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首页> 外文期刊>Applied Mathematical Modelling >Comparative study of 1D, 2D and 3D simplified gas kinetic schemes for simulation of inviscid compressible flows
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Comparative study of 1D, 2D and 3D simplified gas kinetic schemes for simulation of inviscid compressible flows

机译:1D,2D和3D简化气体动力学方案用于模拟无粘性可压缩流的比较研究

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摘要

With assumption that all the particles in the phase velocity space are concentrated on a circle and on a sphere, the circular function-based gas kinetic scheme and sphere function-based gas kinetic scheme have been developed by Shu and his coworkers [21-23]. These schemes are simpler than the Maxwellian function-based gas kinetic schemes. The simplicity is due to the fact that the integral domain of phase velocity of circular function and sphere function is a finite region while the integral domain of Maxwellian distribution function is infinite. In this work, the 1D delta function-based gas kinetic scheme is also developed to form a complete set of the simplified gas kinetic schemes. The 1D, 2D and 3D simplified gas kinetic schemes can be viewed as the truly 1D, 2D and 3D flux solvers since they are based on the multi-dimensional Boltzmann equation. On the other hand, to solve the 3D flow problem, the tangential velocities are needed to be approximated by some ways for the 1D and 2D simplified gas kinetic schemes, and to solve the 1D flow problem, the tangential velocities should be taken as zero for the 2D and 3D simplified gas kinetic schemes. The performances of these three schemes for simulation of inviscid compressible flows are investigated in this work by their application to solve the test problems from 1D to 3D cases. Numerical results showed that the efficiency of the delta function-based gas kinetic scheme is slightly superior to that of the circular function- and sphere function-based gas kinetic schemes, while its stability is inferior significantly to the latter. For simulation of the 3D hypersonic flows, the sphere function-based gas kinetic scheme could be the best choice.
机译:假设相速度空间中的所有粒子都集中在一个圆和一个球上,舒及其同事[21-23]开发了基于圆函数的气体动力学方案和基于球函数的气体动力学方案。 。这些方案比基于麦克斯韦函数的气体动力学方案更简单。简单性是由于以下事实:圆函数和球函数的相速度的积分域是一个有限区域,而麦克斯韦分布函数的积分域是无限的。在这项工作中,还开发了基于一维德尔塔函数的气体动力学方案,以形成一整​​套简化的气体动力学方案。 1D,2D和3D简化的气体动力学方案可以视为真正的1D,2D和3D通量求解器,因为它们基于多维Boltzmann方程。另一方面,要解决3D流动问题,对于一维和二维简化气体动力学方案,需要通过某种方式近似切向速度,而要解决一维流动问题,则应将切向速度设为零。 2D和3D简化的气体动力学方案。在这项工作中,通过应用这三种方案来解决从1D到3D情况下的测试问题,对这三种方案的性能进行了研究。数值结果表明,基于三角函数的气体动力学方案的效率略高于基于圆形函数和球面函数的气体动力学方案,而其稳定性却明显低于后者。对于3D高超音速流的仿真,基于球函数的气体动力学方案可能是最佳选择。

著录项

  • 来源
    《Applied Mathematical Modelling》 |2017年第3期|85-109|共25页
  • 作者单位

    State Key Laboratory of Aerodynamics, China Aerodynamics Research and Development Center, P.O. BOX 211, Mianyang, Sichuan, China,Department of Aerodynamics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing, Jiangsu, China;

    Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, Singapore;

    Department of Aerodynamics, College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Yudao Street, Nanjing, Jiangsu, China;

    Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, Singapore;

    Department of Mechanical Engineering, National University of Singapore, 10 Kent Ridge Crescent, Singapore, Singapore;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    Circular function; Delta function; Gas kinetic scheme; Inviscid compressible flows; Sphere function;

    机译:循环功能;Delta功能;气体动力学方案;无粘性可压缩流;球函数;

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