並列タイトル等One-dimensionalized Model for Analyzing Planar Wave Capturing in Numerical Solution to Two-Dimensional Conservation Law
一般注記出版タイプ： VoR
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
連携機関・データベース国立情報学研究所 : 学術機関リポジトリデータベース（IRDB）（機関リポジトリ）
提供元機関・データベース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