Non-conforming Adaptive Grids for the Spherical Shallow Water Equations with Discontinuous Galerkin discretization
















This is a simulation shows a barotropic instability on the sphere. The grid adapts with the flow thereby requiring fewer grid points to resolve the flow than, say, a uniform static-grid simulation.

Non-conforming Adaptive Grids for the 2D Euler Equations with Discontinuous Galerkin discretization















This is a simulation of a rising thermal bubble (buoyant convection) using a quad-based discontinuous Galerkin method with adaptive mesh refinement.The adaptive simulation (left) is 5 times faster than the uniform simulation on the right.

Adaptive Simulations