computational Physics , 405 , Article 109129. 10.1016/j.jcp.2019.109129. Green open access

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Abstract

In the present work the authors present a simplified formulation for the extension of a ghost fluid method in multidimensional space. In the proposed method, the Riemann problems at the interface are formulated along the grid rather than in a normal to the interface direction. The information that is required to construct these Riemann problems is acquired “on-the-fly” from the adjacent to the interface cells. With respect to existing multidimensional ghost fluid formulations, the method is computationally less expensive, as the procedures of determining ghost fluid regions, extending, interpolating and extrapolating variables and computing geometrical quantities are avoided. More importantly, it is markedly simple with respect to its implementation. By introducing the proposed formulation in a well-established front tracking framework we perform an extensive validation of the method and demonstrate that despite its simplicity it yields highly accurate results while remaining free of oscillations.

Type: Article
Title: A simplified approach for simulations of multidimensional compressible multicomponent flows: the grid-aligned ghost fluid method
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jcp.2019.109129
Publisher version: https://doi.org/10.1016/j.jcp.2019.109129
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Front tracking, Compressible flows, Multimaterial flows, Ghost fluid method
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Mechanical Engineering
URI: https://discovery.ucl.ac.uk/id/eprint/10088171
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