Skip navigation

The virtual source approach to non-linear potential flow simulations

The virtual source approach to non-linear potential flow simulations

Langfeld, Kurt, Graham, David I., Greaves, Deborah M., Mehmood, Arshad and Reis, Tim ORCID: 0000-0003-2671-416X (2016) The virtual source approach to non-linear potential flow simulations. In: Proceedings of the International Offshore and Polar Engineering (ISOPE) Conference. ISOPE, pp. 242-249.

[img]
Preview
PDF (Publisher's PDF)
23340 REIS_The_Virtual_Source_Approach_to_Non-Linear_Potential_Flow_Simulations_2016.pdf - Published Version

Download (1MB) | Preview

Abstract

In this paper, we develop the Virtual Source Method for simulation of incompressible and irrotational fluid flows. The method is based upon the integral equations derived by using Green’s identity with Laplace’s equation for the velocity potential. The velocity potential within the fluid domain is completely determined by the potential on a virtual boundary located above the fluid. This avoids the need to evaluate singular integrals. Furthermore, the solution method developed here is meshless in space in that discretisation is in terms of the spectral components of the solution along this virtual boundary. These are determined by specifying non-linear boundary conditions on the velocity potential on the air/water surface using Bernoulli’s equation. A fourth-order Runge-Kutta procedure is used to update the spectral components in time. The method is used to model high-amplitude standing waves and sloshing. Results are compared with theory where applicable and some interesting physical phenomena are identified.

Item Type: Conference Proceedings
Title of Proceedings: Proceedings of the International Offshore and Polar Engineering (ISOPE) Conference
Additional Information: 26th Annual International Ocean and Polar Engineering Conference, ISOPE 2016; Rhodes; Greece; 26 June 2016 through 1 July 2016.
Uncontrolled Keywords: Nonlinear full potential flow, boundary integral equation, Green’s function, meshless methods.
Subjects: Q Science > QA Mathematics
Faculty / Department / Research Group: Faculty of Architecture, Computing & Humanities
Faculty of Architecture, Computing & Humanities > Department of Mathematical Sciences
Last Modified: 17 Apr 2019 22:48
Selected for GREAT 2016: None
Selected for GREAT 2017: None
Selected for GREAT 2018: None
Selected for GREAT 2019: None
URI: http://gala.gre.ac.uk/id/eprint/23340

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics