Adam Wermus | email@example.com | 757-333-2488
Hello and welcome to the Physical Simulation Page! The videos compare different solvers to see how to best solve the equations of motion in a simulation. Different numerical methods are compared based on their performance with analyzing energy conservation after collisions, flexibility, step size, and time to compute.
The following numerical methods are analyzed: Explicit Euler, Semi-Implicit Euler, Implicit Euler, Velocity Verlet, Runge-Kutta 2nd Order Midpoint Method, Runge-Kutta 4th Order, Generalized-Alpha, BDF2, and Parker-Sochacki at different orders.
ENERGY CONSERVATION AFTER COLLISIONS
|Newton’s Cradle Multiple Simultaneous Collisions|
|Energy Conservation after Collisions With Boundaries||Energy Conservation after Collisions With Bobs||Energy Conservation after Multiple Collisions in a Step|
COMPARING EXPLICIT EULER, SEMI-IMPLICIT EULER, VELOCITY VERLET, RUNGE-KUTTA 2ND ORDER MIDPOINT, RUNGE-KUTTA 4TH ORDER, AND PARKER-SOCHACKI AT VARIOUS ORDERS
|Flexibility of Springs||Conservation of Energy on a Pendulum||3-Body Largest Possible Time Step|
To see a mathematical step by step or code, the sections above go into more detail. I also have section for Stereoscopy where I created 3D images of a cornet, Motion Capture where I replicated a form from the James Madison University Tae Kwon Do Club, and a Trumpet Research section where I created a 3D mouthpiece, submerged a trumpet in liquid nitrogen, and experimented with putting helium and Sulfur Hexafluoride through the trumpet. My resume is at the bottom.
|Stereoscopy||Motion Capture||Trumpet Tube|