Research
My research focuses on the numerical approximation of hyperbolic systems with relaxation, which arise in non-equilibrium processes such as fluid flows and two-phase mixtures. I work on the development and analysis of asymptotic-preserving (AP) finite-volume schemes that remain stable and accurate in both equilibrium and non-equilibrium regimes. These methods are particularly suited to compressible two-phase flows, where relaxation terms model exchanges between coexisting phases (e.g., vapor and liquid).
Key contributions
- Unsplit AP schemes for hyperbolic systems with relaxation.
- Relative entropy analysis for asymptotic preserving schemes to the Jin & Xin model.
- Hierarchy of relaxation-based hyperbolic models for two-phase flows.
Research interests
- Hyperbolic conservation laws
- Relaxation models
- Numerical analysis; finite-volume schemes
- Asymptotic-preserving methods
- Compressible two-phase flows