About Me

I am a fourth-year Ph.D. candidate in Mechanical Engineering at the University of Illinois at Chicago under the supervision of Dr. Farzad Mashayek. I currently work in the Computational Multiphase Transport Laboratory developing numerical algorithms for high-order h/p element method codes. Prior to my numerical research, I worked in the Spray and Atomization Laboratory performing experiments on electrostatic charge injection methods.

Computational Fluid Dynamics

A majority of my work has focused on developing models and algorithms for use in high order numerical codes for the solution of the Navier-Stokes equations. Current research is focused on the simulation of the AFRL Scramjet using large eddy simulation by means of a Discontinuous Spectral Element Method code in conjunction with the Filtered Mass Density Function methodology for high-speed combustion.

I have much experience developing in-house high-order codes as opposed to using commercially available software
Discontinuous Spectral Element Method
Spectral Element Method is a subset of high-order h/p element method which combines the geometric flexibility of finite elements with the accuracy of spectral methods. DSEM is for the solution of PDEs, in our case the Navier Stokes Equations, in weak form based on high-order Lagrange interpolants used in conjuction with a Gauss-Lobatto-Legendre quadrature.
Filtered Mass Density Function
Filtered Mass Density Function Method is a probability density function method that has been developed for large eddy simulation of variable-density chemically reacting flows. In FMDF, a set of stochastic differential equations is solved in a Lagrangian frame of reference to determine the transport of species in a chemically reacting flow. The greatest advantage to FMDF is that the reaction term appears in a closed form.
Monte Carlo Particle Methods
Monte Carlo Particles are employed in FMDF for the solution of the SDEs on particles. By the use of a particle-mesh method, we are able to construct 'ensemble averages' of particles over a subdomain and determine properties in an Eulerian frame of reference to be used in a gas-phase solver such as DSEM.

Get in touch with me

As a Ph.D. candidate, I'm always interested
in collaborations or work offerings!

Jonathan Komperda
Department of Mechanical Engineering
842 W. Taylor Street
Rm. 2022 ERF, MC 251
Chicago, IL 60608