Tuppence Worth Donations

[gotmilk]

Know a highschool student good* in math & science?

The easy access to super fast computers makes for a career many times more exciting,
and possible to develope advances, than was possible just a few years ago.

Be it scientist or engineer, the usage of computers to "get the job done"
can be as fun as kids playing pc games, but here it real stuff and important.

* good, as in top of class with external projects done

For sure when they get settled in at about age 25 they will ask themselves:

- what have I done
- what am I doing
- what will I be doing

Then they will look at Dad & Mom and reflect on the wisdom given.
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I.
A Fourier series is an expansion of a periodic function
http://mathworld.wolfram.com/PeriodicFunction.html
in terms of an infinite sum of sines
http://mathworld.wolfram.com/Sine.html
and cosines.
http://mathworld.wolfram.com/Cosine.html

Fourier series make use of the orthogonality
http://mathworld.wolfram.com/OrthogonalFunctions.html
relationships of the sine and cosine functions.

The computation and study of Fourier series is known as harmonic analysis
http://mathworld.wolfram.com/HarmonicAnalysis.html
and is extremely useful as a way to break up an arbitrary periodic function
into a set of simple terms that can be plugged in, solved individually,
and then recombined to obtain the solution to the original problem
or an approximation to it to whatever accuracy is desired or practical.
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II.
http://www.falstad.com/fourier/
This java applet demonstrates Fourier series, a method of expressing an arbitrary
periodic function as a sum of cosine terms. Can be used to express a function
in terms of the frequencies (harmonics) it is composed of.
This applet has sound if you are using java 2.
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III.

http://www.jhu.edu/~signals/fourier2/
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IV.

http://www.jhu.edu/~signals/phasorlecture2/indexphasorlect2.htm
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V.
http://seesar.lbl.gov/ccse/Research/Combustion/tfs.html

Two-dimensional turbulent flame sheet


Three-dimensional turbulent flame sheet
1.

Developing flame surface (click image for mpeg movie, or here for Gif89a movie)
2.

Turbulent fuel inflow (click image for mpeg movie, or here for Gif89a movie)
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doug