• 论文 •

### 从离散速度模型到矩方法

1. 1. 杜克大学数学系, 美国;
2. 北京大学数学科学学院, 北京 100871;
3. 北京大学数学科学学院, 应用物理和技术中心, 北京 100871
• 收稿日期:2015-09-07 出版日期:2016-08-15 发布日期:2016-09-08
• 基金资助:

国家自然科学基金的资助（No.11325102和No.91330205）.

Cai Zhenning, Fang Yuwei, Li Ruo. FROM DISCRETE VELOCITY MODEL TO MOMENT METHOD[J]. Mathematica Numerica Sinica, 2016, 38(3): 227-244.

### FROM DISCRETE VELOCITY MODEL TO MOMENT METHOD

Cai Zhenning1, Fang Yuwei2, Li Ruo3

1. 1. Department of Mathematics, Duke University, NC, USA;
2. School of Mathematical Sciences, Peking University, Beijing 100871, China;
3. CAPT & School of Mathematical Sciences, Peking University, Beijing 100871, China
• Received:2015-09-07 Online:2016-08-15 Published:2016-09-08

In numerical approaches for the Boltzmann equation, the discrete velocity model and the moment method are formally very different. In this paper, we try to show the intrinsic connection between these two approaches. Precisely, the Grad type moment method with appropriate closure can be regarded as a discrete velocity model with some adaptivities in setup of the velocity points. The globally hyperbolic regulazation of the moment method plays an essential role in connecting both approaches together.

MR(2010)主题分类:

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