A low-dissipation finite element scheme for scale resolving simulations of turbulent flows

Lehmkuhl, O.; Houzeaux, Guillaume; Owen, Herbert; Chrysokentis, Giorgios; Rodríguez, I.

doi:10.1016/j.jcp.2019.04.004

Cited by 74 publications

(62 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The perturbation to the incompressibility constraint introduces an error in the conservation of kinetic energy of ( t h 2 ) in the case of linear FEs. 23 This coincides with the error obtained for finite volumes using a collocated scheme in the works of Jofre et al 24 and Felten and Lund. 25 A detailed description of the numerical method used in this work together with examples for wall-resolved LES flows that show its high accuracy and low dissipation can be found in the work of Lehmkuhl et al 23 The Vreman subgrid-scale model 26 is used for turbulence closure for all the examples presented in this work.…”

Section: Incompressible Navier-stokes Problemsupporting

confidence: 88%

“…Therefore, mass conservation is not satisfied exactly. The perturbation to the incompressibility constraint introduces an error in the conservation of kinetic energy of

scriptO false(δ t h^{2} false)

in the case of linear FEs . This coincides with the error obtained for finite volumes using a collocated scheme in the works of Jofre et al and Felten and Lund .…”

Section: Numerical Treatmentsupporting

confidence: 78%

See 1 more Smart Citation

Wall‐modeled large‐eddy simulation in a finite element framework

Owen

Chrysokentis

Ávila

et al. 2019

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

Summary This work studies the implementation of wall modeling for large‐eddy simulation in a finite element context. It provides a detailed description of how the approach used by the finite volume and finite differences communities is adapted to the finite element context. The new implementation is as simple and easy to implement as the classical finite element one, but it provides vastly superior results. In the typical approach used in finite elements, the mesh does not extend all the way to the wall, and the wall stress is evaluated at the first grid point, based on the velocity at the same point. Instead, we adopt the approach commonly used in finite differences, where the mesh covers the whole domain and the wall stress is obtained at the wall grid point, with the velocity evaluated at the first grid point off the wall. The method is tested in a turbulent channel flow at Reτ=2003, a neutral atmospheric boundary layer flow, and a flow over a wall‐mounted hump, with significant improvement in the results compared to the standard finite element approach. Additionally, we examine the effect of evaluating the input velocity further away from the wall, as well as applying temporal filtering on the wall‐model input.

show abstract

Section: Incompressible Navier-stokes Problemsupporting

confidence: 88%

“…Therefore, mass conservation is not satisfied exactly. The perturbation to the incompressibility constraint introduces an error in the conservation of kinetic energy of

scriptO false(δ t h^{2} false)

in the case of linear FEs . This coincides with the error obtained for finite volumes using a collocated scheme in the works of Jofre et al and Felten and Lund .…”

Section: Numerical Treatmentsupporting

confidence: 78%

Wall‐modeled large‐eddy simulation in a finite element framework

Owen

Chrysokentis

Ávila

et al. 2019

Numerical Methods in Fluids

Self Cite

View full text Add to dashboard Cite

show abstract

“…33 This approach has been shown to be significantly less dissipative compared to traditional stabilized FEM approach. 34 Temporal discretization is performed through a conservative explicit third-order Runge-Kutta scheme. 35 Due to the low Reynolds number, no turbulence model has been used, so all the simulations will be considered as DNS.…”

Section: Methodsmentioning

confidence: 99%

Noise radiated by an open cavity at low Mach number: Effect of the cavity oscillation mode

Martı́n

Sòria

Lehmkuhl

et al. 2019

International Journal of Aeroacoustics

View full text Add to dashboard Cite

The present work focuses on the study of noise generation and radiation of an infinite open three-dimensional cavity at low Mach number with laminar upstream conditions, that is of interest to understand noise generation mechanisms in wall-bounded separated flows. A particular feature of this configuration is the oscillatory mode: shear layer mode or wake mode. For the parameters considered in the present study it is seen that while in shear layer mode the flow shows a two-dimensional behaviour, in the wake mode the flow is three-dimensional, resulting in significantly different sound sources. The influence of the acoustic feedback mechanism in SL mode has also been investigated comparing the results between different momentum thickness values at the cavity inlet. This paper presents results of sound radiated by a three-dimensional infinite open cavity with aspect ratio L/D = 4 at Reynolds number based on the cavity depth of Re D = 1500 and Mach number of M = 0.15, both for shear layer (L/θ = 67) and wake (L/θ = 84) oscillation modes. To do so, Curle integral evaluated as a post-process of an incompressible solution will be used. The results are compared with the resulting Curle post-process of a two-dimensional incompressible simulation.

show abstract

“…The set of equations is integrated in time using a third-order Runge-Kutta explicit method combined with an eigenvalue-based time-step estimator [34]. This approach has been shown to be significantly less dissipative than traditional stabilized FEM approach [16]. Scalar equations are solved by a third-order Runge-Kutta explicit method combined with an ASGS method [2].…”

Section: Numerical Discretizationmentioning

confidence: 99%

Numerical Characterization of a Premixed Hydrogen Flame Under Conditions Close to Flashback

Mira

Lehmkuhl

Both

et al. 2020

Flow Turbulence Combust

Self Cite

View full text Add to dashboard Cite

This work presents a numerical study of a technically premixed swirling combustor with central air injection at conditions close to flashback using large-eddy simulation with flamelet modelling. The study shows the assumption of perfect premixing is valid during the stable operation of the burner up to flashback conditions. The experimental results are well predicted under inert and reacting conditions by using a perfectly premixed mixture. It is found that the non reacting flow field develops a self-excited oscillation in the form of a precessing vortex core. This oscillation is attenuated by the fuel injection due to the respective increase in axial momentum and it is ultimately suppressed in the reacting flow field. Both experiments and simulations confirm the same trends. The analysis of the flames have shown certain dynamics as the flashback point is approached. The flashback resistance of the burner is minimized due to an increase in the velocity deficit of the incoming mixture. The recirculation region is shifted upstream, the central recirculation is altered and the flame position is displaced towards the reactants. OH-PLIF measurements are compared with the OH predictions by the LES and certain level of disagreement is observed. This modelling approach is found to be valid to predict the hydrodynamic behaviour of the flames in terms of velocity fields and flow oscillations, but it can not predict the OH formation found in the post combustion zone across the reacting layer. Keywords premixed burner • swirl-stabilized flames • flashback safety • precessing vortex core • flamelet Address(es) of author(s) should be given This is a post-peer-review, pre-copyedit version of an article published in Flow, turbulence and combustion.

show abstract

A low-dissipation finite element scheme for scale resolving simulations of turbulent flows

Cited by 74 publications

References 33 publications

Wall‐modeled large‐eddy simulation in a finite element framework

Wall‐modeled large‐eddy simulation in a finite element framework

Noise radiated by an open cavity at low Mach number: Effect of the cavity oscillation mode

Numerical Characterization of a Premixed Hydrogen Flame Under Conditions Close to Flashback

Contact Info

Product

Resources

About