@inproceedings{oai:jaxa.repo.nii.ac.jp:00036788, author = {石井, 隆次 and Ishii, Ryuji}, book = {航空宇宙技術研究所特別資料, Special Publication of National Aerospace Laboratory}, month = {Jan}, note = {航空宇宙技術研究所 7-9 Jun. 1995 東京 日本, National Aerospace Laboratory 7-9 Jun. 1995 Tokyo Japan, van der Waals気体中の衝撃波伝搬の数値解析を行った。まずvan der Waals気体の熱力学的特性を議論し、Rankine-Hugoniotの関係をRayleigh線と衝撃波断熱線を用いて求めた。断熱圧縮および断熱膨張の両衝撃波は気体の飽和曲線上の臨界点に接近して存在することを証明した。これは既知の事実であるが、いくつかの興味ある衝撃波の特性を新しく発見した。つぎにTVD法を用いて相関Euler方程式の数値解を求めた。本計算結果は理論的予測と部分的には一致を示したが、衝撃波不安定性は必ずしも良いシミュレートが出来なかった。, In this paper, shock waves propagating in a van der Waals gas are studied analytically and numerically. First the thermodynamic characteristics of the van der Waals gas are briefly discussed and then the Rankine-Hugoniot relations are obtained by using the Rayleigh line and the shock adiabatic. It was proved that both the compression and the expansion shocks can exist in the gas whose conditions are close to those at the critical point on the saturation curve. Although this fact has already been well known, several interesting shock characteristics were newly found. Next a Total Variation Diminishing (TVD)-scheme is applied to solve numerically the corresponding Euler equations. It was shown that the numerical results are partly consistent with the analytical predictions. The shock instability, however, was not always well simulated by the TVD-scheme., 資料番号: AA0000294020, レポート番号: NAL SP-30}, pages = {109--113}, publisher = {航空宇宙技術研究所, National Aerospace Laboratory (NAL)}, title = {濃密気体中の衝撃波の数値解析}, volume = {30}, year = {1996} }