The University of Southampton
University of Southampton Institutional Repository

Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems

Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems
Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems
A new robust and accurate Cartesian-grid treatment for the immersion of solid bodies within a fluid with general boundary conditions is described. The new approach, the Boundary Data Immersion Method (BDIM), is derived based on a general integration kernel formulation which allows the field equations of each domain and the interfacial conditions to be combined analytically. The resulting governing equation for the complete domain preserves the behavior of the original system in an efficient Cartesian-grid method, including stable and accurate pressure values on the solid boundary. The kernel formulation allows a detailed analysis of the method, and it is demonstrated that BDIM is consistent, obtains second-order convergence relative to the kernel width, and is robust with respect to the grid and boundary alignment. Formulation for no-slip and free slip boundary conditions are derived and numerical results are obtained for the flow past a cylinder and the impact of blunt bodies through a free surface. The BDIM predictions are compared to analytic, experimental and previous numerical results confirming the properties, efficiency and efficacy of this new boundary treatment for Cartesian grid methods.
0021-9991
6233-6247
Weymouth, Gabriel D.
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Yue, Dick K.-P.
efbe9a39-3cdc-4381-8a65-e72b4a590935
Weymouth, Gabriel D.
b0c85fda-dfed-44da-8cc4-9e0cc88e2ca0
Yue, Dick K.-P.
efbe9a39-3cdc-4381-8a65-e72b4a590935

Weymouth, Gabriel D. and Yue, Dick K.-P. (2011) Boundary data immersion method for Cartesian-grid simulations of fluid-body interaction problems. Journal of Computational Physics, 230 (16), 6233-6247. (doi:10.1016/j.jcp.2011.04.022).

Record type: Article

Abstract

A new robust and accurate Cartesian-grid treatment for the immersion of solid bodies within a fluid with general boundary conditions is described. The new approach, the Boundary Data Immersion Method (BDIM), is derived based on a general integration kernel formulation which allows the field equations of each domain and the interfacial conditions to be combined analytically. The resulting governing equation for the complete domain preserves the behavior of the original system in an efficient Cartesian-grid method, including stable and accurate pressure values on the solid boundary. The kernel formulation allows a detailed analysis of the method, and it is demonstrated that BDIM is consistent, obtains second-order convergence relative to the kernel width, and is robust with respect to the grid and boundary alignment. Formulation for no-slip and free slip boundary conditions are derived and numerical results are obtained for the flow past a cylinder and the impact of blunt bodies through a free surface. The BDIM predictions are compared to analytic, experimental and previous numerical results confirming the properties, efficiency and efficacy of this new boundary treatment for Cartesian grid methods.

Text
preprint - Author's Original
Download (1MB)
Text
Weymouth 2011 BDIM JCP.pdf - Other
Restricted to Repository staff only
Request a copy

More information

Accepted/In Press date: 14 April 2011
e-pub ahead of print date: 28 April 2011
Published date: July 2011
Organisations: Fluid Structure Interactions Group

Identifiers

Local EPrints ID: 349797
URI: http://eprints.soton.ac.uk/id/eprint/349797
ISSN: 0021-9991
PURE UUID: 25ac58a6-4129-48b5-a2e3-20624cede642
ORCID for Gabriel D. Weymouth: ORCID iD orcid.org/0000-0001-5080-5016

Catalogue record

Date deposited: 11 Mar 2013 13:01
Last modified: 28 Apr 2022 02:09

Export record

Altmetrics

Contributors

Author: Dick K.-P. Yue

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×