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Lectures on computational fluid dynamics

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Prof Dr.-Ing habil Nikolai Kornev; Prof Dr.-Ing habil Irina Cherunova

Lectures on computational fluid

dynamics

Applications to human thermodynamics

Download free books at

Trang 2

Prof Dr.-Ing habil Nikolai Kornev & Prof Dr.-Ing habil Irina Cherunova

Lectures on computational luid dynamics

Applications to human thermodynamics

Download free eBooks at bookboon.com

Trang 3

Lectures on computational luid dynamics: Applications to human thermodynamics

© 2015 Prof Dr.-Ing habil Nikolai Kornev & Prof Dr.-Ing habil Irina Cherunova &

bookboon.com

ISBN 978-87-403-0815-0

Download free eBooks at bookboon.com

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Lectures on computational luid dynamics

4

Contents

Contents

List of Tables 10

List of Figures 11

I Introduction into computational methods for solution of transport equations 16

1 Main equations of the Computational Heat and Mass Transfer 17

1.1 Fluid mechanics equations 17

1.2 Heat conduction equation 25

2 Finite diference method 27

2.3 Time derivatives Explicit versus implicit 31

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Lectures on computational luid dynamics

5

Contents

3 Stability and artiicial viscosity of numerical methods 33

3.2 Stability Courant Friedrich Levy criterion (CFL) 35

4 Simple explicit time advance scheme for solution of the Navier

Stokes Equation 38

4.4 Approximation of ı u

n

i u n j

4.5 Approximation of ıxıj

ı u n i

4.6 Calculation of the r.h.s for the Poisson equation (4.6) 47

4.7 Solution of the Poisson equation (4.6) 47

4.8 Update the velocity ield 47

4.9 Boundary conditions for the velocities 48

4.10 Calculation of the vorticity 48

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