Title: A moving mesh method with defining deformable layers

Authors: Mohammad Mehdi Razzaghi; Seyed Mahdi Mirsajedi

Addresses: Department of Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, Iran ' Faculty of New Technologies Engineering, Shahid Beheshti University, Tehran, Iran

Abstract: The numerical simulation of the flow around the moving body requires a flexible computational grid; a grid which can adapt itself to the displacements of moving body. In the present study, it is shown that with the concentration of the deformations caused by the body motion in a limited number of elements (deformable layer) and the regular manipulation in the connections of these elements, any type of body motion can be modelled. In this method, the quality of the grid is maintained and there is no need to delete/insert any node in the domain. The ability to model the large motions of the body without the need for re-meshing or interpolation are among the other advantages of this method. To demonstrate the correct performance of the presented method, the unsteady form of the Euler equations is solved and the properties over each cell edges are evaluated using an averaging method. For time integration of equations used an implicit dual time method. Several test cases are solved and the results are compared with experimental and other numerical data.

Keywords: moving bodies; deformable layers; grid connections; implicit dual time; moving mesh; numerical simulation; flow simulation; deformation; modelling; unsteady Euler equations.

DOI: 10.1504/PCFD.2017.082527

Progress in Computational Fluid Dynamics, An International Journal, 2017 Vol.17 No.2, pp.63 - 74

Received: 27 Dec 2014
Accepted: 13 Oct 2015
Published online: 28 Feb 2017 *

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