Adaptive Simulations

 
 

This is a simulation of a 1D Gaussian initial wave along a sloping beach (shallow on the left and deep on the right). You can see that the wave on the right moves faster (deeper water) than on the left, while the slower left moving wave (shallower) is stronger (shoaling).

Non-Conforming Adaptive Grid with a Quadrilateral-based DG Method for the Shallow Water Equations: 1D Wave

Non-Conforming Adaptive Grid with a Quadrilateral-based DG Method for the Shallow Water Equations: 2D Wave with Flat bottom

This is a simulation of a 2D Gaussian initial wave on top of a deep (flat) ocean basin. The wave moves out radially (symmetrically) until it encounters the lateral hard walls.

Non-Conforming Adaptive Grid with a Quadrilateral-based DG Method for the Shallow Water Equations: 2D Wave with a 2D Conical Bathymetry

This is a simulation of a 2D Gaussian initial wave that hits a 2D conical submarine mountain on the right. The wave moves out radially (symmetrically) until it encounters the submarine mountain.