Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
- Авторлар: Nikitin K.1, Novikov K.1,2, Vassilevski Y.1,2,3
-
Мекемелер:
- Institute of Numerical Mathematics
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology
- Шығарылым: Том 37, № 5 (2016)
- Беттер: 570-581
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198284
- DOI: https://doi.org/10.1134/S1995080216050097
- ID: 198284
Дәйексөз келтіру
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.
Негізгі сөздер
Авторлар туралы
K. Nikitin
Institute of Numerical Mathematics
Хат алмасуға жауапты Автор.
Email: Nikitin.Kira@gmail.com
Ресей, ul. Gubkina 8, Moscow, 119333
K. Novikov
Institute of Numerical Mathematics; Lomonosov Moscow State University
Email: Nikitin.Kira@gmail.com
Ресей, 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
Ресей, ul. Gubkina 8, Moscow, 119333; GSP-1, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700