City Research Online

Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method

Toja-Silva, F., Favier, J. & Pinelli, A. (2014). Radial basis function (RBF)-based interpolation and spreading for the immersed boundary method. Computers & Fluids, 105, pp. 66-75. doi: 10.1016/j.compfluid.2014.09.026


Immersed boundary methods are efficient tools of growing interest as they allow to use generic CFD codes to deal with complex, moving and deformable geometries, for a reasonable computational cost compared to classical body-conformal or unstructured mesh approaches. In this work, we propose a new immersed boundary method based on a radial basis functions framework for the spreading–interpolation procedure. The radial basis function approach allows for dealing with a cloud of scattered nodes around the immersed boundary, thus enabling the application of the devised algorithm to any underlying mesh system. The proposed method can also keep into account both Dirichlet and Neumann type conditions. To demonstrate the capabilities of our novel approach, the imposition of Dirichlet boundary conditions on a 2D cylinder geometry in a Navier–Stokes CFD solver, and the imposition of Neumann boundary conditions on an adiabatic wall in an unsteady heat conduction problem are considered. One of the most significant advantage of the proposed method lies in its simplicity given by the algorithmic possibility of carrying out the interpolation and spreading steps all together, in a single step.

Publication Type: Article
Additional Information: © 2014, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International
Publisher Keywords: Immersed-boundary method; Interpolation–spreading; Radial basis functions
Subjects: Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Q Science > QC Physics
Departments: School of Science & Technology > Engineering
SWORD Depositor:
[thumbnail of radialbasisfunction.pdf]
Text - Accepted Version
Download (862kB) | Preview
[thumbnail of Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence]
Text (Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International Licence) - Other
Download (201kB) | Preview


Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email


Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login