Now showing items 1-4 of 4

• #### Off the beaten path: dispersive wave-current interactions on shear flows, and path-following methods ﻿

(Doctoral theses at NTNU;2020:46, Doctoral thesis, 2020)
The focus of this work has been the influence of depth-dependent currents on the properties of dispersive water waves, in furtherance of recent work by Ellingsen, et al. This has primarily comprised the development of: ...
• #### Path-Following Method to Determine the Field of Values of a Matrix with High Accuracy ﻿

(Journal article; Peer reviewed, 2018)
We describe a novel and efficient algorithm for calculating the field of values boundary, $\partial\textrm{W}(\cdot)$, of an arbitrary complex square matrix: the boundary is described by a system of ordinary differential ...
• #### Path-Following Methods for Calculating Linear Surface Wave Dispersion Relations on Vertical Shear Flows ﻿

(Journal article; Peer reviewed, 2020)
The path-following scheme in Loisel and Maxwell (SIAM J Matrix Anal Appl 39(4):1726–1749, 2018) is adapted to efficiently calculate the dispersion relation curve for linear surface waves on an arbitrary vertical shear ...
• #### The Error in Predicted Phase Velocity of Surface Waves atop a Shear Current with Uncertainty ﻿

(Journal article; Peer reviewed, 2019)
The effect of a depth-dependent shear current U(z) on surface wave dispersion is conventionally calculated by assuming U(z) to be an exactly known function, from which the resulting phase velocity c(k) is determined. This, ...