A paper authored by Professor YAZAKI Shigetoshi and SHIMOJI Yusaku (YAZAKI Laboratory, completed the doctoral course in the Mathematics Program in March 2023) in the Mathematics Program at the Graduate School of Science and Technology won the Paper Award (JSIAM Letters category) at the 2024 Annual Meeting of the Japan Society for Industrial and Applied Mathematics.
The Paper Award is given to the author of a particularly outstanding paper selected from papers published in JSIAM Letters.
The paper verifies that the suppression of instability of the interface by the effect of a magnetic field suggested by Miranda-Oliveira can occur by applying numerical computation using the method of fundamental solutions (MFS) to the mathematical model of magnetic fluid in the Hele-Shaw cell, where the cell spacing changes with time. Although the application of MFS to the Hele-Shaw problem has already been studied, the authors apply, in the paper, MFS to a system with time-dependent cell spacing to achieve high-precision volume conservation and further discuss it by giving an index of instability based on comparison with a linearized problem. The obtained results are an important step toward understanding and controlling the effect of a magnetic field on the instability of interface shape, and future studies are expected to validate the theoretical analysis and the numerical scheme.
【Title】
Numerical computation for magnetic Hele-Shaw problem using the method of fundamental solutions, JSIAM Letters vol.15 pp.29-32, 2023
【Author】
Yusaku Shimoji, Shigetoshi Yazaki
