A collection of simulations I've created for various projects.
Serre-Green-Naghdi Equations
The following are simulations conducted using the Serre-Green-Naghdi equations. They include both partial
and full-topography models. (Upcoming paper on this work; see also my upcoming PhD thesis). All these
simulations were created using the ryujin finite
element code.
Periodic Waves over Elliptic Shoal
Periodic Waves over Semi-circular Shoal
Soliton over 2D-Shelf (Full Topography Model)
Soliton over 2D-Shelf (Partial Topography Model)
Run-Up
Soliton over Gaussian Island (2D)
Soliton over Gaussian Island (1D)
Soliton Interacting with Sea Wall
Soliton Shoaling over a Shelf
Generalized KdV Equations
The following are various simulations of generalized KdV equations, typically the classic KdV equations.
They were created using either a low-order stand alone code (see below) or the ryujin finite
element code.
Zabusky-Kruskal Experiment
Comparison of two solitons interacting based on initial amplitude
Three solitons interacting
Two solitons merging
Zakharov–Kuznetsov Simulation
Independent Software & Codes
A curated list of software and codes that I have written independently (i.e., not as part of
a collaborative codebase). These are intended for researchers or developers interested
in numerical methods and finite element implementations.