A Colorful Virtual Universe Called CFD

8/12/2019 A Colorful Virtual Universe Called CFD

1/46


2/46

Do you know what is the longest equationever known to mankind?

Have you ever wondered Why to add terms in aequation which influences negligibly?

3/4/2014 Senthilkumar R Department of Aeronautical Engineering and Technology MZCET

Ans: Standard model Langragian density


3/46

What is the fastest processor, right now?

Have you ever wondered Why people in intel losing their

sleep to speed up their processor?

How does speeding up processormakes engineering easier?

Who all are buying a system whichspeed differs only by a

milliseconds but cost different bythousand of bucks?


Ans: _____


4/46

Research Work

Experimental

Theoretical (E=Mc2)

Nowadays not all the researchers are working neither with paper and pencil noron the field,

Computational



5/46

Computational science and engineering


Computational science and engineering

is neither computer science, mathematics, some traditional field of science,

engineering, a social science, nor a humanities field. It is a blend.

is the intermediate branch between theoretical and experimental physics

is the study and implementation of numerical algorithms to solve problems inPhysics for which a quantitative theory in the form of equation already exists.


6/46

Equations


Fluid flows Chemical Physics Electrical Structural

Conservationof mass,Momentumequation,Energy

equation,Ideal gas,.

Bohr ModelQuantum physicsmodel -Schroedingerequation

Ohms lawLenz lawFleming righthand

Finite elementmethod

FluentOpenFoamStar CCM

Gaussian xx,Gaussian 94currentlyGAMESSMOPACSpartanSybyl

ScilabMapleRoot

Matlab AnsysNastran Patran


7/46

Division of Labor

Most of the work in solving a problem is still done in thephysicists head

Derive the equations that represent the system of interest Understand all the approximations and limitations (conditions for

validity) Determine how to instruct the computer to solve the equations

The computer does what it is told to do. The physicist has to interpret the computers output Computational solutions are theoretical predictions (based

on the equations). They must eventually be compared tomeasurements.


8/46

Solving equations Some special equations have an analytical, or closed -

form, solution, which is a certain known function orcombination of functions.

Most equations (or sets of equations) must be solvednumerically , using a computer. The resulting solution is

approximate, and consists only of a set of numbers

d 2

pdt 2

2 p 0 p(t ) Asin( t )


9/46

Visualizing results

In most cases, you will want to make a plot of thesolution, in order to visualize how certain quantities

depend on others. This is something that a computer is especially good

at.


10/46

1. Equations - you cannot neglect term which contributes even smaller tophysics.

2. Numerical methods

3. Boundary conditions

4. Programming Fortran77, 95. , C, C++, Ada

5. Iterations Need faster processing speed- processor

6. Satisfied

7. Just got to step 1



11/46

History British Meteorologist L.F. Richardson at 1922 for numerical weather

prediction

1940 - The Beginning of Computational Science - ballistics andnuclear weapons design problems

1970s-1980s the adolescence of ComputationalScience supercomputing revolution- commercial aircraft design

1990s-present the prime of life of Computational Science, theexplosion of parallel computing

Current emphasis is on achieving sustained FLOPS rates on largeparallel machines mostly to address complex engineering problems.



12/46

Advantages Hazardous and complex environment can be easilly

handled. Once you get a good validated results, you are master in

that problem You can be crazy, CSE will answer you ( sometimes

slaps you)



13/46

1st conference on Physics ofComputation, MIT, 1981



14/46

History of Hardware



15/46

That's all about the theory of Colorf ul Science & Eng ineering

How this CSE is itself a another world universe?



16/46

Length and breath of CSE

Model - a problem of creation of everything

From DNA to Big Bang Theory


"If the Lord Almighty had consulted me before embarking on creationthus, I should have recommended something simpler . Alfanso X


17/46

Formationof Universe

Galaxy

Solarsystem

DNA

Evolutionof life on

earth

Is lifeanywhere?Cyclone

Atombomb

Pollution

Death ofstar

Parallel

universe


Superpower

Model - a problem of creation of everything


18/46

Formation of Universe Theory - Big bang theory Geneva experiment



19/46

Search for God particles


Standford UniversityUniversity of Southampton

http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/ http://kipac.stanford.edu/kipac/projects/computational_astrophysics
http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/http://news.it.ufl.edu/research/big-bang-theory-two-million-hours-of-computing-time-logged-in-october/


20/46

Formation of Universe big bang theory

Computational astrophysicsDurham University

What were the first objects inthe Universe?

How do galaxies form?

What is the nature of the dark matter and dark energy?

Where does the large-scale structure of the universe come from?

What is the fate of the Universe?

