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CPS615-Physical Simulation Techniques and Structure of CFD Equations

This started with a description of current Web set-up of CPS615 and other foilsets

Then we started the foilset describing Physical Simulations and the various approaches -- Continuum Physics, Monte Carlo, Quantum Dynamics, and Computational Fluid Dynamics

For CFD we do enough to discuss why viscosity and High Reynolds numbers are critical in air and similar media

We discuss computation and communication needs of CFD compared to Laplace equation

CPS615Master96                    Master Set of Foils for 1996 Session
                                    of CPS615
CPS615F95                         Background in Partial Differential 
                                   Equations with attention to CFD

Table of Contents for CPS615-Physical Simulation Techniques and Structure of CFD Equations

                    CPS615Master96 081 001 Delivered Lectures for 
                                           CPS615 -- Base Course for 
                                           the Simulation Track of 
                                           Computational Science
                                           Fall Semester 1996 --
                                           Lecture of November 14 - 
                                           1996
                    CPS615Master96 084 002 Abstract of Nov 14 1996 
                                           CPS615 Lecture

                         CPS615F95 004 003 Four Descriptions of Matter
                                            -- 
                                           Quantum,Particle,Statistical, Continuum
                                           
                         CPS615F95 005 004 Quantum Physics and 
                                           Examples of Use of 
                                           Computation
                         CPS615F95 006 005 Particle Dynamics and 
                                           Examples of Use of 
                                           Computation
                         CPS615F95 007 006 Particle Dynamics and 
                                           Example of Astrophysics
                         CPS615F95 008 007 Statistical Physics and 
                                           Comparison of Monte Carlo 
                                           and Particle Dynamics
                         CPS615F95 009 008 Continuum Physics as an 
                                           approximation to Particle 
                                           Dynamics
                         CPS615F95 010 009 Computational Fluid 
                                           Dynamics (CFD) as an an 
                                           Example of Continuum 
                                           Physics
                         CPS615F95 012 010 First Four Variables of 
                                           CFD: Derivation of the 
                                           Continuity Equation
                         CPS615F95 013 011 Travelling Time Derivatives
                                            (D/ Dt) versus local time 
                                           derivatives in continuity 
                                           equation
                         CPS615F95 014 012 Newton's Laws or the 
                                           Momentum Equation in CFD
                         CPS615F95 015 013 The Last (Energy) Equation 
                                           of CFD: Features of the 
                                           Full Navier Stokes Equation
                         CPS615F95 016 014 Discretization of CFD in 2 
                                           or 3 Dimensions -- Regular 
                                           Example
                         CPS615F95 017 015 This is a typical 
                                           non-uniform grid used to 
                                           define an aircraft
                         CPS615F95 019 016 NASA's Estimate of 
                                           Computing Needs for 
                                           Reynolds Averaged 
                                           Approximation (1994)
                         CPS615F95 025 017 Features of
                                           Navier Stokes Equations and
                                            role of (small) viscosity
                         CPS615F95 026 018 Simple Model CFD-like 
                                           Equation in Dimensionless 
                                           Form
                         CPS615F95 027 019 The Reynolds Number R and 
                                           Discussion of Interesting R
                                            and Viscosity Regimes
                         CPS615F95 028 020 Approximation levels for 
                                           CFD
                         CPS615F95 029 021 What is so Strange about 
                                           Large Reynolds Number? The 
                                           second derivative Anomaly
                         CPS615F95 030 022 Laminar Flow Compared to 
                                           Turbulent Flow Pictorially
                         CPS615F95 031 023 Why are boundaries 
                                           important in the 
                                           discontinuous limit of zero
                                            viscosity ?
                         CPS615F95 036 024 Large R Region - Boundary 
                                           Layer Analysis To 
                                           Extrapolate from Euler 
                                           Equation Regime to the 
                                           Boundary

List of Foils Used as they occur

CPS615Master96                    Master Set of Foils for 1996 Session
                                    of CPS615

CPS615F95                         Background in Partial Differential 
                                   Equations with attention to CFD

CPS615Master96                    Master Set of Foils for 1996 Session
                                    of CPS615

CPS615F95                         Background in Partial Differential 
                                   Equations with attention to CFD