Generalization of the Hybrid Monotone Second-Order Finite Difference Scheme for Gas Dynamics Equations to the Case of Unstructured 3D Grid

被引:5
作者
Mingalev, V. S. [1 ]
Mingalev, I. V. [1 ]
Mingalev, O. V. [1 ]
Oparin, A. M. [2 ]
Orlov, K. G. [1 ]
机构
[1] Russian Acad Sci, Kola Sci Ctr, Polar Geophys Inst, Apatity 184209, Murmanskaya Obl, Russia
[2] Russian Acad Sci, Inst Automated Design, Moscow 123056, Russia
基金
俄罗斯基础研究基金会;
关键词
numerical solution of fluid dynamics equations; generalized hybrid monotone finite difference scheme; unstructured 3D grid; NUMERICAL-SIMULATION; CIRCULATION;
D O I
10.1134/S0965542510050118
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A generalization of the explicit hybrid monotone second-order finite difference scheme for the use on unstructured 3D grids is proposed. In this scheme, the components of the momentum density in the Cartesian coordinates are used as the working variables; the scheme is conservative. Numerical results obtained using an implementation of the proposed solution procedure on an unstructured 3D grid in a spherical layer in the model of the global circulation of the Titan's (a Saturn's moon) atmosphere are presented.
引用
收藏
页码:877 / 889
页数:13
相关论文
共 16 条
  • [11] Numerical simulation of the global distributions of the horizontal and vertical wind in the middle atmosphere using a given neutral gas temperature field
    Mingalev, I. V.
    Mingalev, V. S.
    Mingaleva, G. I.
    [J]. JOURNAL OF ATMOSPHERIC AND SOLAR-TERRESTRIAL PHYSICS, 2007, 69 (4-5) : 552 - 568
  • [12] [Мингалев И.В. Mingalev I.V.], 2005, [Математическое моделирование, Mathematical Models and Computer Simulations, Matematicheskoe modelirovanie], V17, P24
  • [13] First simulation results of Titan's atmosphere dynamics with a global 3-D non-hydrostatic circulation model
    Mingalev, I. V.
    Mingalev, V. S.
    Mingalev, O. V.
    Kazeminejad, B.
    Lammer, H.
    Biernat, H. K.
    Lichtenegger, H. I. M.
    Schwingenschuh, K.
    Rucker, H. O.
    [J]. ANNALES GEOPHYSICAE, 2006, 24 (08) : 2115 - 2129
  • [14] Numerical simulation of circulation of the Titan's atmosphere: Interpretation of measurements of the Huygens probe
    Mingalev, I. V.
    Mingalev, V. S.
    Mingalev, O. V.
    Kazeminejad, B.
    Lammer, H.
    Birnat, H. K.
    Lihteneger, H. I. M.
    Schvingenschu, K.
    Ruker, H. O.
    [J]. COSMIC RESEARCH, 2009, 47 (02) : 114 - 125
  • [15] OPARIN AM, 2000, ADV NUMERICAL SIMULA
  • [16] ZHOKHOVA AV, 2002, MAT MODELIR, V14, P35