High resolution NVD differencing scheme for arbitrarily unstructured meshes

Jasak, Hrvoje; Weller, H. G.; Gosman, A. D.

doi:10.1002/(sici)1097-0363(19990930)31:2<431::aid-fld884>3.0.co;2-t

Cited by 469 publications

(129 citation statements)

References 19 publications

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“…An unstructured mesh of polyhedral cells is employed. The cell-center values of the variables are interpolated at face locations using a second order Central Difference Scheme for the diffusive terms and Limited Linear scheme for the convection terms [11]. Advancement in time is accomplished by the second-order implicit Euler scheme.…”

Section: Flow Modelling and Computational Approachmentioning

confidence: 99%

3D flow around a rectangular cylinder: A computational study

Bruno

Fransos²,

Coste³

et al. 2010

Journal of Wind Engineering and Industrial Aerodynamics

165

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Section: Flow Modelling and Computational Approachmentioning

confidence: 99%

3D flow around a rectangular cylinder: A computational study

Bruno

Fransos²,

Coste³

et al. 2010

Journal of Wind Engineering and Industrial Aerodynamics

165

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“…The linear-upwind interpolation scheme (the second-order upwind scheme [65]) and linear (second-order central differences, CDS-2) interpolation were applied for convective terms approximation and other spatial derivatives, respectively, for the RAS calculations. For the Scale-Adaptive and Large-Eddy simulations, the total variation diminishing (TVD) [21] and normalized-variable (NVD) [24] schemes were used for the scalars to avoid unphysical overshoots and second law violations. A second-order implicit Euler method (BDF-2 [17]) was used for time integration together with the dynamic adjustable time stepping technique to guarantee a local Courant number less than 0.75 for URANS, SAS and LES.…”

Section: Openfoammentioning

confidence: 97%

Reynolds-Averaged, Scale-Adaptive and Large-Eddy Simulations of Premixed Bluff-Body Combustion Using the Eddy Dissipation Concept

Lysenko¹,

Ertesvåg

2017

Flow Turbulence Combust

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A lean premixed propane/air bluff-body stabilized flame (Volvo test rig) is calculated using the Scale-Adaptive Simulation turbulence model (SAS) and Large-Eddy simulations (LES) as well as the conventional Reynoldsaveraged approach (RAS). RAS and SAS are closed by the standard k-ǫ and the k-ω Shear Stress Transport (SST) turbulence models, respectively. The conventional Smagorinsky and the k-equation sub-grid scales models are used for the LES closure. Effects of the sub-grid scalar flux modeling using the classical gradient hypothesis and Clark's tensor diffusivity closures both for the inert and reactive LES flows are discussed. The Eddy Dissipation Concept (EDC) is used for the turbulence-chemistry interaction. It assumes that molecular mixing and the subsequent combustion occur in the 'fine structures' (smaller dissipative eddies, which are close to the Kolmogorov scales). Assuming the full turbulence energy cascade, the characteristic length and velocity scales of the 'fine structures' are evaluated using different turbulence models (RAS, SAS and LES). The finite-rate chemical kinetics is taken into account by treating the 'fine structures' as constant pressure and adiabatic homogeneous reactors, calculated as a system of ordinary-differential equations (ODEs) described by a Perfectly Stirred Reactor (PSR) concept. Several further enhancements to model the PSRs are proposed, including a new Livermore Solver (LSODA) for integrating stiff ODEs and a new correction to calculate the PSR time scales. All models have been implemented as a stand-alone application edcPisoFoam based on the OpenFOAM technology. Additionally, several RAS calculations were performed using the Turbulence Flame Speed Closure model in Ansys Fluent to assess effects of the heat losses by modeling the conjugate heat transfer between the bluff-body and the reactive flow. Effects of the turbulence Schmidt number on RAS results are discussed as well. Numerical results are compared with available experimental data. Reasonable consistency between experimental data and numerical results provided by RAS, SAS and LES is observed. In general, there is satisfactory agreement between present LES-EDC simulations, numerical results by other authors and measurements without any major modification to the EDC closure constants, which gives a quite reasonable indication on the adequacy and accuracy of the method and its further application for turbulent premixed combustion simulations.

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“…This is apparent in Fig. 6, where the dissipative nature of the second order Boundary Central Difference (BCD) scheme [40] impedes upon the formation of turbulence on both global models. However, the most striking effect occurs with SAS.…”

Section: Thermal Mixing In a T-junctionmentioning

confidence: 99%

A Review of Embedded Large Eddy Simulation for Internal Flows

Holgate

Skillen

Craft

et al. 2018

Arch Computat Methods Eng

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When scale-resolving simulation approaches are employed for the simulation of turbulent flow, computational cost can often be prohibitive. This is particularly true for internal wall-bounded flows, including flows of industrial relevances which may involve both high Reynolds number and geometrical complexity. Modelling the turbulence induced stresses (at all scales) has proven to lack requisite accuracy in many situations. In this work we review a promising family of approaches which aim to find a compromise between cost and accuracy; hybrid RANS-LES methods. We place particular emphasis on the emergence of embedded large eddy simulation. These approaches are summarised and key features relevant to internal flows are highlighted. A thorough review of the application of these methods to internal flows is given, where hybrid approaches have been shown to offer significant benefits to industrial CFD (relative to an empirical broadband modelling of turbulence). This paper concludes by providing a cost-analysis and a discussion about the emerging novel use-modalities for hybrid RANS-LES methods in industrial CFD, such as automated embedded simulation and multi-dimensional coupling.

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High resolution NVD differencing scheme for arbitrarily unstructured meshes

Cited by 469 publications

References 19 publications

3D flow around a rectangular cylinder: A computational study

3D flow around a rectangular cylinder: A computational study

Reynolds-Averaged, Scale-Adaptive and Large-Eddy Simulations of Premixed Bluff-Body Combustion Using the Eddy Dissipation Concept

A Review of Embedded Large Eddy Simulation for Internal Flows

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