Nonlinear finite volume method with discrete maximum principle for the two-phase flow model
- 作者: Nikitin K.1, Novikov K.1,2, Vassilevski Y.1,2,3
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隶属关系:
- Institute of Numerical Mathematics
- Lomonosov Moscow State University
- Moscow Institute of Physics and Technology
- 期: 卷 37, 编号 5 (2016)
- 页面: 570-581
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/198284
- DOI: https://doi.org/10.1134/S1995080216050097
- ID: 198284
如何引用文章
详细
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.
作者简介
K. Nikitin
Institute of Numerical Mathematics
编辑信件的主要联系方式.
Email: Nikitin.Kira@gmail.com
俄罗斯联邦, ul. Gubkina 8, Moscow, 119333
K. Novikov
Institute of Numerical Mathematics; Lomonosov Moscow State University
Email: Nikitin.Kira@gmail.com
俄罗斯联邦, 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
俄罗斯联邦, ul. Gubkina 8, Moscow, 119333; GSP-1, Moscow, 119991; Institutskii per. 9, Dolgoprudny, Moscow oblast, 141700