Physics Simulation in Visual Computing
Semester: 
SS 2023 
Type: 
Lecture 
Lecturer: 

Credits: 
6 ECTS credits 
Contact: 
bender@cs.rwthaachen.de 
Type 
Date 
Room 

Lecture  Mon, 10:30 – 12:00, starting April 17  Room 5056 (2356056) 
Lecture/Exercise  Thu, 10:30  12:00, starting April 06  AH VI (2356051) 
Physics simulation is an important research topic in visual computing. It has many applications ranging from such as virtual prototyping, training simulators, robotics, animation software for digital production including visual effects in film and animation movies, and computer games – just to mention a few.
This lecture gives an introduction to stateoftheart simulation methods for deformable solids and fluids in the area of visual computing with a special focus on continuum mechanical approaches. Different popular discretization techniques will be discussed, namely the Finite Element Method (FEM) and the Smoothed Particle Hydrodynamics (SPH) formulation. All required mathematical foundations will be introduced in the lecture.
In particular, we will consider the following topics:
 introduction in physics simulation
 mathematical foundations
 introduction of tensors
 numerical differentiation
 numerical integration
 simulation of deformable solids
 basics
 continuous model for deformable solids
 equation of motion
 finite element method (FEM)
 fluid simulation
 basics
 incompressible fluids
 NavierStokes equations
 Smoothed Particle Hydrodynamics (SPH)
 pressure solvers
 boundary handling
 viscosity
 surface tension
 vorticity