Development of a vortex method with penalization for modeling the complex fluid and moving/deforming solid interaction
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 14 September 2018
Issue publication date: 19 October 2018
Abstract
Purpose
The present study aims to develop a vortex method capable for solving the complex vortical flows past the moving/deforming bodies.
Design/methodology/approach
To achieve such a goal, some innovative work is conducted on the basis of vortex-in-cell (VIC) method that uses the improved semi-Lagrangian scheme. The penalization technique is incorporated with the VIC, which makes the complex boundaries of moving/deforming bodies readily treated. Iterative algorithm is further proposed for the penalization and used to solve the Poisson equation, which enhances the vorticity solution accuracy at the body boundary.
Findings
The developed method is used to simulate some distinct flows of different boundaries and features: the impulsively started circular cylinder flow represents the one-way coupling; the falling circular cylinder flow and ellipse leaf flow both represent the two-way coupling of moving boundary; the fish-like body flow represents the two-way fluid-structure interaction of deforming boundary. The vortical physics of the above flows are well revealed, and the developed method is proven capable in dealing with the complex fluid-structure interaction problems.
Originality/value
The penalization technique is incorporated with the semi-Lagrangian VIC method, which makes the complex boundaries of moving/deforming bodies readily treated. An iterative algorithm is further proposed for the penalization and used to solve the Poisson equation, which enhances the vorticity solution accuracy at the body boundary. The complex vortical physics of the moving/deforming body flows are well revealed, and the propulsive mechanism of fish-like swimmer is well illustrated with the present method.
Keywords
Citation
Wang, C., Sun, J. and Cheng, Z. (2018), "Development of a vortex method with penalization for modeling the complex fluid and moving/deforming solid interaction", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 28 No. 8, pp. 1809-1826. https://doi.org/10.1108/HFF-11-2017-0443
Publisher
:Emerald Publishing Limited
Copyright © 2018, Emerald Publishing Limited