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Lagrange柱坐标高阶中心型守恒格式

 引用本文: 葛全文. Lagrange柱坐标高阶中心型守恒格式[J]. 应用数学和力学, 2014, 35(11): 1218-1231.
GE Quan-wen. Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1218-1231. doi: 10.3879/j.issn.1000-0887.2014.11.005
 Citation: GE Quan-wen. Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry[J]. Applied Mathematics and Mechanics, 2014, 35(11): 1218-1231.

## Lagrange柱坐标高阶中心型守恒格式

##### doi: 10.3879/j.issn.1000-0887.2014.11.005

###### 作者简介:葛全文(1960—),男,吉林人,副研究员,博士(Tel: +86-10-59872671; E-mail: ge_quanwen@iapcm.ac.cn).
• 中图分类号: O354;O242

## Lagrange High Order Cell-Centered Conservative Scheme in Cylindrical Geometry

Funds: The National Natural Science Foundation of China(11172050; 11372051; 11001027)
• 摘要: 提出Lagrange柱坐标高阶中心型守恒格式.基于用对守恒律的单调迎风算法(MUSCL)构造的高阶子网格压力,引入了柱坐标高阶体权子网格力和柱坐标高阶面权子网格力,构造了柱坐标高阶体权中心型守恒格式和柱坐标高阶面权中心型格式.柱坐标高阶体权中心型守恒格式满足动量守恒、能量守恒,但不能确定保持一维球对称性.柱坐标高阶面权中心型格式满足能量守恒,保持一维球对称性.两种格式里,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柱坐标高阶中心型守恒格式的有效性和精确性.
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##### 出版历程
• 收稿日期:  2014-05-01
• 修回日期:  2014-09-11
• 刊出日期:  2014-11-18

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