Hydrodynamic stability and turbulent transition with the Vreman LES SGS and a modified lattice Boltzmann equation. Issue 4 (4th July 2018)

• Record Type: Journal Article
• Authors: Murdock, J. R.; Yang, S. L.
• Is Part Of: Revue Européenne de mécanique numérique. Volume 27:Issue 4(2018)
• Page Start: 277
• Page End: 301
• Publication Date: 2018-07-04
• Subjects: Transition -- lattice Boltzmann -- incompressible -- multiple relaxation time (MRT) -- large eddy simulation (LES) -- Vreman subgrid model -- hydrodynamic stability; Engineering mathematics -- Periodicals; Mechanics -- Data processing -- Periodicals; Finite element method -- Periodicals; Mechanics -- Mathematical models -- Periodicals; Engineering -- Statistical methods -- Periodicals; 621.05
• DOI: 10.1080/17797179.2018.1550380
• Languages: English
• ISSNs: 1779-7179

Abstract

ABSTRACT: For the evaluation of a broad range ofR e in incompressible flows, particularly unsteady and transition regimes, the Vreman subgrid scale model is studied within the framework of a modified lattice Boltzmann equation. A unique multiple relaxation time form which recovers the fully incompressible unsteady Navier-Stokes equations is derived for the D3Q19 lattice. Solutions to the 3D-driven cavity are compared to a number of lattice Boltzmann and Navier-Stokes solutions. Initial simulations demonstrate the vanishing nature of eddy viscosity in the steady laminar regime. Onset of unsteadiness is found betweenR e 1900 and 1950, matching well with the wealth of literature. AtR e 6000, velocity history and complex vortex structures show a transition to turbulence near the domain bottom and front walls while the centre of the domain retains laminar characteristics. ByR e 8000 intermittent turbulence has progressed to the domain centre. This range ofR e for transition and the flow characteristics are in agreement with the general ranges in literature, with further observations being added here. The Vreman model with an incompressible lattice Boltzmann method is found to be a promising tool for laminar-to-turbulent simulation.