Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows

Kawai, Soshi; Shankar, S.; Lele, Sanjiva K.

doi:10.1016/j.jcp.2009.11.005

Cited by 223 publications

(109 citation statements)

References 39 publications

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“…The pointer for the beginning of each row is denoted by z. The two column pointers corresponding to the coefficient and the variable are denoted by o (1) and o (2) , respectively. Note that there are two because of the three-dimensional coefficient array.…”

Section: A21 Flux Formmentioning

confidence: 99%

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High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

Fisher

Carpenter

2013

Journal of Computational Physics

289

265

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Section: A21 Flux Formmentioning

confidence: 99%

“…Solution methods for these problems are typically high-order adaptive [1,2] or hybrid [3] schemes or highly dissipative loworder methods. Many methods have been devised that attempt to balance accuracy, added dissipation, and efficiency.…”

Section: Introductionmentioning

confidence: 99%

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

Fisher

Carpenter

2013

Journal of Computational Physics

289

265

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“…These include, but are not limited to the streamline-upwind/Petrov-Galerkin (SUPG) type artificial viscosity [17,18,19,20], the Variational Multi-scale method (VMS) [21,22], localized artificial diffusivity using physical principles [10,11,23,24,25,26,27], the residual based artificial viscosity [14,15,28,29,30], the entropy artificial viscosity [16,31,32], the spectral vanishing viscosity [12,33], and the Laplacian artificial viscosity [13,34,35,36]. Other studies of the artificial viscosity methods can be found in References [37,38,39,40,41], just to name a few.…”

Section: Introductionmentioning

confidence: 99%

Localized Artificial Viscosity Stabilization of Discontinuous Galerkin Methods for Nonhydrostatic Mesoscale Atmospheric Modeling

Giraldo

Peng

et al. 2015

Monthly Weather Review

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Gibbs oscillation can show up near flow regions with strong temperature gradients in the numerical simulation of nonhydrostatic (NH) mesoscale atmospheric flows when using the highorder discontinuous Galerkin (DG) method. We propose to incorporate localized Laplacian artificial viscosity in the DG framework to suppress the spurious oscillation in the vicinity of sharp thermal fronts, while not contaminating the smooth flow features elsewhere. The resulting numerical formulation is then validated on several benchmark test cases, including a shock discontinuity problem with the 1D Burger's equation, and two test cases for the compressible Euler equations: a rising thermal bubble and density current. The results indicate that the proposed DG-localized Laplacian artificial viscosity method works robustly with a wide range of grid sizes and polynomial orders.

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“…Although inverting such a system requires a higher computational cost, they can offer vastly superior resolution for a given stencil size compared to their explicit counterparts. This quality has made them increasingly popular in the fields of computational aeroacoustics (CAA) [1,2], large eddy simulation (LES) [3][4][5], and direct numerical simulation (DNS) [6][7][8], particularly when high resolution is a necessity in order to properly resolve the relevant physical scales.…”

Section: Introductionmentioning

confidence: 99%

Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template

Turner

Haeri²,

Kim

2016

Computers & Fluids

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This paper presents efforts to improve the boundary efficiency and accuracy of a compact finite difference scheme, based on its composite template.Unlike precursory attempts the current methodology is unique in its quantification of dispersion and dissipation errors, which are only evaluated after the matrix system of equations has been rearranged for the derivative. This results in a more accurate prediction of the boundary performance, since the analysis is directly based on how the derivative is represented in simulations.A genetic algorithm acts as a comprehensive method for the optimisation of the boundary coefficients, incorporating an eigenvalue constraint for the linear stability of the matrix system of equations. The performance of the optimised composite template is tested on one-dimensional linear wave convection and two-dimensional inviscid vortex convection problems, with uniform and curvilinear grids. In all cases, it yields substantial accuracy and * Corresponding author, Email address: J.M.Turner@soton.ac.uk * * Current address: Department of Mechanical and Aerospace Engineering, University of Strathclyde, Glassgow, G1 1XQ, UK Preprint submitted to Computers & Fluids August 16, 2016 efficiency improvements while maintaining stable solutions and fourth-order accuracy.

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Assessment of localized artificial diffusivity scheme for large-eddy simulation of compressible turbulent flows

Cited by 223 publications

References 39 publications

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

High-order entropy stable finite difference schemes for nonlinear conservation laws: Finite domains

Localized Artificial Viscosity Stabilization of Discontinuous Galerkin Methods for Nonhydrostatic Mesoscale Atmospheric Modeling

Improving the boundary efficiency of a compact finite difference scheme through optimising its composite template

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