HTML version of Scripted Foils prepared 29 December 1996

Foil 18 Simple Model CFD-like Equation in Dimensionless Form

From CPS615-Physical Simulation Techniques and Structure of CFD Equations Delivered Lectures of CPS615 Basic Simulation Track for Computational Science -- 14 November 96. by Geoffrey C. Fox *
Secs 77.7
1 What sort of equations does CFD give ?
2 Put x component of velocity u = v x
3 and let r be density and p pressure
4 Take the case of incompressible flow where the density of fluid is constant
5 r ¶u/ ¶t + r ( v .Ñ) u = - ¶p/ ¶x + m Ñ 2u
6 Make dimensionless with scaling transformations
7 x ® x / L
8 t ® t / T
9 v ® v / V
10 u ® u / V
11 p ® p / ( r V2 )
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