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Assessing Stretched-Vortex Subgrid-Scale Models in Finite Volume Methods for Unbounded Turbulent Flows

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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 subgrid-scale 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.

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Acknowledgements

The authors would like to acknowledge insightful discussions with Dr. Phillip Colella that contributed towards the methodologies proposed in this paper.

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Authors and Affiliations

  1. Computational Fluid Dynamics and Propulsion Laboratory, Colorado State University, Fort Collins, CO, 80523, USA

    Sean Walters, Xinfeng Gao & Stephen Guzik

  2. Applied Numerical Algorithms Group, Lawrence Berkeley National Laboratory, Berkeley, CA, 94720, USA

    Hans Johansen

Authors
  1. Sean Walters
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  2. Xinfeng Gao
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  3. Hans Johansen
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  4. Stephen Guzik
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Correspondence to Sean Walters.

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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.

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Walters, S., Gao, X., Johansen, H. et al. Assessing Stretched-Vortex Subgrid-Scale Models in Finite Volume Methods for Unbounded Turbulent Flows. Flow Turbulence Combust 106, 945–969 (2021). https://doi.org/10.1007/s10494-020-00206-1

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