Lagrange非结构网格高阶交错型守恒气体动力学格式

葛全文

doi:10.3879/j.issn.1000-0887.2014.01.010

Lagrange非结构网格高阶交错型守恒气体动力学格式

doi: 10.3879/j.issn.1000-0887.2014.01.010

葛全文

应用物理与计算数学研究所, 北京 100094

基金项目: 国家自然科学基金(11172050; 11372051；11001027)

详细信息

作者简介:
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: O354
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出版历程
- 收稿日期: 2013-07-18
- 修回日期: 2013-10-11
- 刊出日期: 2014-01-15

Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes

GE Quan-wen

Institute of Applied Physics and Computational Mathematics, Beijing 100094, P.R.China

Funds: The National Natural Science Foundation of China(11172050; 11372051; 11001027)

摘要

摘要: 提出Lagrange(拉格朗日)非结构网格高阶交错型守恒气体动力学格式.用产生于当前时刻子网格密度和网格声速的子网格压力和MUSCL方法构造了高阶子网格力,利用高阶子网格力构造了高阶空间通量,借助时间中点通量的Taylor(泰勒)展开完成了高阶时间通量离散.研制了Lagrange非结构网格高阶交错型守恒气体动力学格式.对Saltzman活塞问题等进行了数值模拟,数值结果显示了Lagrange非结构网格高阶交错型守恒气体动力学格式的有效性和精确性.
- 高阶子网格力 /
- Lagrange非结构网格高阶交错型守恒格式 /
- Lagrange非结构网格高阶交错型格式 /
- 高阶分片压力
Abstract: A Lagrangian high-order staggered conservative gasdynamics scheme on unstructured meshes was presented.The high-order piecewise pressure on the cell arising from the present-moment subcell density and present-moment subcell acoustic speed was used to construct the high-order subcell force with the MUSCL method.The time discretization of the spatial fluxes was performed by means of the Taylor expansions of the spatial fluxes centered in time. Thereupon the Lagrangian high-order staggered conservative gasdynamics scheme was established. Several numerical tests were presented to demonstrate the robustness and accuracy of the new scheme.

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参考文献(11)

[1]	Browne P L, Wallick K B. The reduction of mesh tangling in two-dimensional Lagrangian hydrodynamics codes by the use of viscosity, artificial viscosity, and TTS (temporary triangular subzoning) for long-thin zones[R]. Los Alamos Laboratory Report, LA-4740-MS, 1971: 1-16.
[2]	Margolin L G, Pyun J J. A method for treating hourglass patterns[C]//Taylor C T, Habashi W G, Hafez M M, eds. Numerical Methods in Laminar and Turbulent Flow . Proceedings of the Fifth International Held at Montreal. Canada, 1987: 1-149.
[3]	Flanagan D P, Belytschko T. A uniform strain hexahedron and quadrilateral with orthogonal hourglass control[J]. Int J Numer Methods Eng,1981,17(5): 649-800.
[4]	Dukowicz J K, Meltz B J A. Vorticity errors in multidimensional Lagrangian codes[J]. J Comput Phys,1992,99(1): 115-134.
[5]	von Neumann J, Richtmyer R D. A method for the numerical calculations of hydrodynamical shocks[J]. J Appl Phys,1950,21(3): 232-238.
[6]	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.
[7]	Campbell J C, Shashkov M J. A tensor artificial viscosity using a mimetic finite difference algorithm[J]. J Comput Phys,2001,172(4): 739-765.
[8]	Caramana E J, Burton D E, Shashkov 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.
[9]	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.
[10]	葛全文. Lagrange中心型守恒格式[J]. 应用数学和力学, 2012,33(10): 1239-1256.(GE Quan-wen. Lagrangian cell-centered conservative scheme[J]. Applied Mathematics and Mechanics,2012,33(10): 1239-1256.(in Chinese))
[11]	Carré G, Del Pino S, Després B, Labourasse E. A cell-centered Lagrangian hydrodynamics scheme in arbitrary dimension[J]. J Comput Phys,2009,228(14): 5160-5183.

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文章访问数: 1339
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Lagrange非结构网格高阶交错型守恒气体动力学格式

doi: 10.3879/j.issn.1000-0887.2014.01.010

作者简介:
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)

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Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes

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Lagrange非结构网格高阶交错型守恒气体动力学格式

doi: 10.3879/j.issn.1000-0887.2014.01.010

作者简介: 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)

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出版历程

Lagrangian High-Order Staggered Conservative Gasdynamics Scheme on Unstructured Meshes

计量

出版历程

目录

作者简介:
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)