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Overview of Monte Carlo Case Study

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).

CPS713Overview94Master    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

• Note Module was updated 1996 but not overview which is Autum 1994 version

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    CPS713Overview94Master 021 001 CPS 713--Case study II
                                   August to December1994 - Case 
                                   Studies in Computational Science
                                   -- Overview of Second Case Study
                                   CFD and Numerical Relativity
    CPS713Overview94Master 022 002 Abstract for CPS713 Case Study II) 
                                   Computational Fluid Dynamics and 
                                   Numerical Relativity
    CPS713Overview94Master 023 003 Further Remarks on CPS713 Case 
                                   Study II) Computational Fluid 
                                   Dynamics and Numerical Relativity 
    CPS713Overview94Master 024 004 Overview of Topics in CPS713 Case 
                                   Study II) Computational Fluid 
                                   Dynamics and Numerical Relativity
    CPS713Overview94Master 025 005 CPS713 Case Study II)CFD+NNR -- 
                                   Motivation of The NAS Benchmarks
    CPS713Overview94Master 026 006 CPS713 Case Study II) --Use of The 
                                   NAS Benchmarks
    CPS713Overview94Master 027 007 CPS713 Case Study II) -- Overview 
                                   of Computational Toolkit Issues
    CPS713Overview94Master 028 008 CPS713 Case Study II) -- Remainder 
                                   of Basic Module (What will be in 
                                   The Long Discussion of Subject 
                                   after one lecture Overview)
    CPS713Overview94Master 029 009 CPS713 Case Study II) Overview 
                                   Features of Numerical Relativity
    CPS713Overview94Master 030 010 CPS713 Case Study II) Comparison of
                                    Numerical Relativity with 
                                   Maxwell's Equations
    CPS713Overview94Master 031 011 CPS713 Case Study II) Computational
                                    Features of Numerical Relativity
    CPS713Overview94Master 032 012 CPS713 Case Study II) Computational
                                    Features of Numerical Relativity 
                                   (Contd) -- Singularity Structure
    CPS713Overview94Master 033 013 CPS713 Case Study II) Computational
                                    Features of Numerical Relativity 
                                   (Contd) -- Black Hole Boundary 
                                   Condition
    CPS713Overview94Master 034 014 CPS713 Case Study II) Computational
                                    Needs for CFD and Numerical 
                                   Relativity
    CPS713Overview94Master 035 015 CPS713 Case Study II) Some Common 
                                   Issues between CFD and Numerical 
                                   Relativity
    CPS713Overview94Master 036 016 CPS713 Case Study II) Computer 
                                   Science Support for CFD and NR -- 
                                   Portable Scalable Software Tools
    CPS713Overview94Master 037 017 CPS713 Case Study II) Further 
                                   Computer Science Issues for CFD and
                                    NR Computational Toolkit
    CPS713Overview94Master 038 018 CPS713 Case Study II) Specific 
                                   Toolkit Modules Needed
    CPS713Overview94Master 039 019 CPS713 Case Study II) Specific 
                                   Toolkit Modules Needed -- Parallel 
                                   Grid Generation

List of Foils Used as they occur

CPS713Overview94Master    Master set for Case Studies of Computational
                            Science -- Overview of 3 Areas (Monte 
                           Carlo,CFD/Numerical Relativity,Information 
                           Age)

CPS713Overview94Master    Master set for Case Studies of Computational
                            Science -- Overview of 3 Areas (Monte 
                           Carlo,CFD/Numerical Relativity,Information 
                           Age)