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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 .. 30 Pressure-Based 30 5 Basic Solution 34 Direct 34 Iterative Methods.

more boundaries of a computational region is an important and useful computational tool. Pressure boundaries represent such things as confined reservoirs of fluid, ambient laboratory conditions and applied pressures arising from mechanical devices. Generally, a pressure condition cannot be used at a boundary where velocities are also specified,

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