DEVELOPMENT OF A VIRTUAL NUMERICAL LABORATORY FOR EARTH-PLANETARY FLUID DYNAMICS USING SPECTRAL METHODS

使用光谱方法开发地球-行星流体动力学虚拟数值实验室

基本信息

批准号：
15607004
负责人：
ISHIOKA Keiichi
金额：
$ 2.24万
依托单位：
KYOTO UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2003
资助国家：
日本
起止时间：
2003 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-15607004/
关键词：
EARTH-PLANETARY FLUID SPECTRAL METHOD NUMERICAL CALCULATION VIRTUAL NUMERICAL LABORATORY INFINITE DOMAIN SHALLOW WATER EQUATION GRAVITY WAVE DISK DOMAIN Jacobi多項式極座標

项目摘要

The research was accomplished aiming to construct a virtual "numerical laboratory" of earth planetary fluid in the Internet.As for the development of necessary spectral methods, a new spectral method was developed for shallow water equations on a disk, the details of which are published as two original papers. This method uses Jacobi polynomials as a basis of expansion to avoid the singularity at the origin which often appears when the polar coordinate is adopted. The novelty of the method is in expanding vector fields directly.In addition, new spectral methods for 1d/2d infinite domains are developed, and the paper is being prepared now. By using this technique, numerical experiments of gravity wave radiation from an unstable jet in a shallow water system are conducted. The parameter dependency of the gravity waves are examined, and it is contributing as a submitted paper. The developed numerical library is distributed freely as http://www.gfd-dennou.org/arch/ispack/ispack-0.62beta.tar.gz. Furthermore, the first textbook for spectral methods in Japanese is published based on the experiences in the development of the numerical library.To provide the virtual laboratory environment, a firm web server is newly started up, which maintains not only the source code of a series of developed spectral models for the earth planetary fluid calculation and the explanation, but also the execution result of a typical exercise. The contents are distributed freely as http://www.gfd-dennou.org/arch/spmodel/.

这项研究的目的是为了在互联网中构建地球行星流体的虚拟“数值实验室”。为了开发必要的光谱方法，开发了一种新的光谱方法，用于磁盘上的浅水方程，其细节已发布。作为两个原始论文。该方法使用雅各比多项式作为扩展的基础，以避免在采用极性坐标时通常会出现的奇异性。该方法的新颖性在于直接扩展矢量场。加上，开发了1D/2D无限域的新光谱方法，现在正在准备纸张。通过使用此技术，进行了从浅水系统中不稳定射流的重力波辐射的数值实验。检查重力波的参数依赖性，并作为提交的纸张做出了贡献。开发的数值库以http://www.gfd-dennou.org/arch/ispack/ispack/ispack-0.62beta.tar.gz自由分发。此外，根据数值库的开发经验发布了日语中光谱方法的第一本教科书。为了提供虚拟实验室环境，刚刚启动了一个公司的Web服务器，该服务器不仅维护了系列的源代码地球行星流体计算和解释的开发光谱模型，以及典型练习的执行结果。内容以http://www.gfd-dennou.org/arch/arch/spmodel/自由分发。