lec1 - Introduction to Simulation - Lecture 1 Example...

Info iconThis preview shows pages 1–14. Sign up to view the full content.

View Full Document Right Arrow Icon
Introduction to Simulation - Lecture 1 Thanks to Deepak Ramaswamy, Michal Rewienski, Luca Daniel, Shihhsien Kuo and Karen Veroy Example Problems and Basic Equations Jacob White
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Outline • Uses For Simulation – Engineering Design – Virtual Environments – Model Verification • Course Philosophy • Example Problems – Power distribution on an Integrated Circuit – Load bearing on a space frame – Temperature distribution in a package
Background image of page 2
Circuit Analysis Equations – Current-voltage relations for circuit elements (resistors, capacitors, transistors, inductors), current balance equations Recent Developments – Matrix-Implicit Krylov Subspace methods
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Electromagnetic Analysis of Packages Equations – Maxwell’s Partial Differential Equations Recent Developments – Fast Solvers for Integral Formulations
Background image of page 4
Structural Analysis of Automobiles • Equations – Force-displacement relationships for mechanical elements (plates, beams, shells) and sum of forces = 0. – Partial Differential Equations of Continuum Mechanics • Recent Developments – Meshless Methods, Iterative methods, Automatic Error Control
Background image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Drag Force Analysis of Aircraft Equations – Navier-Stokes Partial Differential Equations. Recent Developments – Multigrid Methods for Unstructured Grids
Background image of page 6
Engine Thermal Analysis Equations – The Poisson Partial Differential Equation. Recent Developments – Fast Integral Equation Solvers, Monte-Carlo Methods
Background image of page 7

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Micromachine Device Performance Analysis Equations – Elastomechanics, Electrostatics, Stokes Flow. Recent Developments – Fast Integral Equation Solvers, Matrix-Implicit Multi-level Newton Methods for coupled domain problems.
Background image of page 8
Stock Option Pricing for Hedge Funds Equations – Black-Scholes Partial Differential Equation Recent Developments – Financial Service Companies are hiring engineers, mathematicians and physicists. t Stock Price Option Price
Background image of page 9

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Virtual Environments for Computer Games Equations – Multibody Dynamics, elastic collision equations. Recent Developments – Multirate integration methods, parallel simulation
Background image of page 10
Virtual Surgery Equations – Partial Differential Equations of Elastomechanics Recent Developments – Parallel Computing, Fast methods
Background image of page 11

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon