Design of a Smagorinsky Spectral Vanishing Viscosity turbulence model for discontinuous Galerkin methods

Manzanero Torrico, Juan and Ferrer Vaccarezza, Esteban and Rubio, Gonzalo and Valero, Eusebio (2020). Design of a Smagorinsky Spectral Vanishing Viscosity turbulence model for discontinuous Galerkin methods. "Computers & Fluids", v. 200 (n. 30); ISSN 0045-7930. https://doi.org/10.1016/j.compfluid.2020.104440.

Description

Title: Design of a Smagorinsky Spectral Vanishing Viscosity turbulence model for discontinuous Galerkin methods
Author/s:
  • Manzanero Torrico, Juan
  • Ferrer Vaccarezza, Esteban
  • Rubio, Gonzalo
  • Valero, Eusebio
Item Type: Article
Título de Revista/Publicación: Computers & Fluids
Date: March 2020
ISSN: 0045-7930
Volume: 200
Subjects:
Freetext Keywords: Discontinuous Galerkin ; Energy Stableunder–resolved turbulence ; Large Eddy Simulation , Smagorinsky ; Spectral Vanishing Viscosity
Faculty: E.T.S. de Ingeniería Aeronáutica y del Espacio (UPM)
Department: Matemática Aplicada a la Ingeniería Aeroespacial
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

We present a new closure model for Large Eddy Simulation to introduce dissipation in under–resolved turbulent simulation using discontinuous Galerkin (DG) schemes applied to the compressible Navier–Stokes equations. The development of the method is based on a thorough analysis of the numerical dissipation mechanisms in DG schemes. In particular, we use upwind Riemann solvers for inter–element dissipation, and a Spectral Vanishing Viscosity (SVV) method for interior dissipation. First, these mechanisms are analysed using a linear von Neumann analysis (for a linear advection–diffusion equation) to characterise their properties in wave–number space. Second, their behaviour is tested using the three–dimensional Taylor–Green Vortex Navier–Stokes problem to assess transitional/turbulent flows. The results of the study are subsequently used to propose a DG–SVV approach that uses a mode-selection Smagorinsky LES model to compute the turbulent viscosity. When the SVV technique is combined with a low dissipation Riemann solver, the scheme is capable of maintaining low dissipation levels for laminar flows, while providing the correct dissipation for all wave–number ranges in turbulent regimes. The developed approach is designed for polynomial orders N ≥ 2 and is specially well suited for high order schemes. This new DG–SVV approach is calibrated with the Taylor–Green test case; to then show its accuracy in an under–resolved () channel flow at Reynolds number

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainRTI2018-097075-B-I00SIMOAIRUnspecifiedUnspecified
Horizon 2020GA-831977SACOCUnspecifiedAerodynamic upgrade of Surface Air Cooled Oil Cooler

More information

Item ID: 60424
DC Identifier: https://oa.upm.es/60424/
OAI Identifier: oai:oa.upm.es:60424
DOI: 10.1016/j.compfluid.2020.104440
Official URL: https://www.sciencedirect.com/science/article/pii/S0045793020300165?via%3Dihub#!
Deposited by: Memoria Investigacion
Deposited on: 14 Jan 2022 08:29
Last Modified: 01 Apr 2022 22:30
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