2次元保存則の数値計算における平面波捕獲を解析するための1次元化モデルの提案

• Material Type: 文書・図像類
• Title: 2次元保存則の数値計算における平面波捕獲を解析するための1次元化モデルの提案
• Author/Editor: 相曽, 秀昭; AISO, Hideaki
• Author Heading: 相曽, 秀昭; AISO, Hideaki
• Publication, Distribution, etc.: 宇宙航空研究開発機構(JAXA)
• Publication Date: 2023-02-21
• Publication Date (W3CDTF): 2023-02-21
• Alternative Title: One-dimensionalized Model for Analyzing Planar Wave Capturing in Numerical Solution to Two-Dimensional Conservation Law
• Periodical title: 宇宙航空研究開発機構研究開発報告
• No. or year of volume/issue: JAXA-RR-22-007
• Volume: JAXA-RR-22-007
• Pages: 1-15
• ISSN (Periodical Title): EISSN : 2433-2216
• Text Language Code: jpn
• Subject Heading: 保存則; 圧縮性Euler 方程式; 有限体積法; 数値粘性; 計算格子; 波面と格子の位置関係; CFD; Numerical Analysis; Wave; Conservation Law; Numerical Viscosity; Finite Volume Method; Computational Grid; Positional Relation between Wave Surface and Grid
• Target Audience: 一般
• Note (General): We propose a one-dimensionalized model for analyzing planar wave in numerical solution to two-dimensional scalar conservation law. It is well known empirically that wave capturing, especially shock wave capturing, in numerical solution to multi-dimensional conservation law is often smeared when the wave surface is oblique to the axes of grid coordinate system, where the usage of finite volume method over structured grid, especially cartesian grid, is assumed. It has been said, just intuitively without strict theoretical analysis, that the so-called “numerical viscosity” would have some relation with the smearing effect above. But there has been no method to have quantative discussion on the numerical viscosity in such a situation. In this article, we propose a one-dimensionalized model to discuss and analyze the effect of numerical viscosity quantatively in the case that the surface of planar wave is oblique to the axes of cartesian computational grid. Then we apply the one-dimensionalized model to analyze a few problems. We obtain the following results. First, a simple extention of one-dimensional discretization method with the second order accuracy is not enough to realize the second order accuracy in the two dimensional discretization. This fact is already known, but we give an alternative explanation. Second, in the case of linear conservation law, the oblique positional relation between the surface of planar wave and the axes system of cartesian computational grid does affect the numerical viscosity rather little.; 形態: カラー図版あり; Physical characteristics: Original contains color illustrations; 資料番号: AA2230026000; レポート番号: JAXA-RR-22-007
• DOI: 10.20637/00049106
• Access Restrictions: 限定公開
• Data Provider (Database): 国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）; https://irdb.nii.ac.jp
• Original Data Provider (Database): 宇宙航空研究開発機構 : 宇宙航空研究開発機構リポジトリ

• Summary, etc.: 2 次元保存則の解の数値計算における平面波の捕獲や伝播の解析のための1 次元化モデルを提案する。波の捕獲、特に衝撃波の捕獲においては、波面と計算格子が斜交関係になった場合に捕獲の鈍化が生じることは経験的によく知られている。ただし、計算格子は構造格子を仮定し、斜交とは波面と計算格子の座標系の座標軸の斜...