## UC Berkeley / Lawrence Berkeley Laboratory

#### A High-Order Implicit–Explicit Discontinuous Galerkin Scheme for Fluid–Structure Interaction

**Brad Froehle, UC Berkeley**

##### April 3rd, 2013 at 4PM–5PM in 939 Evans Hall [Map]

We present a high-order discontinuous Galerkin Arbitrary Lagrangian Eulerian
formulation for the Navier–Stokes equations coupled to various structure
models including pitching airfoils, non-linear membranes, and neo-Hookean
solids. We use standard continuous Galerkin discretizations of the solids,
which are coupled to the fluid using standard techniques. Using
implicit–explicit Runge–Kutta time integrators with explicit predictors for
the coupling variables, we effectively decouple the system into two implicit
problems—one for the fluid and one for the structure. This allows the use of
efficient parallel domain specific solvers while maintaining a high formal
order of accuracy in time. The talk is based on joint work with Per-Olof
Persson (UC
Berkeley).