bekaiser

Laplacian

fortran90 scripts for MPI-parallel computation of the 2d Laplacian operator using finite differences.

Fornberg

A generalized finite difference / interpolation algorithm using Lagrange polynomials from B. Fornberg (1998).

Poisson

Poisson equation solutions in 1D and 2D using FFTW to compute discrete sine transforms and fast Fourier transforms.

QGPV

Solvers for nonlinear barotropic quasi-geostrophic ocean circulation in a basin including options for a single gyre, symmetric double gyres, or asymmetric double gyres.

Duffing

Numerical integration for Poincare sections of chaotic Duffing oscillator dynamics.

Floquet

Code for computing the Floquet modes of a oscillating stratified boundary layer.

MDN

Mixture Density Networks in Tensorflow

OrrSommerfeld

Matlab code for computing the neutral stability curves of the Orr-Sommerfeld equation.

SDE

Numerical integration (4th order Runge-Kutta) of a Stratonovich stochastic differential equation (SDE).

EOF

A data analysis homework on empirical orthogonal functions (EOFs) and objective mapping in matlab.

Galerkin

The Galerkin spectral method example from "Essential Computational Fluid Dynamics" (2010)

overunder

Examples of under- and over-determined least squares problems with derivations.

Pade

A 4th-order accurate compact finite difference scheme for first derivatives on a uniform grid.

TensorOcean

Ocean turbulence prediction using Tensorflow for training Mixture Density Networks with the UCSD microstructure database.

bekaiser.github.io

Bezier

A function for generating cubic Bezier curves.

ChebyshevGauss

The Chebyshev-Gauss quadrature method for numerical approximations of integrals.

circulation

Computes the circulation integral around circular contour that is advected and distorted as a laminar boundary layer flow transitions to turbulence in a direct numerical simulation with uniform grid spacing in x and y and Chebyshev nodes in z.

Couette

Comparison of numerical and analytical laminar Couette flow solutions in C.

Dedalus_project_scripts

This repository contains python 3 scripts that use the Dedalus project pseudo-spectral solver to solve various partial differential equations. To download the Dedalus PDE solver go to: www.dedalus-project.org

dl-Osborn

Using deep learning to parameterize mixing efficiency using KH and HW dataset

dominant_balance

Code for "Automated Identification of Dominant Physical Processes" (2022) in Engineering Application of Artificial Intelligence

heatflow

A 1D transient solution for the heat equation (including latent heat flux, diffusion, advection) in Julia and purely diffusive solutions in Matlab and C.

Lagrange

Finite differences / interpolation using Lagrange polynomials

microstructure

Code for processing the UCSD microstructure database.

Morlet

A continuous Morlet wavelet example in matlab

Standard-Mixing-Routines

Repository for standard software used by Oceanography community

tumor_dynamics

Numerical solvers for differential models of tumor angiogenesis and invasion