Skip to Main content Skip to Navigation

Vorticity preserving numerical schemes in compressible aerodynamics

Fabrice Falissard 
Abstract : The reduction of numerical diffusion of vortex structures is a key point in many computational fluid dynamics problems. According to the notion of vorticity preserving numerical schemes for the system wave equation, introduced by Morton and Roe, and on the residual-based schemes family, introduced by Lerat and Corre, this thesis presents a RBV scheme (Residual- Based Vorticity preserving). The RBV scheme is implicit and second order accurate. It preserves the vorticity for the system wave equation with and without advection and for the Euler equations. The RBV scheme has the capability of advecting vortex on large distances with very few numerical dissipation. It has been formulated on irregular grids in the finite volume approach and it retains naturally its accuracy and vorticity preserving properties without correction terms. The RBV scheme has been used first for the calculation of steady and unsteady Euler flow around airfoils and then for the simulation of subsonic head-on blade vortex interaction (BVI) between a Scully vortex and a NACA0012 airfoil at zero angle of attack. Results are compared to experimental data. This case is representative of the parallel interaction between a helicopter rotor blade and the preceding blade tip vortex. The blade vortex interaction is the main noise source for helicopter in low speed descent flight. The results obtained with the RBV scheme on this two-dimensional BVI case show the capability of the method to simulate realistic aerodynamic flows. Comparisons made with solutions of classical second order accurate schemes demonstrate the benefit of the proposed RBV scheme.
Document type :
Complete list of metadata

Cited literature [92 references]  Display  Hide  Download
Contributor : Ecole Arts et Métiers ParisTech Connect in order to contact the contributor
Submitted on : Friday, January 5, 2007 - 8:00:00 AM
Last modification on : Friday, January 5, 2007 - 8:00:00 AM
Long-term archiving on: : Thursday, September 30, 2010 - 7:55:44 PM


  • HAL Id : pastel-00002056, version 1



Fabrice Falissard. Vorticity preserving numerical schemes in compressible aerodynamics. Engineering Sciences [physics]. Arts et Métiers ParisTech, 2006. English. ⟨NNT : 2006ENAM0005⟩. ⟨pastel-00002056⟩



Record views


Files downloads