摘要
在分析与总结前人对修正数值格式研究的基础上,针对具体的一阶Upwind格式和二阶ENOLLF格式,通过"修正系数"方法对它们进行修正,详细推导了系数项的修正过程,并将修正后的格式分别称之为MCUpwind格式和MCENOLLF格式。通过理论和修正系数前后格式的对比数值模拟实验表明,修正后的格式保持了原有格式的所有优点,在不增加模板节点数的情况下,能将逼近精度提高一阶,在最坏的情况下可自动降为原格式,并且发现如能在间断或激波附近引入间断解思想等技巧,"修正系数"方法将会更有发展前景。
On the basis of analyzing and summarizing the value scheme that the predecessor had modified, two new numerical methods named MCUpwind and MCENOLLF are presented in view of the concrete of the Upwind scheme and the ENOLLF scheme, and by the way of ＂the modifying coefficient＂ to carry on the revision to them, has inferred the coefficient revision process in detail. The theory and The contrast experiments indicated that the revision scheme maintained the merits of original scheme, and enhanced the one step of the approach precision under no increasing the template nodal point number, and reduced the original form automatically in the worst case, and discovered that the modifying coefficient method wound have the better prospects for development by drawing into other techniques such as the thinking of the interrupted solution in the interrupted place or nearby the shock wave.
出处
《计算机工程与设计》
CSCD
北大核心
2009年第15期3680-3683,共4页
Computer Engineering and Design
