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Overview of Monte Carlo Case Study

Given by Geoffrey C. Fox, Paul Coddington at CPSP713 on Autumn Semester 1994. Foils prepared 15 March 1996

CFD (Computational Fluid Dynamics) and NR (Numerical Relativity) both involve the solution of second order partial differential equations (PDE's) describing physical phenomena.
This case study will study both applications and then look at the computer science (computational) issues which are both common and distinct.
This will allow us to study the requirements of a computational toolkit for general solution of second order PDE's.
These two applications are by no means the only applications but they cover a broad range of issues.
CFD can be defined narrowly as confined to aerodynamic flow around vehicles but it can be generalized to include as well such areas as weather and climate simulation, flow of pollutants in the earth, and flow of liquids in oil fields (reservoir modelling).

This mixed presentation uses parts of the following base foilsets which can also be looked at on their own!
Master set for Case Studies of Computational Science -- Overview of 3 Areas (Monte Carlo,CFD/Numerical Relativity,Information Age)

Table of Contents for Overview of Monte Carlo Case Study

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Overview of Monte Carlo Module
1 CPS 713--Case study II
August to December1994 - Case Studies in Computational Science
-- Overview of Second Case Study
CFD and Numerical Relativity
2 Abstract for CPS713 Case Study II) Computational Fluid Dynamics and Numerical Relativity
3 Further Remarks on CPS713 Case Study II) Computational Fluid Dynamics and Numerical Relativity
4 Overview of Topics in CPS713 Case Study II) Computational Fluid Dynamics and Numerical Relativity
5 CPS713 Case Study II)CFD+NNR -- Motivation of The NAS Benchmarks
6 CPS713 Case Study II) --Use of The NAS Benchmarks
7 CPS713 Case Study II) -- Overview of Computational Toolkit Issues
8 CPS713 Case Study II) -- Remainder of Basic Module (What will be in The Long Discussion of Subject after one lecture Overview)
9 CPS713 Case Study II) Overview Features of Numerical Relativity
10 CPS713 Case Study II) Comparison of Numerical Relativity with Maxwell's Equations
11 CPS713 Case Study II) Computational Features of Numerical Relativity
12 CPS713 Case Study II) Computational Features of Numerical Relativity (Contd) -- Singularity Structure
13 CPS713 Case Study II) Computational Features of Numerical Relativity (Contd) -- Black Hole Boundary Condition
14 CPS713 Case Study II) Computational Needs for CFD and Numerical Relativity
15 CPS713 Case Study II) Some Common Issues between CFD and Numerical Relativity
16 CPS713 Case Study II) Computer Science Support for CFD and NR -- Portable Scalable Software Tools
17 CPS713 Case Study II) Further Computer Science Issues for CFD and NR Computational Toolkit
18 CPS713 Case Study II) Specific Toolkit Modules Needed
19 CPS713 Case Study II) Specific Toolkit Modules Needed -- Parallel Grid Generation
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