Meiburg's research interests lie in the general area of fluid dynamics and transport phenomena. His group primarily employs the tools of computational fluid dynamics (CFD), in particular highly resolved direct numerical simulations, in order to obtain insight into the physical mechanisms that govern the spatio-temporal evolution of a wide variety of geophysical, porous media and multiphase flow fields. Occasionally, his group extends their analyses to address issues of linear stability as well. Frequently, they collaborate closely with corresponding experimental investigations. Some current interests focus on gravity and turbidity currents, Hele-Shaw displacements, double-diffusive phenomena in particle laden flows, and internal bores.