流体力学方程组人为解的构造及其应用  

Manufactured Solutions of Fluid Mechanics Equations of Construction and Its Application

作　　者：刘希强[1] 王瑞利[2] 刘全[2] 

机构地区：[1]聊城大学数学科学学院,山东聊城252059 [2]北京应用物理与计算数学研究所,北京100088

出　　处：《聊城大学学报（自然科学版）》2013年第2期1-3,共3页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金;中国工程物理研究院联合基金资助项目(11076015)

摘　　要：主要介绍PDE光滑人为解方法的有关进展和人为解构造中的相关问题.对一类可压的理想流体力学方程组,提供了一种人为解构造的思路.这类人为解具有满足无源项的质量守恒方程(或无源项的能量守恒方程)的特征.根据这种构造人为解的思路,来构造二维直角坐标系下和二维柱对称下流体力学方程组的人为解,并应用于程序验证.结果表明,构造的人为解可以用于程序验证.This paper is mainly introduces the progress of the smooth solutions of PDE and its related problems with method of manufactured solutions of construction. We give a way to construct manufactured solutions for a class of ideal fluid dynamics equations. These manufactured solutions have characteristics which is satisfied the mass conservation equation which has no source term （or energy conservation equation）. According to this ideas, we construct the manufactured solutions of fluid mechanics equations under two-dimensional Cartesian coordinate system and 2-D cylindrical symmetry, and apply to the PPM program verification. It is shows that the manufactured solutions can be used in program verification.

关 键 词：人为解 人为解方法 理想流体力学方程组 质量守恒方程 PPM程序验证 

分 类 号：O175.2[理学—数学]