References
- R.W.C.P. Verstappen and A.E.P. Veldman, Symmetry-preserving discretization of turbulent flow, J. Comput. Phys. 187 (2003), pp. 343–368.
- R.W.C.P. Verstappen, On restraining the production of small scales of motion in a turbulent channel flow, Comput. Fluids 37 (2008), pp. 887–897.
- F.X. Trias, A. Gorobets, A. Oliva, and C.D. Pérez-Segarra, DNS and regularization modeling of a turbulent differentially heated cavity of aspect ratio 5, Int. J. Heat Mass Transf. 57 (2013), pp. 171–182.
- J.C. Kok, A high-order low-dispersion symmetry-preserving finite-volume method for compressible flow on curvilinear grids, J. Comput. Phys. 228 (2009), pp. 6811–6832.
- Y. Morinishi, Skew-symmetric form of convective terms and fully conservative finite difference schemes for variable density low-Mach number flows, J. Comput. Phys. 229 (2010), pp. 276–300.
- P.K. Subbareddy and G.V. Candler, A fully discrete, kinetic energy consistent finite-volume scheme for compressible flows, J. Comput. Phys. 228 (2009), pp. 1347–1364.
- B. van’t Hof and A.E.P. Veldman, Mass, momentum and energy conserving (MaMEC) discretizations on general grids for the compressible Euler and shallow water equations, J. Comput. Phys. 231 (2012), pp. 4723–4744.
- P.N. Vabishchevich, On the form of the hydrodynamics equations, West-East High Speed Flow Field Conference, Moscow, Russia, 19–22 November 2007.
- B. Sanderse, Energy-conserving Runge-Kutta methods for the incompressible Navier-Stokes equations, J. Comput. Phys. 233 (2013), pp. 100–131.
- C. Bogey and C. Bailly, A family of low dispersive and low dissipative explicit schemes for flow and noise computations, J. Comput. Phys. 194 (2004), pp. 194–214.
- B.J. Geurts and D.D. Holm, Regularization modeling for large-eddy simulation, Phys. Fluids 15 (2003), pp. L13–L16.
- J. Helder and R. Verstappen, On restraining convective subgrid-scale production in Burgers equation, Int. J. Numer. Methods Fluids 56 (2008), pp. 1289–1295.
- J.L. Guermond, J.T. Oden, and S. Prudhomme, Mathematical perspectives on large eddy simulation models for turbulent flows, J. Math. Fluid Mech. 6 (2004), pp. 194–248.
- Y. Morinishi, T.S. Lund, O.V. Vasilyev, and P. Moin, Fully conservative higher order finite difference schemes for incompressible flow, J. Comput. Phys. 143 (1998), pp. 90–124.
- R.D. Moser, J. Kim, and N.N. Mansour, Direct numerical simulation of turbulent channel flow up to Reτ = 590, Phys. Fluids 11 (1999), pp. 943–945.
- H. Foysi, S. Sarkar, and R. Friedrich, Compressibility effects and turbulence scalings in supersonic channel flow, J. Fluid Mech. 509 (2004), pp. 207–216.
- A.W. Vreman, An eddy-viscosity subgrid-scale model for turbulent shear flow: Algebraic theory and applications, Phys. Fluids 16 (2004), pp. 3670–3681.
- F. Nicoud, H.B. Toda, O. Cabrit, S. Bose, and J. Lee, Using singular values to build a subgrid-scale model for large eddy simulations, Phys. Fluids 23 (2011), 085106.
- J. Meyers and P. Sagaut, Is plane-channel flow a friendly case for the testing of large-eddy simulation subgrid-scale models?, Phys. Fluids 19 (2007), 048105.