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Volume 14, Issue 4
A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State

Meiyan Fu & Tiao Lu

Numer. Math. Theor. Meth. Appl., 14 (2021), pp. 1110-1135.

Published online: 2021-09

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  • Abstract

A general one-fluid cavitation model is proposed for a family of Mie-Grüneisen equations of state (EOS), which can provide a wide application of cavitation flows, such as liquid-vapour transformation and underwater explosion. An approximate Riemann problem and its approximate solver for the general cavitation model are developed. The approximate solver, which provides the interface pressure and normal velocity by an iterative method, is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian grids. Several numerical examples, including Riemann problems and underwater explosion applications, are presented to validate the cavitation model and the corresponding approximate solver.

  • AMS Subject Headings

76L05, 76T30, 74H15, 68U20, 47E05

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COPYRIGHT: © Global Science Press

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@Article{NMTMA-14-1110, author = {Fu , Meiyan and Lu , Tiao}, title = {A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State}, journal = {Numerical Mathematics: Theory, Methods and Applications}, year = {2021}, volume = {14}, number = {4}, pages = {1110--1135}, abstract = {

A general one-fluid cavitation model is proposed for a family of Mie-Grüneisen equations of state (EOS), which can provide a wide application of cavitation flows, such as liquid-vapour transformation and underwater explosion. An approximate Riemann problem and its approximate solver for the general cavitation model are developed. The approximate solver, which provides the interface pressure and normal velocity by an iterative method, is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian grids. Several numerical examples, including Riemann problems and underwater explosion applications, are presented to validate the cavitation model and the corresponding approximate solver.

}, issn = {2079-7338}, doi = {https://doi.org/10.4208/nmtma.OA-2021-0031}, url = {http://global-sci.org/intro/article_detail/nmtma/19532.html} }
TY - JOUR T1 - A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State AU - Fu , Meiyan AU - Lu , Tiao JO - Numerical Mathematics: Theory, Methods and Applications VL - 4 SP - 1110 EP - 1135 PY - 2021 DA - 2021/09 SN - 14 DO - http://doi.org/10.4208/nmtma.OA-2021-0031 UR - https://global-sci.org/intro/article_detail/nmtma/19532.html KW - Multi-phase flow, one-fluid cavitation model, approximate Riemann solver, Mie-Grüneisen EOS, underwater explosion. AB -

A general one-fluid cavitation model is proposed for a family of Mie-Grüneisen equations of state (EOS), which can provide a wide application of cavitation flows, such as liquid-vapour transformation and underwater explosion. An approximate Riemann problem and its approximate solver for the general cavitation model are developed. The approximate solver, which provides the interface pressure and normal velocity by an iterative method, is applied in computing the numerical flux at the phase interface for our compressible multi-medium flow simulation on Eulerian grids. Several numerical examples, including Riemann problems and underwater explosion applications, are presented to validate the cavitation model and the corresponding approximate solver.

Meiyan Fu & Tiao Lu. (2021). A General Cavitation Model for the Highly Nonlinear Mie-Grüneisen Equation of State. Numerical Mathematics: Theory, Methods and Applications. 14 (4). 1110-1135. doi:10.4208/nmtma.OA-2021-0031
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