High-Order Fluxes for Conservative Skew-Symmetric-like Schemes in Structured Meshes: Application to Compressible Flows

An eighth-order filter method for a wide range of compressible flow speeds (H.C. Yee and B. Sjogreen, Proceedings of ICOSAHOM09, June 22-26, 2009, Trondheim, Norway) are employed for large eddy simulations (LES) of temporally evolving mixing layers (TML) for different convective Mach numbers (M c ) and Reynolds numbers. The high order filter method is designed for accurate and efficient simulations of shock-free compressible turbulence, turbulence with shocklets and turbulence with strong shocks with minimum tuning of scheme parameters. The value of M c considered is for the TML range from the quasi-incompressible regime to the highly compressible supersonic regime. The three main characteristics of compressible TML (the self similarity property, compressibility effects and the presence of large-scale structure with shocklets for high M c ) are considered for the LES study. The LES results using the same scheme parameters for all studied cases agree well with experimental results of , and published direct numerical simulations (DNS) work of Rogers & Moser (1994) and Pantano & Sarkar (2002). Key words: DNS, LES, Homogeneous turbulence, Mixing layer, SWBLI Motivation and ObjectiveFor the last decade there has been an increase in the use of computational fluid dynamics (CFD) in engineering science, not only for fundamental understanding of complex compressible turbulent physics, but also for the development and design of industrial devices. Owing to the recent progress in petascale computing, in tandem with advances in algorithm development for accurate direct numerical simulations (DNS) and large eddy simulations (LES) of shock free compressible turbulence and turbulence with strong shocks, this type of DNS and LES computation has gradually been able to tackle more complex flows physics. Advances in flow visualization tools have paved the way to extracting valuable information from the computed results containing hundreds of terabytes of data. Examples include * This work was performed while the first author was a visiting scholar at the Center for Turbulence Research, Stanford University.

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“…• The system form of the Ducros et al splitting [12]: This is a conservative splitting and the derivation is based on physical arguments.…”

Section: High Order Nonlinear Filter Schemesmentioning

confidence: 99%

LES of temporally evolving mixing layers by an eighth‐order filter scheme

Hadjadj

Yee

Sjögreen

2012

Numerical Methods in Fluids

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“…Hence, to distinguish shock waves from smooth turbulent regions, the Hybrid method relies on a shock sensor based on vorticity and dilatation. In smooth regions, a sixth-order accurate central differencing scheme is applied in split (or 'skew-symmetric') form for improved nonlinear stability (37). In discontinuous regions, a fifthorder accurate WENO scheme is used.…”

Section: Methodsmentioning

confidence: 99%

Simulations of Turbulent Flows with Strong Shocks and Density Variations: Final Report

Lele¹

2012

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“…Additionally, skew-symmetric terms must be written in flux-conservative form [10,11]. Skewsymmetric fluxes F skew j+1/2 are sought satisfying…”

Section: Methodsmentioning

confidence: 99%

A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows

Pantano

Deiterding

Hill

et al. 2007

Journal of Computational Physics

102

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Abstract. This paper describes a hybrid finite-difference method for the large-eddy simulation of compressible flows with low-numerical dissipation and structured adaptive mesh refinement (SAMR). A conservative flux-based approach is described with an explicit centered scheme used in turbulent flow regions while a weighted essentially non-oscillatory (WENO) scheme is employed to capture shocks. Three-dimensional numerical simulations of a Richtmyer-Meshkov instability are presented.

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High-Order Fluxes for Conservative Skew-Symmetric-like Schemes in Structured Meshes: Application to Compressible Flows

Cited by 291 publications

References 33 publications

LES of temporally evolving mixing layers by an eighth‐order filter scheme

LES of temporally evolving mixing layers by an eighth‐order filter scheme

Simulations of Turbulent Flows with Strong Shocks and Density Variations: Final Report

A low numerical dissipation patch-based adaptive mesh refinement method for large-eddy simulation of compressible flows

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