Numerical HeatTransfer（数值传热学）Chapter2 Discretizationof ComputationalDomainandGoverning Equations
Numerical Heat Transfer (数值传热学) Chapter 2 Discretization of Computational Domain and Governing Equations
Contents（网格生成）(DomainDiscre-2.1 GridGenerationTtization)2.2TaylorExpansionMethod（Taylor展开法）forEquation DiscretizationinFD（控制容积积分）2.3Control VolumeIntegrationandHeatBalanceMethodsforEquationDiscretizationinFV2/44
2/44 2.1 Grid Generation (网格生成)（Domain Discretization） 2.2 Taylor Expansion Method（Taylor 展开法） for Equation Discretization in FD 2.3 Control Volume Integration （控制容积积分） and Heat Balance Methods for Equation Discretization in FV Contents
2.1 Grid Generation (Domain Discretization)2.1.1 Task, method and classification of domaindiscretization2.1.2Expressionofgridlayout（布置）2.1.3 Introduction to different methods of gridgeneration2.1.4 Comparison between Practices A and B2.1.5Grid-independent（网格独立解）solution3/44
3/44 2.1 Grid Generation (Domain Discretization) 2.1.1 Task, method and classification of domain discretization 2.1.3 Introduction to different methods of grid generation 2.1.4 Comparison between Practices A and B 2.1.2 Expression of grid layout (布置） 2.1.5 Grid-independent （网格独立解）solution
2.1 Grid Generation2.1.1 Task, method and classification1. Task of domain discretizationDiscretizing the computational domain into anumberof sub-domainswhicharenotoverlapped(重叠andcancompletelycovertheentirecomputationaldomainFour kinds of information can be obtained:(1) Node (节点 :the position at which the values ofdependent variables are solved:e（CV,控制容积）：theminimum(2)Controlvolumevolume to which the conservation law is applied:(3)Interface（界面):boundary of two neighboringCVs.（相邻的）4/44
4/44 2.1 Grid Generation 2.1.1 Task, method and classification 1. Task of domain discretization Discretizing the computational domain into a number of sub-domains which are not overlapped(重叠) and can completely cover the entire computational domain. Four kinds of information can be obtained: (1) Node（节点） :the position at which the values of dependent variables are solved; (2) Control volume （ CV, 控制容积） : the minimum volume to which the conservation law is applied; (3) Interface（界面） :boundary of two neighboring （相邻的） CVs
(4) Grid lines（网格线）：Curvesformedbyconnectingtwo neighboring nodesThe spatial (空间的)relationshipbetweentwo neighboringnodes, the influencing coefficients (影响系数),will be decided inthe procedure of the equation discretization.2.Classification of domain discretization method(1)Accordingtonoderelationship:structured（结构化）vs.unstructured（非结构化）(2) According to node position: inner node vs. outernode2.1.2Expressionofgridsystem（网格系统表示）Grid line-solid line;Interface-dashed line（虚线）;Distance between two nodes - xDistance between two interfaces- Ax5/44
5/44 (4) Grid lines（网格线） : Curves formed by connecting two neighboring nodes. 2. Classification of domain discretization method (1)According to node relationship: structured (结构化） vs. unstructured（非结构化） (2) According to node position：inner node vs. outer node 2.1.2 Expression of grid system (网格系统表示) Grid line－solid line；Interface-dashed line（虚线）； Distance between two nodes－ x The spatial (空间的) relationship between two neighboring nodes, the influencing coefficients (影响系数), will be decided in the procedure of the equation discretization. Distance between two interfaces－ x