2017 Fiscal Year Final Research Report
Development of a mesh-generator using a reaction-diffusion mechanism
| Project/Area Number |
26400213
|
|---|
| Research Category |
Grant-in-Aid for Scientific Research (C)
|
| Allocation Type | Multi-year Fund |
|---|
| Section | 一般 |
|---|
| Research Field |
Foundations of mathematics/Applied mathematics
|
|---|
| Research Institution | Musashino University (2017)
Meiji University (2014-2016) |
|---|
Principal Investigator |
|
|---|
| Project Period (FY) |
2014-04-01 – 2018-03-31
|
| Keywords | 反応拡散系 / 自己組織化 / メッシュ生成 / シミュレーション / パターン形成 |
|---|
| Outline of Final Research Achievements |
When it comes to development of computer simulation, along with improvement of computer performance, it is expanding into various fields. Under such circumstances, space discretization is essential for the simulation and its quality directly associates with accuracy of the simulation. In this study, a new method is proposed, and that is to generate mesh from the pattern which is a result of reaction‐diffusion system simulation in complicated domain, as direct application of self-organizing mechanism which pattern formation in reaction‐diffusion system has. It verified high performance of mesh generation in 2-dimensional domain, and this can be expanded into 3-dimentional, however, in order to do so, it is clear that development of theoretical study in 3-dimentional reaction‐diffusion pattern will be required.
|
| Free Research Field |
応用数学
|
