An operator expansion method for computing nonlinear surface waves on a ferrofluid jet

Tools

Guyenne, Philippe and Parau, Emilian I. (2016) An operator expansion method for computing nonlinear surface waves on a ferrofluid jet. Journal of Computational Physics, 321. 414–434. ISSN 0021-9991

Preview

PDF (Guyenne & Parau) - Accepted Version
Available under License Creative Commons Attribution Non-commercial No Derivatives.
Download (1MB) | Preview

Abstract

We present a new numerical method to simulate the time evolution of axisym- metric nonlinear waves on the surface of a ferrofluid jet. It is based on the reduction of this problem to a lower-dimensional computation involving surface variables alone. To do so, we describe the associated Dirichlet–Neumann op- erator in terms of a Taylor series expansion where each term can be efficiently computed by a pseudo-spectral scheme using the fast Fourier transform. We show detailed numerical tests on the convergence of this operator and, to illus- trate the performance of our method, we simulate the long-time propagation and pairwise collisions of axisymmetric solitary waves. Both depression and elevation waves are examined by varying the magnetic field. Comparisons with weakly nonlinear predictions are also provided.

Item Type:	Article
Uncontrolled Keywords:	dirichlet–neumann operator,ferrofluid jet,pseudo-spectral method,series expansion,solitary waves
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Fluid and Solid Mechanics (former - to 2024) Faculty of Science > Research Groups > Fluids & Structures
Related URLs:	http://www.sciencedirect.com/science/art...
Depositing User:	Pure Connector
Date Deposited:	01 Jun 2016 12:00
Last Modified:	28 Mar 2025 07:32
URI:	https://ueaeprints.uea.ac.uk/id/eprint/59163
DOI:	10.1016/j.jcp.2016.05.055

Downloads

Downloads per month over past year

Actions (login required)

View Item