Prof. Mueller’s research focuses on high-fidelity computational modeling of turbulent reacting flows. Capabilites range from full-fidelity Direct Numerical Simulation (DNS) of canonical problems to understand the fundamental interactions between turbulence and chemistry to high-fidelity Large Eddy Simulation (LES) applied to practical engineering systems such as gas turbine combustors and reciprocating engines. One of the principal objectives of his research is the development of models for engineering calculations from the fundamental understanding gleaned from the first-principles calculations. Current topics of interest include pollutant emissions (soot, NOx), liquid sprays, thermal radiation, and thermo-acoustic instabilites.
As a tool to study and model physical and chemical phenomena, his research also includes areas of computational science and applied mathematics. Current interests in this area include the development of numerical methods appropriate for turbulent reacting flows on both structured and unstructed computational grids, the associated parallel algorithms for high-performance computing, and the development of algorithms for Uncertainty Quantification (UQ) in turbulent reacting flows.