Introduction

Importance of an Identity

Identity Platform

Brand Personality

Terminology

05

Terminology cont.

Boston University Brand Identity Standards

Boston University College of Arts & Sciences

Boston University College of Arts & Sciences

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ME 702Computational Fluid Dynamics, CFD

Prof. Lorena A. Barba2013 Class slides released under CC-BY 3.0

Hyper-X at Mach 7, NASA image in the public domain

F1 car by Advantage CFD

Human airways, by FuiDA nv

The Finite Volume Method

‣ The most widely used method in CFD.Why?

- Very general, flexible

- can handle any type of grid

- Essential advantage: Conservative discretization

‣ Uses the Integral Formulation of the conservation laws

2

The FVM Conservative discretization

‣What is a conservation law?

3

The FVM Conservative discretization

‣What is a conservation law?

4

�

�t

�

�U d�+

�

S

⇥F · d⇥S =

�

�Q d�

variationof U

surfacefluxes

sources

The FVM Discretization

‣ Divide the domain into many (small) sub-domains

‣ satisfy the conservation law in each sub-domain (finite volume)

5

�j

@

@t

Z

⌦j

U d⌦+

Z

Sj

~F · d~S =

Z

⌦j

Q d⌦

�

�t(Uj ⇥j) +

�

faces

⇥F ·�⇥S = Qj⇥j

average average

The FVM Discretization

‣ fluxes need to be consistent

6

�

�t(Uj ⇥j) +

�

faces

⇥F ·�⇥S = Qj⇥j

A

B

C

D

E

⌦1

⌦2

⌦3

Write the conservation law for each volume