流体力学拉氏守恒滑移线算法设计  

Conservative sliding algorithms for hydrodynamics

作　　者：刘全[1] 于明[1] 林忠[1] 王瑞利[1] 

机构地区：[1]北京应用物理与计算数学研究所,北京100094

出　　处：《物理学报》2015年第19期185-194,共10页Acta Physica Sinica

基　　金：国家自然科学基金(批准号:11372051;11172050;11272064);中物院联合基金(批准号:NASF-11076015)资助的课题~~

摘　　要：本文在Wilkins滑移线算法的基础上,设计了从区网格边人工黏性对主点施加算法.结合拉氏"相容性格式",通过定义"接触力"和"接触力做功",利用局部修正内能的方法设计了总能量守恒的流体力学拉氏格式.该修正方法可保证对称性、守恒性;提高数值模拟分辨率.The Lagrangian hydrodynamics algorithm using staggered mesh is one of the most important algorithms for engi-neering design and science computing. Some questions need to use the conservative scheme. Shashkov gave the idea how to get conservation with a material. He defined the conservative scheme to be a compatible algorithm. When we perform a numerical simulation with two or more materials, we should use sliding line or contact-impact algorithm. In this case, the Wilkins algorithm is used mostly. But this algorithm is not conservative. This paper presents a conservative method for sliding line based on the compatible Lagrangian hydrodynamics algorithm and Wilkins sliding algorithm. The conservation of total energy can be got by the local modification through the idea of contact force and contact work. This method can ensure the symmetric property and conservative property, and improve the numerical accuracy. In this paper, we give the detail in how to design the conservative sliding algorithm and how to impose the slave’s edge artificial viscosity. We also gave some numerical simulations to prove that our scheme is right and useful.

关 键 词：相容格式 滑移算法 守恒 接触力 

分 类 号：O35[理学—流体力学]