Many problems in complex fluids, soft matter, and biomechanics involve strongly coupled physical processes, evolving interfaces, deformable structures, and nonlinear material behavior that cannot be reliably addressed using conventional simulation methods. We develop accurate, stable, and efficient numerical methods that make such challenging problems computationally tractable. Our goal is to translate mathematical advances into robust and reusable simulation tools that support fundamental discovery, experimental interpretation, and the design and control of engineering systems.
Related projects: stabilized finite element methods for multiphase and non-Newtonian flows; fluid–structure interaction methods; scalable multiscale simulations; and physics-based reduced-order models.
