A Novel Discretization Method for the N-S Equations on Three-Dimensional Cartesian Cut Cell

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A Novel Discretization Method for the N-S Equations on Three-Dimensional Cartesian Cut Cell

更新时间：2025-07-09

- A Novel Discretization Method for the N-S Equations on Three-Dimensional Cartesian Cut Cell
- Vol. 44, Issue 5, Pages: 15-20(2010)
- 作者机构：
  
  1. 西安交通大学能源与动力工程学院,西安,710049
  2. 西安交通大学人居环境与建筑工程学院,西安,710049
- 作者简介：
- 基金信息：
- DOI：
  CLC： TK124
- Online First：10 May 2010，
  
  Published：2010
- 稿件说明：
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A Novel Discretization Method for the N-S Equations on Three-Dimensional Cartesian Cut Cell[J]. 2010, 44(5): 15-20.
DOI：

A Novel Discretization Method for the N-S Equations on Three-Dimensional Cartesian Cut Cell[J]. 2010, 44(5): 15-20. DOI：

摘要

针对一种计算流体力学的三维切削网格自动生成方法Kitta Cube

提出一种新的离散方法(6+N模型)来描述和处理Kitta Cube中的任意三维切削网格.该方法能避免对各种类型的切削网格进行穷举分析

实现采用统一模式在三维切削网格上离散和求解N-S方程.用该方法对三维同心球和偏心球之间环形通道内的自然对流换热进行模拟

数值结果表明:通过Kitta Cube能较精确地表达曲面

面积误差在1.0%以内; 利用6+N模型能在该网格上实现复杂区域内的流动和传热模拟

其数值精度与贴体网格相当

误差在0.5%以内; 降低偏心球环形通道内部球心位置

能增加自然对流的传热性能.

Abstract

A novel three-dimensional Cartesian cut cell algorithm

referred to as 6+N

is proposed to describe and treat arbitrary three-dimensional Kitta Cube. This method can avoid the enumeration for millions of cutting patterns and implement the discretization and solution of the N-S equations in a unified form. The present method is applied to simulate natural convection heat transfer in an annular tunnel between two concentric or eccentric spheres. The numerical results show that Kitta Cube can express curve surfaces accurately with an error of less than 1.0%. The accuracy of solutions obtained by the present method is approximately equivalent to that by the body-fitted method. In addition

higher overall heat transfer coefficients can be achieved by lowering the position of the inner sphere for eccentric arrangement.

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references

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