Graduate Seminar - 10/02, 12:00PM Duncan Hall 1064

Arturo Vargas

"My Experience at the Mathematical Modeling in Industry Workshop: Numerical Simulations of Air Flow and Heat Transfer via PDEs"

I will be discussing my experience at the Mathematical Modeling in Industry Workshop.

Partial differential equations (PDEs) describe a wide range of phenomena, for example fluid flow, heat transfer, and sound propagation, among others. As such, models comprised of sets of PDEs, coupled with suitable boundary and initial conditions, are frequently used to perform computer simulations in an effort to understand the behavior of solutions, as well as being essential components in various types of problems, like those dealing with control and optimal design. Thus, the numerical solution of such models, which is key in performing the computer simulations, is of fundamental importance.

During the program, my team and I used a simple PDE model for simulating air flow and heat transfer. I will go through the process of solving this model numerically, using open source software to aid with the tasks of mesh generation, solution of the equations, and post-processing of the numerical results.