二维空间中基于黎曼解的SPH方法  

SPH method based on riemann-solver in two dimensional space

作　　者：杨刚[1] 韩旭[1] 胡德安[1] 

机构地区：[1]湖南大学

出　　处：《应用力学学报》2010年第3期492-499,640-641,共8页Chinese Journal of Applied Mechanics

基　　金：武器装备预演基金(9140A04040208JW3201);国防基础研究资助项目(A1420080166)

摘　　要：应用传统的光滑粒子流体动力学(SPH)方法模拟激波问题能自主捕获波阵面,但是在接触间断界面处却不可避免地存在压力振荡。采用黎曼解修正粒子对之间的相互作用,并将基于黎曼解的SPH方法扩展到二维空间。通过对一维具有解析解的激波管问题和二维拟内爆问题的模拟,比较了基于黎曼解的SPH方法和传统的SPH方法。数值结果表明,相对于传统的SPH方法,基于黎曼解的SPH方法能够有效避免接触界面处的压力振荡,提高求解的精度。Although traditional smoothed particle hydrodynamics (SPH) method can simulate the shock wave problem and capture the front wave freely, it can’t avoid the pressure oscillation that occurs at the contact interface.In this paper, the Riemann-solver based SPH method is extended to two-dimensional coordinate. The interaction between particles is corrected by Riemann solution. Shock tube and quasi-implosion problems are simulated by traditional SPH and Riemann-solver based SPH method. Numerical results show that the Riemann-solver based SPH method can remove the tensile instability and improve the accuracy of calculation.

关 键 词：光滑粒子动力学 黎曼解 激波 

分 类 号：O368[理学—流体力学]