虚拟流体方法在动边界问题中的应用  

GHOST FLUID METHOD AS APPLIED TO MOVING BOUNDARY PROBLEMS

作　　者：许亮[1] 冯成亮[2] 刘铁钢[2] 

机构地区：[1]中国航天空气动力技术研究院,北京100074 [2]北京航空航天大学数学与系统科学学院,数学、信息与行为教育部重点实验室,北京100191

出　　处：《数值计算与计算机应用》2016年第2期116-124,共9页Journal on Numerical Methods and Computer Applications

基　　金：国家自然科学基金(11201442)资助项目

摘　　要：研究笛卡尔网格下求解动边界问题的虚拟流体方法.根据波系结构的不同形式推导虚拟流体状态的所有合理定义方式.并进一步推广两种简单有效的虚拟流体方法,不依赖于虚拟流体区域可能产生的波系结构.一维数值结果表明只要虚拟流体状态的定义符合推导条件,求解动边界条件下的可压缩无粘流问题理论上完全精确.二维算例表明虽然对虚拟流体状态的定义方式不同,但是获得的两种虚拟流体方法在实际应用中几乎具有完全相同的效果.The ghost fluid method for solving moving boundary problems with Cartesian grid is developed. All the possible definitions of the ghost fluid states are derived according to wave patterns in the ghost fluid region. Two simple but effective ghost fluid methods, which are independent with the wave patterns in the ghost fluid region, are further summarized. Following these treatments, it reveals that the solution to the compressible inviscid flow problem with moving boundary can be obtained exactly in theory. Although the definitions of ghost fluid states are totally different, numerical results disclose that these methodologies have almost the same effect for moving boundary problems.

关 键 词：可压缩无粘流 虚拟流体方法 动边界问题 虚拟流体状态 

分 类 号：O35[理学—流体力学]