Institucio Catalana de Recerca i Estudis Avancats (ICREA)
A meshless finite point method for three-dimensional analysis of compressible flow problems involving moving boundaries and adaptivity
Article first published online: 24 APR 2013
Copyright © 2013 John Wiley & Sons, Ltd.
International Journal for Numerical Methods in Fluids
Volume 73, Issue 4, pages 323–343, 10 October 2013
How to Cite
Ortega, E., Oñate, E., Idelsohn, S. and Flores, R. (2013), A meshless finite point method for three-dimensional analysis of compressible flow problems involving moving boundaries and adaptivity. Int. J. Numer. Meth. Fluids, 73: 323–343. doi: 10.1002/fld.3799
- Issue published online: 4 SEP 2013
- Article first published online: 24 APR 2013
- Manuscript Accepted: 3 MAR 2013
- Manuscript Received: 8 OCT 2012
- compressible flow;
- arbitrary Lagrangian–Eulerian (ALE);
- fluid–structure interaction
A finite point method for solving compressible flow problems involving moving boundaries and adaptivity is presented. The numerical methodology is based on an upwind-biased discretization of the Euler equations, written in arbitrary Lagrangian–Eulerian form and integrated in time by means of a dual-time steeping technique. In order to exploit the meshless potential of the method, a domain deformation approach based on the spring network analogy is implemented, and h-adaptivity is also employed in the computations. Typical movable boundary problems in transonic flow regime are solved to assess the performance of the proposed technique. In addition, an application to a fluid–structure interaction problem involving static aeroelasticity illustrates the capability of the method to deal with practical engineering analyses. The computational cost and multi-core performance of the proposed technique is also discussed through the examples provided. Copyright © 2013 John Wiley & Sons, Ltd.