We present a model-reduced variational Eulerian integrator for incompressible fluids, which uses homogenized boundary conditions to handle irregular domain shapes on a regular grid. The resulting versatile, efficient, and energy-preserving method can be applied to buoyancy, magneto hydrodynamics, and turbulence modeling.

Beibei Liu, Michigan State University
Gemma Mason, California Institute of Technology
Julian Hodgson, University College London
Yiying Tong, Michigan State University
Mathieu Desbrun, California Institute of Technology