I develop first-principles models and (data-driven) methods for complex multi-phyiscs problems. My work is interdisciplinary, with a specialization on mixture systems, phase-transition, and interface dynamics.
Modeling of complex fluids
I focus on the rigorous modeling (and analysis) of complex multiphase flows. This involves arbitrary mixtures of both incompressible and compressible flows, interface problems, shock waves, thermal effects, phase transition, chemical reactions, and fluid-structure interaction.
High fidelity computation
To ensure predictive capability, I develop high fidelity computational methods. In particular, I use finite element/isogeometric methods and structure-preserving technologies to ensure robust and efficient computational methods for multiphysics problems.
