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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.

time, Φ is the dissipation term, and ∇.q is the heat loss by conduction. Fourier’s law for heat transfer by conduction can be used to describe q as: q =−k∇T (4) where k is the coefficient of thermal conductivity, and T is the temperature. Depending on

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