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
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2010年 / 50卷 / 05期
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
  • [1] ABALKIN IV, 2001, MAT MODELIR, V13, P53
  • [2] [Anonymous], COMPUT MATH MATH PHY
  • [3] Belotserkovskii O. M., 1987, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V27, P594
  • [4] The vertical profile of winds on Titan
    Bird, MK
    Allison, M
    Asmar, SW
    Atkinson, DH
    Avruch, IM
    Dutta-Roy, R
    Dzierma, Y
    Edenhofer, P
    Folkner, WM
    Gurvits, LI
    Johnston, DV
    Plettemeier, D
    Pogrebenko, SV
    Preston, RA
    Tyler, GL
    [J]. NATURE, 2005, 438 (7069) : 800 - 802
  • [5] [Гущин В.А. Gushchin V.A.], 2006, [Математическое моделирование, Mathematical Models and Computer Simulations, Matematicheskoe modelirovanie], V18, P5
  • [6] GUSHCHIN VA, 2006, IZV MATH+, P135
  • [7] GUSHCHIN VA, 2001, JAPAN SOC CFD CFD J, V10, P344
  • [8] GUSHCHIN VA, 1997, COMP MATH MATH PHYS+, V37, P1086
  • [9] GUSHCHIN VA, 2003, MATH MODELING PROBLE, P199
  • [10] KOVENYA VM, 1981, SPLITTING METHOD GAS
12