Abstract

The performance of parallel implicit Large Eddy Simulations (iLES) is investigated in conjunction with high-order weighted essentially non-oscillatory schemes up to 11th-order of accuracy. Simulations were performed for the Taylor Green Vortex and supersonic turbulent boundary layer flows on High Performance Computing (HPC) facilities. The present iLES are highly scalable achieving performance of approximately 93% and 68% on 1536 and 6144 cores, respectively, for simulations on a mesh of approximately 1.07 billion cells. The study also shows that high-order iLES attain accuracy similar to strict Direct Numerical Simulation (DNS) but at a reduced computational cost.

Highlights

  • Implicit Large Eddy Simulations originated from the observations made in [1] that the embedded dissipation of a certain class of numerical methods can be used in lieu of the explicit SubGrid Scale (SGS) models

  • The aim of this study is to present results regarding the accuracy, efficiency and parallel scalability of high-order implicit Large Eddy Simulations (iLES) with reference to the Taylor Green Vortex (TGV) and supersonic Turbulent Boundary Layer (TBL) flows

  • The results show that high-order iLES can attain high accuracy at a reduced computational cost, cf. iLES W9-LR with the rest of the results

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Summary

Introduction

Implicit Large Eddy Simulations (iLES) originated from the observations made in [1] that the embedded dissipation of a certain class of numerical methods can be used in lieu of the explicit SubGrid Scale (SGS) models. Only the (implicit) de facto filtering introduced through the finite volume integration of the NSE over the mesh cells is utilised in conjunction with non-linear numerical schemes that adhere to a number of principles; see [10,11], and reviews [9,12,13]. It has been shown [7] that iLES methods need to be carefully designed, optimised, and validated for the particular differential equation to be solved. Direct MEA of high-resolution schemes for NSE is difficult to be performed, understanding of the numerical properties of these methods to date still relies on performing computational experiments

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