Mathematical modeling for multi-scale flows in porous media

2017 Fiscal Year Final Research Report

• Project/Area Number: 16K13776
• Research Category: Grant-in-Aid for Challenging Exploratory Research
• Allocation Type: Multi-year Fund
• Research Field: Foundations of mathematics/Applied mathematics
• Research Institution: Tohoku University (2017); Okayama University (2016)
• Principal Investigator: SUITO Hiroshi 東北大学, 材料科学高等研究所, 教授 (10302530)
• Research Collaborator: SUZUKI Kazuyuki 岡山大学, 大学院環境生命科学研究科 (70379824)
• Project Period (FY): 2016-04-01 – 2018-03-31
• Keywords: 多孔性媒質 / 数値シミュレーション

Outline of Final Research Achievements

In this study, flow in porous media has been considered. Flow in porous media arises in a lot of situations such as flows in biotissues, flows through forests, flows in lakes with vegetation and so on. In porous media, micro-scale structures of pores affect to the flow in the macro-scale. This kind of multi-scale problems is rather difficult for mathematical modeling and numerical simulations. In this study, flows through narrow gaps between small spheres and flows in homogeneous medium with constant drag force are simulated and compared.

Free Research Field

応用数学