摘要
在ENO(Essentially Non-oscillatory)守恒插值方法的基础上,分析和研究现今流体力学计算中涉及的几类网格技术:重叠网格技术、自适应加密技术和运动网格技术.基于ENO插值多项式构造的重映方法具有良好的守恒性,可以有效保证数据传递中物理量的总体守恒.提出该类守恒插值方法在以上几种网格技术中的一些应用前景,并给出一些数值算例.
We summarize conservative remapping algorithms based on ENO （essentially non-oscillatory） interpolation. Three numerical techniques in computational fluid dynamics are discussed： overlapping mesh method, adaptive refinement mesh method and moving mesh method. Physical quantities transfer between meshes. Conservativeness is important, especially in computing shock and contact discontinuity. We propose a remapping algorithm based on ENO which is conservative and accurate in transferring physical quantities between meshes and give numerical examples. It shows that the algorithm has ability of resolving conservative problems with above mesh techniques in computational fluid dynamics.
出处
《计算物理》
EI
CSCD
北大核心
2008年第6期641-648,共8页
Chinese Journal of Computational Physics
基金
国家自然科学基金(10601023)
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青年创新基金资助项目
关键词
ENO插值多项式
守恒插值
重叠网格
自适应加密
运动网格
essentially non-oscillatory interpolation polynomial
conservative interpolation
overlapping mesh technique
adaptive refinement mesh methods
moving mesh methods
