留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

Lagrange中心型守恒格式

葛全文

葛全文. Lagrange中心型守恒格式[J]. 应用数学和力学, 2012, 33(10): 1239-1256. doi: 10.3879/j.issn.1000-0887.2012.10.009
引用本文: 葛全文. Lagrange中心型守恒格式[J]. 应用数学和力学, 2012, 33(10): 1239-1256. doi: 10.3879/j.issn.1000-0887.2012.10.009
GE Quan-wen. Lagrangian Cell-Centered Conservative Scheme[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1239-1256. doi: 10.3879/j.issn.1000-0887.2012.10.009
Citation: GE Quan-wen. Lagrangian Cell-Centered Conservative Scheme[J]. Applied Mathematics and Mechanics, 2012, 33(10): 1239-1256. doi: 10.3879/j.issn.1000-0887.2012.10.009

Lagrange中心型守恒格式

doi: 10.3879/j.issn.1000-0887.2012.10.009
基金项目: 国家自然科学基金资助项目(11172050)
详细信息
    通讯作者:

    葛全文(1960—),男,吉林人,副研究员,博士(Tel:+86-10-59872160;E-mail:ge-quanwen @iapcm.ac.cn).

  • 中图分类号: O241.82

Lagrangian Cell-Centered Conservative Scheme

  • 摘要: 提出了Lagrange中心型守恒气体动力学格式.引入了当前时刻子网格密度与当前时刻网格声速产生的网格分片常数压力.初始网格密度乘以初始子网格体积得到子网格质量,这些子网格质量除以当前时刻子网格体积得到当前时刻子网格密度.应用网格分片常数压力,构造了满足动量守恒、总能量守恒的Lagrange中心型守恒气体动力学格式,格点速度以与网格面的数值通量相容的方式计算.对Saltzman活塞问题等进行了数值模拟,数值结果显示Lagrange中心型守恒气体动力学格式的有效性和精确性.
  • [1] Maire P H, Abgrall R, Breil J, Ovadia J. A cell-centered Lagrangian scheme for compressible flow problems[J]. SIAM J Scien Comp, 2007, 29(4): 1781-1824.
    [2] von Neumann J, Richtmyer R D. A method for the numerical calculations of hydrodynamica shocks[J]. J Appl Phys, 1950, 21, 232-238.
    [3] Wilkins M L. Calculation of elastic plastic flow[C]Blder B, Fernbach S.Methods in Computationnal Physics. 3. New York: Academic, 1964.
    [4] Caramana E J, Shashkov M J . Elimination of artificial grid distorsion and hourglass-type motions by means of Lagrangian subzonal masses and pressures[J]. J Comput Phys, 1998, 142(2): 521-561.
    [5] Caramana E J, Shashkov M J, Whalen P P. Formulations of artificial viscosity for multidimensional shock wave computations[J]. J Comput Phys, 1998, 144(1): 70-97.
    [6] Campbell J C, Shashov J C. A tensor artificial viscosity using a mimetic finite difference algorithm[J]. J Comput Phys, 2001, 172(4): 739-765.
    [7] Caramana E J, Burton D E, Shashov M J, Whalen P P. The construction of compatible hydrodynamics algorithms utilizing conservation of total energy[J]. J Comput Phys, 1998, 146(1): 227-262.
    [8] Campbell J C, Shashov M J. A compatible Lagrangian hydrodynamics algorithm for unstructured grids[J]. Seluk J Appl Math, 2003, 4(2): 53-70.
    [9] Scovazzi G, Christon M A, Hughes T J R, Shadid J N. Stabilized shock hydrodynamics—Ⅰ: a Lagrangian method[J]. Comput Methods Appl Mech and Engrg, 2007, 196(4): 923-966.
    [10] Scovazzi G. Stabilized shock hydrodynamicsⅡ: design and physical interpretation of the SUPG operator for Lagrangian computations[J]. Comput Methods Appl Mech and Engrg, 2007, 196(4/6): 966-978.
    [11] Scovazzi G, Love E, Shashkov M J. Multi-scale Lagrangian shock hydrodynamics on Q1/P0 finite elements: theoretical framework and two-dimensional computations[J]. Comput Methods Appl Mech and Engrg, 2008, 197(9/12): 1056-1079.
    [12] Godunov S K, Zabrodine A, Ivanov M, Kraiko A, Prokopov G.Résolution Numérique des Problèmes Multidimensionnels de la Dynamique des Gaz[M]. Mir, 1979.
    [13] Adessio F L, Carroll D E, Dukowicz K K, Johnson J N, Kashiwa B A, Maltrud M E, Ruppel H M . Caveat: a computer code for fluid dynamics problems with large distortion and internal slip[R]. Technical Report LA-10613-MS, Los Alamos National Laboratory, 1986.
    [14] Dukowicz J K, Meltz B . Vorticity errors in multidimensional Lagrangian codes[J]. J Comput Phys, 1992, 99(1): 115-134.
    [15] Despr'es B, Mazeran C. Lagrangian gas dynamics in two dimensions and Lagrangian systems[J]. Arch Rational Mech Anal, 2005, 178(3): 327-372.
    [16] Carré G, Delpino S, Despr'es B, Labourasse E . A cell-centered Lagrangian hydrodynamics scheme in arbitrary dimension[J]. J Comput Phys, 2009, 228(14): 5160-5183.
  • 加载中
计量
  • 文章访问数:  1598
  • HTML全文浏览量:  72
  • PDF下载量:  1009
  • 被引次数: 0
出版历程
  • 收稿日期:  2011-08-29
  • 修回日期:  2012-05-02
  • 刊出日期:  2012-10-15

目录

    /

    返回文章
    返回