High-Order Variational Multiscale Model in Finite Elements Applied to the LEISA-2 Configuration

Abstract

A variational multiscale sugbrid model including an explicit filtering is studied in the framework of an equal-order finite element formulation for solving compressible Navier-Stokes equations in entropy variables. The filtering is here achieved by considering embedded piecewise polynomials, whose implementation is made easier with the use of isoparametric and symmetric elements. A hybrid formulation combining a detached-eddy simulation near the walls is also proposed to be able to tackle realistic industrial configurations. The numerical developments are assessed with the Taylor-Green vortex, by comparison with a reference result provided by direct numerical simulation. Finally, new findings are reported with the direct noise computation of the LEISA-2 configuration, a three-element high-lift airfoil as part of the benchmark for airframe noise computation.

Wall-Resolved Large-Eddy Simulation of a Three-Element High-Lift Airfoil

“…In the framework of these projects, several unsteady simulations based mainly on hybrid RANS/LES techniques have been performed on this geometry (see for instance [3,17,[24][25][26]).…”

On the performance of a high-order multiscale DG approach to LES at increasing Reynolds number

“…In contrast to the methodology reported in [43], the scale decomposition is now carried out by extracting the low-order component of the solution, which is expressed in terms of polynomial interpolating functions. As mentioned by the authors in [79], this approach considerably reduces the computational overhead associated with the scale separation step in VMS. In the context of the SEM, Munts et al [57] have proposed a compressible formulation of the VMS method based on the use of high-order hierarchical modal basis functions.…”

“…The proposed VMS formalism was applied to the simulation of freely decaying isotropic turbulence in the limit of infinite Reynolds numbers. More recently, Yser et al [78] and Yser and Bailly [79] have also used the GLS-FEM and third-order elements to perform hybrid RANS-VMS simulations of a three-element high-lift airfoil using VMS. In contrast to the methodology reported in [43], the scale decomposition is now carried out by extracting the low-order component of the solution, which is expressed in terms of polynomial interpolating functions.…”