《数值传热学》研究生课程教学资源（课件讲稿）Chapter 2 Discretization of Computational Domain and Governing Equations

热流科学与工程西步文通大堂E教育部重点实验室Interfacesbylowercases(小写字母）wande(x)w(ax)Distance between nodes?1)(i+(i-GridlineEPVATInterfaceDistance between interfacesW2.1.3 Introduction to different types of grid systemand generation method(1）Structuredgrid（结构化网格）：Nodepositionlayout（布置）is in order（有序的），and fixedfortheentire domain.CFD-NHT-EHTΦ6/46CENTER

6/46 2.1.3 Introduction to different types of grid system and generation method （1） Structured grid (结构化网格)：Node position layout（布置）is in order (有序的）, and fixed for the entire domain. Interface Gridline Distance between nodes Distance between interfaces Interfaces by lower cases(小写字母) w and e

热流科学与工程亚步文源大堂E教育部重点实验室(2)Unstructuredgrid（非结构化网格）：Nodepositionlayout(布置) is in disorder, and may change from node tonode.The generation and storage of the relationship ofneighboring nodes are the major work of grid generationStructured (b)Structured (a)5elementsUn-structured6neighboringelementsCFD-NHT-EHTG7/46CENTER

7/46 （2） Unstructured grid (非结构化网格)：Node position layout(布置) is in disorder, and may change from node to node. The generation and storage of the relationship of neighboring nodes are the major work of grid generation. Structured（a) Structured（b) Un-structured 5 elements 6 neighboring elements

热流科学与工程亚步文源大堂E教育部重点实验室Both structured and unstructured grid layout(（节点布置)have two practices: outer node and inner node(3)Outer nodeand inner nodeforstructured grid(a) Outer node method: Node is positioned at thevertexofasub-domain(子区域的角顶）；Theinterfaceisbetween two nodes; Generating procedure: Node firstandinterfacesecond---calledPracticeA(byPatankar)orcell-vertexmethod（单元顶点法）Sub-D极坐标个孤度(radian)直角坐标6CV|Cylindrical (2D)PolarCartesianCFD-NHT-EHTΦ8/46CENTER

8/46 Both structured and unstructured grid layout (节点布置) have two practices：outer node and inner node. （3）Outer node and inner node for structured grid (a) Outer node method：Node is positioned at the vertex of a sub-domain(子区域的角顶)；The interface is between two nodes；Generating procedure：Node first and interface second-called Practice A (by Patankar) ， or cell-vertex method (单元顶点法). Sub-D Cartesian CV Cylindrical（2D） Polar (radian)

热流科学与工程西步文通大学C教育部重点实验室(b)Innernode method:Node is positioned at thecenter of sub-domain,Sub-domain is identical to controlvolume; Generating procedure: Interface first and nodesecond, called Practice B(by Patankar), or cell-1（单元中心法）centered methodAxe(斧头)1radian(1弧度）Sub-domainisthecontrol volumeCFD-NHT-EHTG9/46CENTER

9/46 (b) Inner node method：Node is positioned at the center of sub-domain; Sub-domain is identical to control volume; Generating procedure: Interface first and node second, called Practice B (by Patankar) , or cell￾centered method（单元中心法）. Sub-domain is the control volume 1 radian （1弧度） Axe (斧头)

热流科学与工程西步文通大堂E教育部重点实验室Generating procedure of Practice BCFD-NHT-EHTG10/46CENTER

10/46                                                                         Generating procedure of Practice B