Eventos Anais de eventos
COBEM 2021
26th International Congress of Mechanical Engineering
High order immersed interface method for compressible transonic flows
Submission Author:
Ligia Paola Velandia Luis , SP , Brazil
Co-Authors:
Ligia Paola Velandia Luis, Jhonathan Solarte Pineda , Paulo Greco
Presenter: Ligia Paola Velandia Luis
doi://10.26678/ABCM.COBEM2021.COB2021-0054
Abstract
The field of computational fluid dynamics (CFD), has been playing an important role in science and engineering in the last few decades. Several industries as; aerospace and defense, automotive, industrial equipment, life sciences, energy, construction, etc. Use CFD as an important tool for the design and development of new parts or components. Along with wind tunnel testing, the numerical and experimental approaches are working together in benefit of science and technology.Fluid structure-iteration methods, as the immersed boundary method has been applied and tested successfully in the last few decades. In this article, high order immersed interface boundary method is presented for the analysis of flat plate in one dimension for compressible transonic flows below Mach one. Fourth order of precision, in both time and space is achieved using the classic Runge Kutta method and a compact finite difference method respectively. Close to the interface, where the flow properties are discontinuous, the central finite difference scheme is changed in favor of preserving the order of precision of the compact scheme, using a term with jump corrections. For the purpose of stabilizing the solution, a higher implicit filter of sixth order was applied. The verification process, was carried out using the advection diffusion equation in one dimension, showing that the order of accuracy is maintained as fourth. Also, the compressible flow over a flat plate is used in order to validate the numerical solution. The results, are presented mainly for compressible subsonic flow in the range of free stream Mach number of (0.3 < M∞ < 0.8). Nonetheless, results for incompressible flow and supersonic flow are also presented. Finally, for both inviscid and viscous flows, the immersed interface method present good results when compared with experimental data or other numerical approaches.
Keywords
