The development of solution methods on electro-magnetic fields, sound fields and related coupled systems by means of domain decomposition method and optimization theory

本研究项目旨在开发解决方法，以分析环境问题中出现的复杂现象，人体内的液体流动。（1）由Hideo Kawarada和他的合作者开发的用于分析在相之间的边界处相互作用的多相流的多相流分布理论方法（DTAMF），该方法有效地用于计算在潮滩附近出现的流问题，包括海滩上和土壤中的空气流，海滩上和土壤中的海水流，把石油洒在海滩和土地上。特别值得注意的是，溢油的细菌分解和石油在桑迪海滩上的粘附现象的模拟使用DTAMF中得到的结果。DTAMF还被应用于分析流体流过脊髓附近复杂结构的运动。（2）广岛大学的研究小组从环境实验的角度讨论了在决定海岸生态系统中物种生存的海水中，桑迪海滩或潮滩边缘的波浪的作用。我们试图通过构建一个与破碎波和生态系统动力学相联系的数学模型来解释这一实验结果，其中相场模型和遗传算法发挥了重要作用。基于这一思想进行了数值模拟。

This research project intended to develop solution methods to analyze complex phenomena arising in environmental problems, flow of liquids in human body.(1)The Distribution Theoretic Approach to Multi-phase Flow (DTAMF) developed by Hideo Kawarada and his collaborators to analyze multi-phase flow interacting each other at the boundary between phases, which was effectively used to compute the flow problems arising in the neighborhood of tidal flats including the flows of air on the beach and in the earth, sea water on the beach and in the earth, and spilled oil on the beach and in the earth. Especially it should be noted that decomposition of spilled oil by bacteria and adhesive phenomena of oil on a sandy beach were simulated by use of the results obtained in DTAMF. DTAMF was also applied to analyze the motion of liquids to flow through complex structure near the spinal cord.(2)The role of waves at margins of sandy beach or a tidal flat to sea water for determination of species survival in a coastal ecosystem was discussed from a view point of environmental experiments by the group of Hiroshima University. We tried to interpret this experimental result by constructing a mathematical model connected with breaking waves and ecosystem dynamics, in which a phase field model and genetic algorithm played important roles. The numerical simulation was done due to this idea.