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Lecture Notes

Special software is required to use some of the files in this section: .avi.

This page presents lecture notes for selected lecture sessions.


LEC # TOPICS INSTRUCTORS
Introduction
1 Overview - Aspirations of Modeling and Simulation, Logistics (PDF) Yip
2 Diffusion at the Particle Level (PDF) Yip
3 From Random Walks to Continuum Diffusion (PDF) Bazant
Part 1: Continuum Methods (CM) (PDF)
4 Conservation Laws Rosales
5 Constitutive Relations Rosales
6 Discrete/Continuum Issues Rosales
7 Finite Difference Methods Powell
8 Weighted Residual Finite Element Methods Powell
9 Heat Conduction Powell
10 Materials Processing Applications Powell
11 Variational Finite Element Methods Ulm
12 Elasticity Concepts and Problems Ulm
13 Applications in Structural Mechanics Ulm
14 Equations of Fluids Dynamics Beers
15 Problems in Incompressible Flow Beers
16 Fluid-Structure Interactions Radovitzky
17 Multiscale Problems involving Continuum Mechanics Radovitzky
18 CM Review
19 Quiz 1
Part 2: Particle Methods (PM)
20 Monte Carlo Methods I: Percolation (PDF) Bazant
21 Monte Carlo Methods II: Fractal Patterns (PDF) Bazant
22 Monte Carlo Methods III: Random Packings Bazant
23 Basic Monte Carlo (PDF) Mirny
24 Monte Carlo Modeling of Physical Systems (PDF) Mirny
25 Optimization by MC and Genetic Programming (PDF) Mirny
26 Stochastic Simulations in Biology Mirny
27 Basic Classical Molecular Dynamics (PDF - 1.6 MB) Buehler
28 Introduction to Interatomic Potentials (PDF - 1.7 MB) Buehler
29 Modeling of Metals (PDF - 2.6 MB) Buehler
30 Reactive Potentials (PDF - 2.9 MB)

Dislocations in Nickel (AVI - 18.7 MB)
Buehler
31 MD Simulation of Fluids (PDF) Hadjiconstantinou
32 Dilute Gases and Direct Simulation Monte Carlo (DSMC) I (PDF) Hadjiconstantinou
33 Dilute Gases and DSMC II Hadjiconstantinou
34 PM Review
35 Quiz 2
Part 3: Quantum Methods (QM)
36 Quantum Calculations in Modeling and Simulation Yip
37 Introduction - Hartree-Fock and Density Function Theory Methods Yip
Final Project Presentations