Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers

Pinelli, A., Naqavi, I. Z., Piomelli, U. & Favier, J. (2010). Immersed Boundary Method for Generalised Finite Volume and Finite Difference Navier-Stokes Solvers. Journal of Computational Physics, 229(24), pp. 9073-9091. doi: 10.1016/j.jcp.2010.08.021

[img]
Preview
Text - Accepted Version
Available under License : See the attached licence file.

Download (3MB) | Preview
[img]
Preview
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence) - Other
Download (201kB) | Preview

Abstract

We present an immersed-boundary algorithm for incompressible flows with complex boundaries, suitable for Cartesian or curvilinear grid system. The key stages of any immersed-boundary technique are the interpolation of a velocity field given on a mesh onto a general boundary (a line in 2D, a surface in 3D), and the spreading of a force field from the immersed boundary to the neighboring mesh points, to enforce the desired boundary conditions on the immersed-boundary points. We propose a technique that uses the Reproducing Kernel Particle Method [W.K. Liu, S. Jun, Y.F. Zhang, Reproducing kernel particle methods, Int. J. Numer. Methods Fluids 20(8) (1995) 1081–1106] for the interpolation and spreading. Unlike other methods presented in the literature, the one proposed here has the property that the integrals of the force field and of its moment on the grid are conserved, independent of the grid topology (uniform or non-uniform, Cartesian or curvilinear). The technique is easy to implement, and is able to maintain the order of the original underlying spatial discretization. Applications to two- and three-dimensional flows in Cartesian and non-Cartesian grid system, with uniform and non-uniform meshes are presented.

Item Type: Article
Additional Information: © 2010, Pinelli, A. et al. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International http://creativecommons.org/licenses/by-nc-nd/4.0/
Uncontrolled Keywords: Incompressible Navier–Stokes equations; Immersed-boundary method; Reproducing Kernel Particle Methods
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Divisions: School of Engineering & Mathematical Sciences > Engineering
URI: http://openaccess.city.ac.uk/id/eprint/6940

Actions (login required)

View Item View Item

Downloads

Downloads per month over past year

View more statistics