CutFEM Methods for FSI
We are developing a new class of cut-cell fintie element methods by extending the CutFEM method of Burman, Massing, and others to use the equilant polynomial...
Projects
Ongoing research and development projects
Immersed interface FEM for air/water flow
We are developing a new computational method for immiscible air/water flows by extending the Immersed Interface Method of Leveque and Li to unstructured fini...
Modeling the Mechanics of the fluid-bed-vegetation interactions in coastal and riverine ecosystems.
River meandering and more generally the dynamics of coastal and riverine morphology has focused heavily and interactions between currents, waves, and sedimen...
Bound-Preserving Higher Order Methods for Infiltration
We are developing a new class of fintie element methods for infiltration that extend recent advancements in bound-preserving and higher-order methods for hyp...
Simulating wave interaction with structures
We are developing fast and accurate methods to simulate wave effects on coastal structures.