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Research and development on computing schemes for systems including liquid flows

含液体流动系统计算方案的研究与开发

基本信息

批准号：
14540098
负责人：
KAIZU Satoshi
金额：
$ 2.18万
依托单位：
IBARAKI UNIVERSITY
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2002
资助国家：
日本
起止时间：
2002 至 2004
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-14540098/
关键词：
Two layer flows Optimal shape problems Reynold number Tracking of interface Asymptotic expansion of elastic waves Multi mesh method Computation using an arbitrary length of digits 散乱波有限要素法ナビェ・ストークス方程式メッシュ・フリー法移動界面問題形状同定問題多流

项目摘要

1.Scheme for liquid flows(1)Already, there exists a scheme for multi-flows using finite element of low order degree of polynomials obtained by one of investigator together with other researcher, so it is needed to construct a new scheme for the same target using more higher order polynomials. It is done by a report written by Kaizu.(2)Characteristic method is applied to pursuit liquid flow particles, also interface of two flows are computed in a successful way (Fujima).(3)Optimal problems are considered for a system including liquid flows, including heat fields. Then in computation the shape of bodies are changed so nicely (Azegami)2.Elastic wavesElastic waves are considered in the case of the Neumann boundary, a scattering theory of Lax and Phillips, And the scattering kernel of the Majda type are considered. Some difficulty is solved in this situation (Soga)3.General boundary value problems and their inverse problemsAn arbitrarily many mesh points method is applied to the inverse problem, which appears in solving general boundary value problems. Then this good result is applied to the inverse problem for the Laplace-Poisson equation (Onishe).

1.液体流动方案(1)已经存在由一名研究者与其他研究者共同获得的使用低阶多项式有限元的多流方案，因此需要使用更多的高阶多项式为同一目标构造新的方案。这是由 Kaizu 撰写的报告完成的。（2）应用特征方法来追踪液体流动粒子，并且成功地计算了两个流动的界面（Fujima）。（3）考虑了包含液体流动（包括热场）的系统的优化问题。然后在计算中物体的形状会发生很好的变化（Azegami）2.弹性波在Neumann边界的情况下考虑弹性波，Lax和Phillips的散射理论，并考虑Majda型的散射核。在这种情况下解决了一些困难（Soga）3.一般边值问题及其反问题将任意多个网格点方法应用于反问题，这出现在求解一般边值问题中。然后将这一良好结果应用于拉普拉斯-泊松方程（Onishe）的反演问题。