摘要
本文首先从积分形式的二维Lagrange流体力学方程组出发,使用ENO高阶插值多项式,推广了四边形结构网格下的一阶有限体积格式,构造得到了一类结构网格下的高精度有限体积格式.该格式针对单介质问题具有良好的计算效果,同时在处理多介质问题时,不会产生物质界面附近强烈的震荡.结合有效的守恒重映方法,用ALE方法进行数值模拟,得到了预期的效果.
In this paper, a new kind of finite volume scheme is developed for Lagrangian equations of hydrodynamics. By use of ENO （Essentially Non-oscillatory） interpolating polynomials on structure grids, the high accurate finite volume scheme has been constructed by modifying a first order finite volume scheme on rectangular mesh. This scheme not only does well in single material calculations, but also eliminates the oscillations due to common conservative scheme in multimaterial calculations. Finally, with the remapping method, some numerical experiments are made with an arbitrary Lagrangian-Eulerian method and results show that the method is effective.
出处
《数值计算与计算机应用》
CSCD
2007年第4期250-259,共10页
Journal on Numerical Methods and Computer Applications
基金
国家自然科学基金(10601023)
中国工程物理研究院科学技术基金(20050649)
计算物理重点实验室基金(2005)
南京航空航天大学青年创新基金
南京航空航天大学理学院创新基金
