节点文献
求解双曲型守恒律方程的高精度迎风紧致群速度控制法
A HIGH ORDER ACCURATE UPWIND COMPACT SCHEME WITH GROUP VELOCITY CONTROL FOR SOLVING HYPERBOLIC CONSERVATION LAWS
【摘要】 从迎风紧致逼进[1]出发,提出求解流体力学双曲型守恒律的一种高精度的数值方法,同时采用群速度控制方法捕捉激波。该方法在光滑区具有三阶精度。
【Abstract】 A high order accurate finite difference scheme is proposed in light of the upwind compact method .The flux vectors in Euler equations are approximated by using upwind compact difference.In order to prevent the nonphysical oscillations in the vicinity of the shock the group velocity control(GVC)method is used.The reason of oscillation production in numerical solutions is nonuniformity of group velocity of wave packets.GVC is for improvement of the shock resolution.The present scheme has third order accruracy in smooth regions.
【关键词】 群速度控制法;
迎风紧致格式;
双曲守恒律;
Euler方程;
【Key words】 GVC; upwind compact scheme; hyperbolic conservation laws; Euler equations.;
【Key words】 GVC; upwind compact scheme; hyperbolic conservation laws; Euler equations.;
【基金】 国家自然科学基金
- 【文献出处】 计算物理 ,CHINESE JOURNAL OF COMPUTATION PHYSICS , 编辑部邮箱 ,1998年05期
- 【分类号】O241,O351
- 【被引频次】7
- 【下载频次】203