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非守恒理想流体力学方程组的若干数值方法 被引量:1

Some Numerical Methods of Nonconservative Ideal Fluid Dynamics Equations
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摘要 以求解双曲守恒律组的FD-WENO格式为基础提出了两类用于求解非守恒可压缩理想流体力学方程组的数值方法。通过求解若干Riemann问题及周期漩涡问题对这两类方法及已有的其它方法进行了测试和比较。数值试验表明这两类格式用于求解非守恒理想流体力学方程组时,计算是稳定的,能够算出较好的数值结果。 Two classes of numerical methods based on FD-WENO schemes were recommended for solving nonconservatiw compressible ideal fluid dynamics equations. For comparison purpose, these methods and some other existing related methods were tested on several Riemann problems and periodic vortex problem. The numerical experiments show that these two classes of methods not only have good stability properties, but also can get more accurate numerical results.
作者 张瑗 李寿佛
出处 《系统仿真学报》 EI CAS CSCD 北大核心 2007年第17期3914-3918,共5页 Journal of System Simulation
基金 国家863高技术惯性约束聚变主题资助项目 国家自然科学基金委员会-中国工程物理研究院联合基金(NSAF)资助项目(10676031) 国家重点基础研究发展计划资助973子课题(2005CB321703)
关键词 双曲守恒律组 非守恒方程组 理想流体力学 FD-WENO格式 粘性扰动 hyperbolic conservation laws nonconservative equations ideal fluid dynamics FD-WENO schemes viscous perturbation
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同被引文献4

  • 1Jiang G S,Shu C W. Efficient implementation of weighted ENO schemes[J]. J Comput Phys, 1996, 126(1): 202-228. 被引量:1
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  • 4Abgrall R, Kami S. A comment on the computation of non-conservative products [J]. J Comput Phys, 2010,229(8): 2759-2763. 被引量:1

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