An implicit mixed finite-volume–finite-element method for solving 3D turbulent compressible flows

✍ Scribed by L. Hallo; C. Le Ribault; M. Buffat

• Publisher: John Wiley and Sons
• Year: 1997
• Tongue: English
• Weight: 571 KB
• Volume: 25
• Category: Article
• ISSN: 0271-2091
• DOI: 10.1002/(sici)1097-0363(19971215)25:11<1241::aid-fld595>3.0.co;2-1

✦ Synopsis

The development of new aeronautic projects require accurate and ef®cient simulations of compressible ¯ows in complex geometries. It is well known that most ¯ows of interest are at least locally turbulent and that the modelling of this turbulence is critical for the reliability of the computations. A turbulence closure model which is both cheap and reasonably accurate is an essential part of a compressible code. An implicit algorithm to solve the 2D and 3D compressible Navier±Stokes equations on unstructured triangularatetrahedral grids has been extended to turbulent ¯ows. This numerical scheme is based on second-order ®nite element±®nite volume discretization: the diffusive and source terms of the Navier±Stokes equations are computed using a ®nite element method, while the other terms are computed with a ®nite volume method. Finite volume cells are built around each node by means of the medians. The convective ¯uxes are evaluated with the approximate Riemann solver of Roe coupled with the van Albada limiter. The standard k±e model has been introduced to take into account turbulence. Implicit integration schemes with ef®cient numerical methods (CGS, GMRES and various preconditioning techniques) have also been implemented. Our interest is to present the whole method and to demonstrate its limitations on some well-known test cases in three-dimensional geometries.