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An Introduction to Computational Fluid Dynamics

An Introduction to Computational Fluid Dynamics Chapter 20 in Fluid Flow Handbook By Nasser Ashgriz & Javad Mostaghimi Department of Mechanical & Industrial Eng. University of Toronto Toronto, Ontario 1 1 Introduction :..2 2 Mathematical 3 Governing 3 Boundary Conditions .. 5 Example .. 7 3 Techniques for Numerical Discretization .. 9 The finite Difference Method .. 9 The finite Element Method .. 11 The finite Volume Method .. 14 Spectral methods .. 15 Comparison of the Discretization 16 4 Solving The Fluid Dynamic 17 Transient-Diffusive Terms .. 17 finite Difference Approach .. 17 finite Element 21 Transient-Convective Terms .. 24 Shock Capturing methods .. 26 Convective-Diffusive Terms .. 27 Incompressible Navier-Stokes Equations.

flow solver: (i) finite difference method; (ii) finite element method, (iii) finite volume method, and (iv) spectral method. (3) A post-processor, which is used to massage the data and show the results in graphical and easy to read format. In this chapter we are mainly concerned with the flow solver part of CFD. This chapter is

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