JAXA Repository / AIREX 未来へ続く、宙(そら)への英知
titleスカラー保存則の保存型差分近似の数値粘性とエントロピー条件適合性
Other TitleEntropy consistency of difference approximation of scalar conservation laws
DOIinfo:doi/10.20637/JAXA-RR-16-013/0001
Author(jpn)相曽, 秀昭
Author(eng)Aiso, Hideaki
Author Affiliation(jpn)宇宙航空研究開発機構航空技術部門数値解析技術研究ユニット(JAXA)
Author Affiliation(eng)Numerial Simulation Research Unit, Aeronautical Technology Directorate, Japan Aerospace Exploration Agency (JAXA)
Issue Date2017-03-31
Publisher宇宙航空研究開発機構(JAXA)
Japan Aerospace Exploration Agency (JAXA)
Publication title宇宙航空研究開発機構研究開発報告
JAXA Research and Development Report
VolumeJAXA-RR-16-013
Start page1
End page26
Publication date2017-03-31
Languagejpn
eng
Abstractスカラー保存則の差分近似について論じる。差分近似の理論的考察の中で近似解の厳密解への収束は主要な部分を占めるものである。ここでは、近似解がスカラー保存則の物理的に妥当な厳密解に収束するための数値粘性係数の範囲を定める定理を最終的な目標とするが、保存則の差分近似に関する数学的議論に詳しくなくても定理の意義を理解できるように基本的な事項から解説を進める。
We are concerned with difference approximation of scalar conservation laws. The convergence of approximate solution obtained by difference approximation is one of the main interests in the theory of difference approximation. We discuss the range of numerical viscosity coefficients that arrows the convergence to the entropy solution in the case of 3-stencil difference scheme in conservation form. The main theorem is one of the most optimal results of this kind of discussion. The aim of report is to explain the main theorem and related things from the viewpoint of numerical computation.
Description形態: 図版あり
Physical characteristics: Original contains illustrations
Keywordsスカラー保存則; 差分近似; 適合性; 数値粘性; エントロピー条件; Scalar Conservation Law; Difference Approximation; Consistency; Numerical Viscosity; Entropy Condition
Document TypeTechnical Report
JAXA Category研究開発報告
NASA Subject CategoryFluid Mechanics and Thermodynamics
ISSN1349-1113
NCIDAA1192675X
SHI-NOAA1630053000
Report NoJAXA-RR-16-013
URIhttps://repository.exst.jaxa.jp/dspace/handle/a-is/611131


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