Source: http://icc.dur.ac.uk/

http://icc.dur.ac.uk/http://icc.dur.ac.uk/http://icc.dur.ac.uk/


21/46

Formation of Universe big bang theory


Institute of Computational Cosmology

Goal: understand origin and evolution of cosmicstructures

You should be familiar with:Basic concepts in Big Bang theoryThe contents of the UniverseThe expansion properties of the Universe


22/46


23/46

Solar systemComputational Magnetospheric Research - Jeffrey Hughes, BostonUniversity


http://www.bu.edu/tech/about/research/help/gallery/cism/ http://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.html http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/
http://www.bu.edu/tech/about/research/help/gallery/cism/http://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://www.wired.com/wiredscience/2011/01/mars-dynamo-death/http://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://phys.org/news/2013-02-retention-enigmatic-ribbon-edge-solar.htmlhttp://www.bu.edu/tech/about/research/help/gallery/cism/


24/46

Evolution of life on earth

The University of Texas at Austin.http://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtml


https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452

key to understanding life on earth formedChemists show life on Earth was not a fluke
http://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtmlhttp://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtmlhttps://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452https://theconversation.com/chemists-show-life-on-earth-was-not-a-fluke-19452http://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtmlhttp://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtmlhttp://www.scienceagogo.com/news/20090519010622data_trunc_sys.shtml


25/46

DNA Beth Gwinn Group The connection between DNA sequence and Ag:DNA color remains

poorly understood. It is well-established that the sequence of basescomposing the DNA templating strand selects the fluorescence colorof the silver cluster, but no one knows exactly how this process occurs.

A better understanding of the color selection process would not onlyincrease our understanding of how Ag:DNA are formed but couldalso lead to predictive design methods for new template DNA strandsto stabilize clusters with desired characteristics.

We are currently studying large data sets collected using robotic clustersynthesis and rapid array scanning to "crack the color code" thatconnects sequence to color. Our computationally minded studies are incollaboration with Prof. Ambuj Singh and Dr. Petko Bogdanov

http://web.physics.ucsb.edu/~gwinngroup/research2014_robot.html

http://www.cs.ucsb.edu/~ambuj/http://www.cs.ucsb.edu/~petko/http://www.cs.ucsb.edu/~petko/http://www.cs.ucsb.edu/~petko/http://www.cs.ucsb.edu/~petko/http://www.cs.ucsb.edu/~petko/http://www.cs.ucsb.edu/~ambuj/http://www.cs.ucsb.edu/~ambuj/http://www.cs.ucsb.edu/~ambuj/http://www.cs.ucsb.edu/~ambuj/


26/46

DNA


http://ccr.buffalo.edu/services/visualization/medical---scientific-visualization/dna-protein.html


27/46

Cyclone


Cyclone: PhailinCausality : 05Evacuated : 5,50,000

Naveen Patnaik


28/46

Sandy


Source : http://www.vapor.ucar.edu/gallery/hurricane-sandy/hi-res


29/46

Atom bomb


National security and weapons science

https://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.php

http://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-making

Was Buddha really laughed?
https://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttp://physicsworld.com/cws/article/news/2008/feb/15/antineutrinos-sniff-out-signs-of-nuclear-bomb-makinghttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.phphttps://www.lanl.gov/science-innovation/capabilities/national-security-weapons-science/index.php


30/46

Pollution

3/4/2014 Senthilkumar R Department of Aeronautical Engineering and Technology MZCEThttp://www.ucar.edu/news/features/urbanair/
http://www.ucar.edu/news/features/urbanair/http://www.ucar.edu/news/features/urbanair/http://www.ucar.edu/news/features/urbanair/


31/46

Pollution


Source: http://www.pnl.gov/science/highlights/highlight.asp?id=997
http://www.pnl.gov/science/highlights/highlight.asp?id=997http://www.pnl.gov/science/highlights/highlight.asp?id=997http://www.pnl.gov/science/highlights/highlight.asp?id=997http://www.pnl.gov/science/highlights/highlight.asp?id=997


32/46

Death of star

http://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.html

http://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.htmlhttp://www.mpa-garching.mpg.de/mpa/research/current_research/hl2012-9/hl2012-9-en.html


33/46

CFD is art or science? Please recall it is not just only computing,

analyzing, engineering it itself constitute auniverse where terms in equation walks, eat, live

with iteration and computation



34/46

Uses

CyclingMotors

AirplaneCycloneSky scrapers



35/46

Uses ( Cont.)

Circuit

Atom bombMedicine TerrorismDolphin swimming



36/46

Do not take it simple Failure analysis of Colombia before and after

the accident. Computational study is on terrorism attack also.



37/46

State of art LES Direct numerical Simulation requirement

- Now you can understand whatever the speed ofprocessor we got will not be good enough.



