@inproceedings{oai:jaxa.repo.nii.ac.jp:00006479, author = {相曽, 秀昭 and Abouziarov, Moustafa and Aiso, Hideaki and Abouziarov, Moustafa}, book = {宇宙航空研究開発機構特別資料: 航空宇宙数値シミュレーション技術シンポジウム2004論文集, JAXA Special Publication: Proceedings of Aerospace Numerical Simulation Symposium 2004}, month = {Mar}, note = {There is concern about the difference approximation for the compressible Euler equations. While it is usually assumed that the difference increments tend to go to zero when the convergence or other issues like the order of accuracy is discussed, there are still problems in the numerical behaviors which should be discussed from the viewpoint that the difference approximation of interest is a 'discrete model' with the difference increments fixed to be some finite values. Two of such problems are discussed, the carbuncle instability and the unphysical dip of density that may happen with the occurrence of strong rarefaction waves. It seems that they are somehow related with the property of compressible Euler equations that the system has linearly degenerate fields while the whole system is nonlinear., 資料番号: AA0048469039, レポート番号: JAXA-SP-04-012}, pages = {230--235}, publisher = {宇宙航空研究開発機構, Japan Aerospace Exploration Agency (JAXA)}, title = {保存系に対する保存型差分近似スキームの問題点}, volume = {JAXA-SP-04-012}, year = {2005} }