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AdamMarekWermus02

CONTACT INFORMATION:

Adam Wermus | wermusam@dukes.jmu.edu | 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
Stereo_4

Adam_Wermus_Resume