Assessing Stretched-Vortex Subgrid-Scale Models in Finite Volume Methods for Unbounded Turbulent Flows
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Assessing Stretched‑Vortex Subgrid‑Scale Models in Finite Volume Methods for Unbounded Turbulent Flows Sean Walters1 · Xinfeng Gao1 · Hans Johansen2 · Stephen Guzik1 Received: 20 April 2020 / Accepted: 9 August 2020 © Springer Nature B.V. 2020
Abstract Simulations of complex, compressible, high-Reynolds-number flows require high-fidelity physics and turbulence models to be appropriately coupled with strong numerical regularization methods. Obtaining grid-independent and scheme-independent solutions of these flows when using both explicit turbulence models and additional numerical regularization is especially important for further testing and development of accurate physics models. To this end, the current study investigates the interaction between the stretched-vortex subgrid-scale model and both the fourth-order piecewise parabolic limiter and a fifth-order upwinding interpolation (or hyperviscosity). It is demonstrated that computing the subgridscale kinetic energy estimate for the stretched-vortex model at a coarser resolution than the base mesh provides results which are independent of the use of numerical regularization techniques. This is shown to be the case for a temporally-evolving shear-layer, the inviscid Taylor–Green vortex problem, and a decaying, homogeneous turbulent flow. Keywords High-order finite-volume methods · Large-eddy simulation · Stretched-vortex turbulence model · High-Reynolds-number flows
1 Introduction Many flows of engineering interest are turbulent and inherently multiscale. Numerically resolving all scales in a high-Reynolds-number turbulent flow is challenging with today’s computational capabilities. However, large-eddy simulation (LES) is a promising This research was supported by Department of Defense United States Air Force (DOD-USAF-Air Force) under the Award Number FA9550-18-1-0057. This material is partly based upon work at Lawrence Berkeley National Laboratory (LBNL) supported by the U.S. Department of Energy, Office of Science, Advanced Scientific Computing Research, under Contract Number DE-AC02-05CH11231. This research was supported by the National Science Foundation under the Award Number 1723191. * Sean Walters [email protected] 1
Computational Fluid Dynamics and Propulsion Laboratory, Colorado State University, Fort Collins, CO 80523, USA
2
Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA
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Flow, Turbulence and Combustion
alternative to direct numerical simulations (DNS) in that it solves large scales while modeling small-scale effects to provide a solution acceptable for many engineering requirements. The approach is logical when rate-limiting processes happen at the larger resolved scales (Pope 2004). Even so, defining and modeling the small scales becomes one of the key issues in LES. The typical LES definition of small scales begins by separating the original solution field, 𝜙 , into representable scales, 𝜙̄ , and unrepresentable scales, 𝜙′ , by means of a standard LES
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