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

This work was supported by the Energy oriented Centre of Excellence II (EoCoE‐II), grant agreement number 824158, funded within the Horizon2020 framework of the European Union. We would also like to acknowledge PRACE for awarding us access to the following resources: GCS Supercomputer SuperMUC at Leibniz Supercomputing Centre (www.lrz.de), Marconi at CINECA (http://www.hpc.cineca.it/), and TGCC Curie at CEA‐GENCI (http://www‐hpc.cea.fr). The authors thankfully acknowledges the computer resources at MareNostrum and the technical support provided by Barcelona Supercomputing Center (RES‐AECT‐2018‐3‐0028).

[1]  Koen Hillewaert,et al.  Application of wall-models to discontinuous Galerkin LES , 2017 .

[2]  Maxim A. Olshanskii,et al.  On conservation laws of Navier-Stokes Galerkin discretizations , 2016, J. Comput. Phys..

[3]  T. Hughes,et al.  Large Eddy Simulation and the variational multiscale method , 2000 .

[4]  Gustavo C. Buscaglia,et al.  A Note on the Numerical Treatment of the k-epsilon Turbulence Model* , 2001 .

[5]  R. Codina Pressure Stability in Fractional Step Finite Element Methods for Incompressible Flows , 2001 .

[6]  Johannes Janicka,et al.  Efficient Generation of Initial- and Inflow-Conditions for Transient Turbulent Flows in Arbitrary Geometries , 2005 .

[7]  Mateo Valero,et al.  ALYA: MULTIPHYSICS ENGINEERING SIMULATION TOWARDS EXASCALE , 2014 .

[8]  H. Reichardt,et al.  Vollständige Darstellung der turbulenten Geschwindigkeitsverteilung in glatten Leitungen , 1951 .

[9]  D. Spalding A Single Formula for the “Law of the Wall” , 1961 .

[10]  Anthony E. Washburn,et al.  Experimental Investigation of Separation Control Part 1: Baseline and Steady Suction , 2006 .

[11]  Victor M. Calo,et al.  Weak Dirichlet Boundary Conditions for Wall-Bounded Turbulent Flows , 2007 .

[12]  Macarena Gómez Mármol,et al.  Numerical analysis of a finite element projection-based VMS turbulence model with wall laws , 2015 .

[13]  Johan Larsson,et al.  Large eddy simulation with modeled wall-stress: recent progress and future directions , 2016 .

[14]  T. Hughes,et al.  Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows , 2007 .

[15]  A. W. Vreman An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications , 2004 .

[16]  C. Meneveau,et al.  A Lagrangian dynamic subgrid-scale model of turbulence , 1994, Journal of Fluid Mechanics.

[17]  G. Houzeaux,et al.  A variational subgrid scale model for transient incompressible flows , 2008 .

[18]  Thomas J. R. Hughes,et al.  Large eddy simulation of turbulent channel flows by the variational multiscale method , 2001 .

[19]  U. Piomelli,et al.  Wall-layer models for large-eddy simulations , 2008 .

[20]  Santiago Badia,et al.  Assessment of variational multiscale models for the large eddy simulation of turbulent incompressible flows , 2015 .

[21]  Javier Jiménez,et al.  Scaling of the velocity fluctuations in turbulent channels up to Reτ=2003 , 2006 .

[22]  Guillaume Houzeaux,et al.  A low-dissipation finite element scheme for scale resolving simulations of turbulent flows , 2019, J. Comput. Phys..

[23]  Thomas J. R. Hughes,et al.  Weak imposition of Dirichlet boundary conditions in fluid mechanics , 2007 .

[24]  U. Piomelli Wall-layer models for large-eddy simulations , 2008 .

[25]  Dominique Pelletier,et al.  On the judicious use of the k-ε model, wall functions and adaptivity , 2004 .

[26]  M. Wheeler,et al.  Mixed Finite Elements for Elliptic Problems with Tensor Coefficients as Cell-Centered Finite Differences , 1997 .

[27]  M. Leschziner,et al.  Large Eddy Simulation of Separated Flow over a Two-dimensional Hump with and without Control by Means of a Synthetic Slot-jet , 2009 .

[28]  Soshi Kawai,et al.  Wall-modeling in large eddy simulation: Length scales, grid resolution, and accuracy , 2012 .

[29]  Thomas S. Lund,et al.  Kinetic energy conservation issues associated with the collocated mesh scheme for incompressible flow , 2006, J. Comput. Phys..

[30]  P. Moin,et al.  Log-layer mismatch and modeling of the fluctuating wall stress in wall-modeled large-eddy simulations. , 2017, Physical review fluids.

[31]  Wolfgang A. Wall,et al.  A new approach to wall modeling in LES of incompressible flow via function enrichment , 2015, J. Comput. Phys..

[32]  G. Park,et al.  Wall-Modeled Large-Eddy Simulation for Complex Turbulent Flows. , 2018, Annual review of fluid mechanics.

[33]  Stefan Turek,et al.  On the implementation of the κ-ε turbulence model in incompressible flow solvers based on a finite element discretisation , 2007, Int. J. Comput. Sci. Math..

[34]  F. Xavier Trias,et al.  Conservation Properties of Unstructured Finite-Volume Mesh Schemes for the Navier-Stokes Equations , 2014 .