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Computational Fluid Dynamics for BLOODHOUND SSC - Swansea ...

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<strong>Computational</strong> <strong>Fluid</strong> <strong>Dynamics</strong> <strong>for</strong> <strong>BLOODHOUND</strong> <strong>SSC</strong><br />

By the College of Engineering at <strong>Swansea</strong> University<br />

1,000mph<br />

<strong>BLOODHOUND</strong> <strong>SSC</strong> is a car that hopes to reach<br />

1,000 mph (Mach 1.3 or 1.3 times the speed of<br />

sound) and set a new World Land Speed Record.<br />

18 Dec 1898<br />

July 21 1904<br />

Apr 27 1926 Mar 19 1927 Sep 3 1935<br />

Sept 5 1963 Nov 15 1965 Oct 23 1970 Oct 4 1983 Oct 15 1997<br />

39.24 mph<br />

The first official land speed record<br />

was set by Chasseloup-Laubat of<br />

France driving Jentaud Duc. It was<br />

an electric powered car and the<br />

record was set in Yvelines, France.<br />

103.56 mph<br />

The first car to go over 100 mph<br />

was Gobron Brille; an internal<br />

combustion engine powered car.<br />

It was driven by Louis Rigolly; a<br />

Frenchman at Ostend in Belgium.<br />

168.07 mph 203.79 mph 301.12 mph 407.447 mph 600.601 mph 622.407 mph 633.468 mph 763.035 mph<br />

J.G. Parry-Thomas drives Babs to a new<br />

record at Pendine Sands, Wales. This was<br />

bettered the next day (170.62 mph). Bluebird,<br />

driven by Malcolm Campbell, reached<br />

174.22 mph at Pendine the following year.<br />

Sunbeam 1,000hp was the first car to<br />

go over the 200 mph mark and was<br />

the first car to set a record outside of<br />

Europe. It was driven by Henry<br />

Seagrave at Daytona Beach in the USA.<br />

Malcolm Campbell drove<br />

Bluebird past the 300 mph mark<br />

at Bonneville Salt Flats, USA.<br />

No record had been set <strong>for</strong> nearly 30<br />

years and in 1963, the age of<br />

jet and rocket propulsion began. Craig<br />

Breedlove was the first man over 400<br />

mph, driving Spirit of America<br />

powered by a turbojet at Bonneville.<br />

The duel between Green Monster,<br />

built by Art Arfons, and Spirit of<br />

America began. Eventually<br />

Breedlove became the first man<br />

to exceed the 600 mph mark.<br />

The first rocket powered car to set a land<br />

speed record was Blue Flame driven by the<br />

American Gary Gabelich. It was the first<br />

record over 1,000 km/h (621 mph).<br />

Nearly 13 years later, Richard Noble<br />

(now project director of <strong>BLOODHOUND</strong><br />

<strong>SSC</strong>) drove Thrust 2 to a new land<br />

speed record. The record was set at<br />

Black Rock Desert in the USA.<br />

Noble, along with his team, then<br />

developed Thrust <strong>SSC</strong> powered by a<br />

turbofan. Andy Green, an RAF pilot,<br />

drove the car. It was the first to go<br />

over 700 mph and was the first to<br />

exceed the speed of sound on land.


The Navier-Stokes Equations<br />

The equations describing the compressible aerodynamic<br />

flows around <strong>BLOODHOUND</strong> <strong>SSC</strong> are called the<br />

Navier-Stokes equations (named after Claude-Louis<br />

Navier and George Gabriel Stokes). They <strong>for</strong>m a set of<br />

five partial differential equations, derived by considering<br />

the conservation of mass in equation (1), the conservation<br />

of momentum (Newton’s 2nd law of motion:<br />

Force=mass x acceleration) in equations (2) to (4),<br />

and finally the conservation of energy in equation (5).<br />

Mathematicians cannot prove that solutions to these<br />

equations always exist in 3D models but CFD can yield<br />

highly accurate approximated solutions to these equations.<br />

The Clay Mathematics Institute has recognised that solving<br />

the Navier-Stokes equations is one of the most important<br />

problems in all of maths and if someone were to come up<br />

with a proof, then a $1 million prize will be awarded.<br />

Claude Navier<br />

1785-1836<br />

George Stokes<br />

1819-1903<br />

Spray Drag<br />

As <strong>BLOODHOUND</strong> <strong>SSC</strong> travels at supersonic speed, the<br />

shockwaves created around the body of the car, interact with<br />

the surroundings disturbing the desert surface. This causes sand<br />

and dust particles to rise from the ground under the influence of<br />

pressure <strong>for</strong>ces and these particles will then be moved up into the<br />

