Отправить статью по E-mail Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
- Авторы: Nikitin K.1, Novikov K.1,2, Vassilevski Y.1,2,3
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Учреждения:
- Institute of Numerical Mathematics
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology
- Выпуск: Том 37, № 5 (2016)
- Страницы: 570-581
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198284
- DOI: https://doi.org/10.1134/S1995080216050097
- ID: 198284
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Аннотация
The discrete maximum principle is a meaningful requirement for numerical schemes used in multiphase flow models. It eliminates numerical pressure overshoots and undershoots, which may cause unnatural Darcy velocities and wrong numerical saturations. In this paper we study the application of the nonlinear finite volume method with discrete maximum principle [1] to the two-phase flow model. The method satisfies the discrete maximum principle for numerical pressures of incompressible fluids with neglected capillary pressure. For non-zero capillary pressure and constant phase viscosities the discrete maximum principle holds for numerical global pressure.
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K. Nikitin
Institute of Numerical Mathematics
Автор, ответственный за переписку.
Email: Nikitin.Kira@gmail.com
Россия, ul. Gubkina 8, Moscow, 119333
K. Novikov
Institute of Numerical Mathematics; Lomonosov Moscow State University
Email: Nikitin.Kira@gmail.com
Россия, ul. Gubkina 8, Moscow, 119333; GSP-1, Moscow, 119991
Y. Vassilevski
Institute of Numerical Mathematics; Lomonosov Moscow State University; Moscow Institute of Physics and Technology
Email: Nikitin.Kira@gmail.com
Россия, ul. Gubkina 8, Moscow, 119333; GSP-1, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700
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