# l3 - ME 608 Lecture 3 The General Scalar Transport Equation...

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ME 608 Lecture 3: The General Scalar Transport Equation Overview of Numerical Methods 1

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Last time… Understood how general scalar transport equation related to the governing equations we encounter in CFD Examined important classes of partial differential equations; understood their behavior and relation to general scalar transport equation 2
This time… Look at the main components of the CFD process Mesh types Typical discretization procedures » Finite difference, finite volume, finite element 3

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Components of CFD Solution Geometry creation Domain discretization (mesh generation) Discretization of governing equations Solution of discrete equations; accounting for non- linearities and inter-equation coupling Visualization and post-processing 4
Solution Process Analytical solution gives us (x,y,z,t). Numerical solution gives us only at discrete grid points. The process of converting the governing partial differential equation into discrete algebraic equations is call discretization. Discretization involves » Discretization of space using mesh generation » Discretization of governing equations to yield sets of algebraic equations 5

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Mesh Types Regular and body-fitted meshes Stair-stepped representation of complex geometry 6
Mesh Types (cont’d) Block- structured meshes Unstructured meshes 7

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Mesh Types Non- conformal mesh Hybrid mesh Cell shapes 8
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## This note was uploaded on 12/29/2011 for the course ME 608 taught by Professor Na during the Fall '10 term at Purdue.

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l3 - ME 608 Lecture 3 The General Scalar Transport Equation...

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