Basic HTML version of Foils prepared February 25 2000

Foil 4 Classes of Physical Simulations

From Parallel Programming for Particle Dynamics Extra Foils Computational Science CPS615 -- Spring 2000 Semester. by Geoffrey C. Fox
1 Mathematical (Numerical) formulations of simulations fall into a few key classes which have their own distinctive algorithmic and parallelism issues
2 Most common formalism is that of a field theory where quantities of interest are represented by densities defined over a 1,2,3 or 4 dimensional space.
  • Such a description could be "fundamental" as in electromagnetism or relativity for gravitational field or "approximate" as in CFD where a fluid density averages over a particle description.
  • Our Laplace example is of this form where field ? could either be fundamental (as in electrostatics) or approximate if comes from Euler equations for CFD
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