air by resistive drag <strong>for</strong>ces. If there are enough particles in the air,<br />

then the air speed will be significantly affected. This could result in<br />

additional resistive <strong>for</strong>ces acting on the car which are not typically<br />

accounted <strong>for</strong> in CFD analysis.<br />

It is believed that this ‘spray drag’ phenomena will have a crucial<br />

effect on the aerodynamic per<strong>for</strong>mance of <strong>BLOODHOUND</strong> <strong>SSC</strong><br />

and researchers at <strong>Swansea</strong> University are modelling the impact<br />

that this may have on the car’s top speed.<br />

High Per<strong>for</strong>mance Computing<br />

CFD calculations could be done by hand,<br />

but it would take an extremely long time.<br />

Practically, a supercomputing cluster must<br />

be used to solve them using parallel<br />

processing. The procedure <strong>for</strong> CFD analysis<br />

is as follows:<br />

1. The definition of the vehicle surface to be examined is provided to<br />

the team at <strong>Swansea</strong> University as a Computer Aided Design (CAD)<br />

output from the engineers based in the design office in Bristol<br />

2. This CAD output is analysed and a computational mesh is generated<br />

using the FLITE computer system, developed at the College of<br />

Engineering at <strong>Swansea</strong> University<br />

3. The mesh is <strong>for</strong>matted using in-house pre-processing software in such<br />

a way that the <strong>Swansea</strong> University supercomputing cluster can be<br />

used to run the solver program<br />

4. In-house fluid solver software containing the Navier-Stokes solution<br />

algorithm is run on the supercomputing cluster<br />

5. A ‘post-processing’ software package is used to convert the solutions<br />

coming from the solver into meaningful flow visualisation plots and<br />

<strong>for</strong>ce distributions<br />

Imaging by Curventa<br />

How is CFD used <strong>for</strong> <strong>BLOODHOUND</strong> <strong>SSC</strong>?<br />

Visualisation of the airflow around <strong>BLOODHOUND</strong> <strong>SSC</strong><br />

aids the design team in understanding the behaviour of<br />

the aerodynamics. Flow phenomena such as shock waves,<br />

boundary layers and pressure distributions can be displayed.<br />

The aim is to reduce drag <strong>for</strong>ces which may prevent the car<br />

from reaching its maximum speed and to control the lift of the<br />

car. High pressure beneath the car at high speeds would be<br />

extremely dangerous and CFD is used to alleviate this. Further<br />

analysis and modifications are then applied to the next<br />

configuration as the car design evolves.<br />

<strong>Computational</strong> <strong>Fluid</strong> <strong>Dynamics</strong><br />

<strong>for</strong> <strong>BLOODHOUND</strong> <strong>SSC</strong><br />

By the College of Engineering at <strong>Swansea</strong> University<br />

What is <strong>Computational</strong> <strong>Fluid</strong> <strong>Dynamics</strong>?<br />

DRAG<br />

REAR WHEELS<br />

WEIGHT<br />

LIFT<br />

FRONT WHEELS<br />

THRUST<br />

<strong>BLOODHOUND</strong> <strong>SSC</strong> is a car that hopes to reach 1,000 mph<br />

(Mach 1.3 or 1.3 times the speed of sound) and set a new<br />

World Land Speed Record. Engineers based at <strong>Swansea</strong><br />

University will be using computational fluid dynamics (CFD) to<br />

assist the aerodynamic design process. CFD is a branch of fluid<br />

mechanics that models the movement of fluids over surfaces,<br />

by using numerical methods such as the finite element method,<br />

and sets of instructions, called algorithms. Traditionally, designs<br />

would have been tested in a wind tunnel using an accurate<br />

scale model of the car and a rolling road to simulate ground<br />

effects. There are no rolling roads which can replicate<br />

speeds of 1,000 mph, so this type of experimental testing is<br />

inappropriate. CFD has no such limitations and, in addition,<br />

it reduces the turnaround time between design modifications.<br />

To analyse the airflow over the car, 3D meshes are generated in<br />

the surrounding volume (domain). This domain is split into millions<br />

of tiny pieces called elements, with each element representing<br />

a volume of space. The elements are generally in the <strong>for</strong>m of<br />

tetrahedra, pyramids or prisms. It is possible to reach a very<br />

accurate approximation of the fluid flow behaviour by solving<br />

the Navier-Stokes Equations on each of these elements.<br />

CFD was used in the design process of Thrust <strong>SSC</strong>, the current<br />

Land Speed Record holder. The CFD process was validated<br />

using rocket tests at Pendine Sands in South Wales. CFD is<br />

used throughout the aerospace industry to model airflows <strong>for</strong><br />

commercial and military applications.

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