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CPS615-Physical Simulation Techniques and Structure of CFD Equations

Given by Geoffrey C. Fox at Delivered Lectures of CPS615 Basic Simulation Track for Computational Science on 14 November 96. Foils prepared 29 December 1996

Secs 64.8

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


This mixed presentation uses parts of the following base foilsets which can also be looked at on their own!
Master Set of Foils for 1996 Session of CPS615
Background in Partial Differential Equations with attention to CFD

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

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CPS 615 Lectures 1996 Fall Semester -- November14

Introduction to Web Resources for Class
1 Delivered Lectures for CPS615 -- Base Course for the Simulation Track of Computational Science
Fall Semester 1996 --
Lecture of November 14 - 1996
2 Abstract of Nov 14 1996 CPS615 Lecture

Introduction to Physical Simulation and CFD
3 Four Descriptions of Matter -- Quantum,Particle,Statistical, Continuum
4 Quantum Physics and Examples of Use of Computation
5 Particle Dynamics and Examples of Use of Computation
6 Particle Dynamics and Example of Astrophysics
7 Statistical Physics and Comparison of Monte Carlo and Particle Dynamics
8 Continuum Physics as an approximation to Particle Dynamics
9 Computational Fluid Dynamics (CFD) as an an Example of Continuum Physics
10 First Four Variables of CFD: Derivation of the Continuity Equation
11 Travelling Time Derivatives (D/ Dt) versus local time derivatives in continuity equation
12 Newton's Laws or the Momentum Equation in CFD
13 The Last (Energy) Equation of CFD: Features of the Full Navier Stokes Equation
14 Discretization of CFD in 2 or 3 Dimensions -- Regular Example
15 This is a typical non-uniform grid used to define an aircraft
16 NASA's Estimate of Computing Needs for Reynolds Averaged Approximation (1994)
17 Features of
Navier Stokes Equations and role of (small) viscosity
18 Simple Model CFD-like Equation in Dimensionless Form
19 The Reynolds Number R and Discussion of Interesting R and Viscosity Regimes
20 Approximation levels for CFD
21 What is so Strange about Large Reynolds Number? The second derivative Anomaly
22 Laminar Flow Compared to Turbulent Flow Pictorially
23 Why are boundaries important in the discontinuous limit of zero viscosity ?
24 Large R Region - Boundary Layer Analysis To Extrapolate from Euler Equation Regime to the Boundary

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