Code verification of physics evoked cloud method for compressible fluid dynamics
-
摘要: 为了评估无网格物理质团法(PECM)对可压流计算的可信性,结合物理认识对该方法的设计思想和数值格式进行了先验分析,基于9个一维模型数值解与参照解的对比信息,通过后验分析方法对PECM进行了程序验证,参照解包括无网格再生核粒子法(RKPM)的数值解以及精确解。验证结果表明:各种物理参数以及状态方程的强烈间断会导致RKPM严重的失稳或失真,而PECM在包括极大密度比在内的各种强间断条件下仍保持稳定和收敛并具有较高的准确度。Abstract: In order to assess the credibility of the mesh free physics evoked cloud method (PECM) applied in simulation of compressible flows, the ideas and schemes of this method were analyzed a priori by combining the cognitions of physical laws, and based on the information of comparisons between numerical and referential solutions about nine one-dimensional models, code verification of PECM was implemented through a posteriori assessments, in which the referential solutions include numerical solutions of mesh free reproducing kernel particle method (RKPM) and exact solutions. The results of code verification indicate that strong discontinuities in various physical parameters or equations of state can lead to serious instabilities or infidelities of RKPM, whereas PECM still works robustly with excellent properties of accuracy and convergence even if very large density ratio exists.
-
[1] 马智博,应阳君,朱建士.QMU认证方法及其实现途径[J].核科学与工程,2009,29(1):1-9.MA Zhibo,YING Yangjun,ZHU Jianshi.QMU certifying method and its implementation[J].Chinese Journal of Nuclear Science and Engineering,2009,29(1):1-9.(in Chinese) [2] OBERKAMPF W L,ROY C J.Verification and validation in science computing[M].Cambridge,UK:Cambridge University Press,2010. [3] ROY C J,OBERKAMPF W L.A comprehensive framework for verification,validation,and uncertainty quantification in scientific computing[J].Computer Methods in Applied Mechanics and Engineering,2011,200(25/26/27/28):2131-2144. [4] 马智博,孙宇涛,殷建伟,等.基于数值模拟的QMU决策体系[J].计算物理,2016,33(6):661-670.MA Zhibo,SUN Yutao,YIN Jianwei,et al.QMU decision based on modeling & simulation[J].Chinese Journal of Computational Physics,2016,33(6):661-670.(in Chinese) [5] NOH W F.CEL:a time-dependent two-space-dimensional coupled Eulerian-Lagrangian code[J].Methods in Computational Physics,1964,3:117-179. [6] HIRT C W,AMSDEN A A,COOK J L.An arbitrary Lagrangian-Eulerian computing method for all flow speeds[J].Journal of Computational Physics,1974,14(3):227-253. [7] XU Weihou,XU Kun.Computational fluid dynamics based on the unified coordinates[M].Beijing:Science Press,2012. [8] 王瑞利,刘全,林忠.邻域可变技术及其在闭穴滑移计算中的应用[J].计算物理,2012,29(5):667-674.WANG Ruili,LIU Quan,LIN Zhong.Technique for changing connectivity of mesh and closed void interface simulation[J].Chinese Journal of Computational Physics,2012,29(5):667-674.(in Chinese) [9] 宋顺成,李国斌,才鸿年,等.战斗部对混凝土先侵彻后爆轰的数值模拟[J].兵工学报,2006,27(2):230-234.SONG Shuncheng,LI Guobin,CAI Hongnian,et al.Numerical simulation of penetration-then-detonation of concrete target with projectile[J].Acta Armamentarii,2006,27(2):230-234.(in Chinese) [10] ELLIOTT J B.Hydra modeling of experiments to study ICF capsule fill hole dynamics using surrogate targets[R].Lawrence Livermore National Laboratory Report,UCRL-TR-234075,2007. [11] 符尚武,黄书科,李生.间接驱动、高收缩内爆试验的数值模拟[J].计算物理,1999,16(2):162-166.FU Shangwu,HUANG Shuke,LI Sheng.Numerical simulation of indirectly driven high-convergence implosions[J].Chinese Journal of Computational Physics,1999,16(2):162-166.(in Chinese) [12] 宁成,丁宁,杨震华.“强光一号”装置上部分Z箍缩实验结果的物理分析[J].物理学报,2007,56(1):338-345.NING Cheng,DING Ning,YANG Zhenhua.Physical analysis of the certain results in Z-pinch experiments on the “Qiang Guang-Ⅰ” generator[J].Acta Physica Sinica,2007,56(1):338-345.(in Chinese) [13] MCMILLAN C F,ADAMS T F,MCCOY M G,et al.Computational challenges in nuclear weapons simulation[R].Lawrence Livemore National Laboratory Report UCRL-JC-155202,2003. [14] 马智博.物理质团法:一个普适的数值方法体系[J].计算物理,2017,34(3):261-272.MA Zhibo.Physics evoked cloud method:a versatile systematic method for numerical simulations[J].Chinese Journal of Computational Physics,2017,34(3):261-272.(in Chinese) [15] MA Zhibo,ZHAO Yazhou.Physics evoked cloud method[J].International Journal of Computational Method,2018,15(3):1846006.1-1846006.20. [16] 马智博,赵亚洲.无网格方法关于导数计算的程序验证[J].航空动力学报,2017,32(8):1886-1899.MA Zhibo,ZHAO Yazhou.Code verification of mesh free method with computation of derivatives[J].Journal of Aerospace Power,2017,32(8):1886-1899.(in Chinese) [17] GINGOLD R A,MONAGHAN J J.Smoothed particle hydrodynamics:theory and application to non-spherical stars[J].Monthly Notices of the Royal Astronomical Society,1977,181(3):375-389. [18] LIU W K,JUN S,LI S F,et al.Reproducing kernel particle methods for structural dynamics[J].International Journal for Numerical Methods in Engineering,1995,38(10):1655-1679. [19] 殷建伟,马智博.重构粒子法对光滑粒子法的改进效果[J].计算物理,2009,26(4):553-558.YIN Jianwei,MA Zhibo.Reproducing kernel particle method in smoothed particle hydrodynamics[J].Chinese Journal of Computational Physics,2009,26(4):553-558.(in Chinese) [20] CHEN J K,BERAUN J E,JIH C K.An improvement for tensile instability in smoothed particle hydrodynamics[J].Computational Mechanics,1999,23(4):279-287. [21] ZHANG G M,BATRA R C.Modified smoothed particle hydrodynamics method and its application to transient problems[J].Computational Mechanics,2004,34(2):137-146. [22] RAFIEE A,THIAGARAJAN K P.An SPH projection method for simulating fluid-hypoelastic structure interaction[J].Computer Methods in Applied Mechanics and Engineering,2009,198(33/34/35/36):2785-2795. [23] ANTUONO M,COLAGROSSI A,MARRONE S.Numerical diffusive terms in weakly-compressible SPH schemes[J].Computer Physics Communications,2012,183(12):2570-2580. [24] VON NEUMANN J,RICHTMYER R D.A method for the numerical calculation of hydrodynamic shocks[J].Journal of Applied Physics,1950,21(3):232-237. [25] GODUNOV S K.A finite deference method for the computation of discontinuous solutions of the equations of fluid dynamics[J].Mathematics of the USSR-Sbornik,1959,47(3):271-306. [26] The American Society of Mechanical Engineers.An illustration of the concepts of verification and validation in computational solid mechanics:ASME V&V 10.1-2012[S].New York:ASME Press,2012:1-23.
点击查看大图
计量
- 文章访问数: 1197
- HTML浏览量: 3
- PDF量: 1410
- 被引次数: 0