Our group works in diverse areas in fluid mechanics, biophysics and materials through modeling and simulation. We are particularly interested in fluid-structure interactions in both passive and active systems in the general category of soft matter. Examples include cytoskeletal network, bacterial suspensions, microgel particles, biological cells and vesicles, etc. In these systems, motion of small particles (microtubule, bacterium, etc.) changes the flow field which reciprocally affects the particle mobility. Moreover, in active systems where particles are self-propelling, the particle-particle interactions at microscale can manifest themselves at macroscale to generate collective motion, which may greatly change the material properties.
Due to the multiscale nature of these novel systems, we integrate and develop unique numerical and theoretical tools to resolve physics from discrete particles to continuous medium. We work on Cartesian grid methods (Immersed boundary, Lattice Boltzmann, etc.), sharp interface methods (e.g., finite element), boundary integral method and slender-body theory, as well as fast summation methods that facilitate large-scale computation.