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Advanced Computer Graphics (Spring 2013)
CS 283, Lecture 22:
Physical Simulation 2
Ravi Ramamoorthi
http://inst.eecs.berkeley.edu/~cs283/sp13
Most slides courtesy James O’Brien from CS294-13 Fall 2009
Outline
Rigid bodies: basic physics
Simple springs
Stress and Strain
Numerical Discretization Transition from continuous physics model to
something we can actually do on a computer Important topic in numerical analysis and graphics
Modal Analysis Simplified linear system (reduced dimensional)
Finite Element Method
Disjoint elements tile material domain
Derivatives from shape functions
Nodes shared by adjacent elements
Finite Element Method Disjoint elements tile material domain
Derivatives from shape functions
Nodes shared by adjacent elements
Corotational Method
Factor out rotation using polar decomposition Cauchy strain without errors due to rotations
Outline
Rigid bodies: basic physics
Simple springs
Stress and Strain
Numerical Discretization Transition from continuous physics model to
something we can actually do on a computer Important topic in numerical analysis and graphics
Modal Analysis Simplified linear system (reduced dimensional)