38/46

Indias power of CFD Supercomputing in India India's supercomputer program was started in

late 1980s because Cray supercomputers weredenied for import due to an arms embargoimposed on India, as it was a dual usetechnology and could be used fordeveloping nuclear weapons

http://en.wikipedia.org/wiki/Supercomputing_in_India

http://en.wikipedia.org/wiki/Indiahttp://en.wikipedia.org/wiki/Supercomputerhttp://en.wikipedia.org/wiki/Crayhttp://en.wikipedia.org/wiki/Supercomputershttp://en.wikipedia.org/wiki/Nuclear_weaponshttp://en.wikipedia.org/wiki/Supercomputing_in_Indiahttp://en.wikipedia.org/wiki/Supercomputing_in_Indiahttp://en.wikipedia.org/wiki/Supercomputing_in_Indiahttp://en.wikipedia.org/wiki/Supercomputing_in_Indiahttp://en.wikipedia.org/wiki/Supercomputing_in_Indiahttp://en.wikipedia.org/wiki/Nuclear_weaponshttp://en.wikipedia.org/wiki/Nuclear_weaponshttp://en.wikipedia.org/wiki/Supercomputershttp://en.wikipedia.org/wiki/Crayhttp://en.wikipedia.org/wiki/Supercomputerhttp://en.wikipedia.org/wiki/India


39/46

Facilities in our institution CFD Lab Lab 13 OpenFoam

Fluent Gambit



40/46

Ongoing projects

Blunt body aerospike

Aerospike nozzle CFJ Compressor

blade Non circular

missiles Inlet Turbine blade



41/46

Upcoming events



42/46

Suggestions

www.spoken-tutorials.org Simulink

Skilab

Upcoming events

OpenFoam Workshop Feb 1st week

http://www.spoken-tutorials.org/http://www.spoken-tutorials.org/http://www.spoken-tutorials.org/http://www.spoken-tutorials.org/


43/46

Conclusion It does seem to be true that all various field theories

have the same kind of behavior, and can be simulatedevery way .

Nature isn't classical, dammit, and if you want tomake a simulation of Nature, you'd better make itquantum mechanical, and by golly it's a wonderful

problem, because it doesn't look so easy. -Feynman

If physics is too hard for classical computers, then build aphysical computer that exploits that power.



44/46

Not every scientific discovery originates in thelab, or from the field. Scientists increasingly areturning to powerful new computers to perform

calculations they couldn't do with earliergeneration machines, and at breathtaking speed,resulting in groundbreaking computationalinsights across a range of research fields.

Read more at: http://phys.org/news/2013-03-advances-scientific-discovery.html#jCp

http://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.htmlhttp://phys.org/news/2013-03-advances-scientific-discovery.html


45/46

Refernces: An Introduction to Computational Physics Tao

Pang http://icc.dur.ac.uk/

Galaxy formation lecture by Carlton Baugh http://kipac.stanford.edu/kipac/projects/computational_astrophysics

http://en.wikipedia.org/wiki/Cyclone_Phailin

http://en.wikipedia.org/wiki/Alfonso_X_of_Castile Higgs bosons: theory and searches g. Bernard

http://www.physics.unlv.edu/~pang/cp.htmlhttp://www.physics.unlv.edu/~panghttp://www.physics.unlv.edu/~panghttp://icc.dur.ac.uk/http://kipac.stanford.edu/kipac/projects/computational_astrophysicshttp://kipac.stanford.edu/kipac/projects/computational_astrophysicshttp://en.wikipedia.org/wiki/Cyclone_Phailinhttp://en.wikipedia.org/wiki/Alfonso_X_of_Castilehttp://en.wikipedia.org/wiki/Alfonso_X_of_Castilehttp://en.wikipedia.org/wiki/Alfonso_X_of_Castilehttp://en.wikipedia.org/wiki/Alfonso_X_of_Castilehttp://en.wikipedia.org/wiki/Alfonso_X_of_Castilehttp://en.wikipedia.org/wiki/Cyclone_Phailinhttp://en.wikipedia.org/wiki/Cyclone_Phailinhttp://kipac.stanford.edu/kipac/projects/computational_astrophysicshttp://kipac.stanford.edu/kipac/projects/computational_astrophysicshttp://kipac.stanford.edu/kipac/projects/computational_astrophysicshttp://icc.dur.ac.uk/http://icc.dur.ac.uk/http://www.physics.unlv.edu/~panghttp://www.physics.unlv.edu/~panghttp://www.physics.unlv.edu/~pang/cp.htmlhttp://www.physics.unlv.edu/~pang/cp.html


46/46

Documents

A Colorful Virtual Universe Called CFD