Efficient treatment of complex geometries for large eddy simulations of turbulent flows

Grigoriadis, D.G.E.; Bartzis, John G.; Goulas, A.

doi:10.1016/s0045-7930(03)00038-0

Cited by 29 publications

(25 citation statements)

References 23 publications

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“…The above-mentioned implementation technique eliminates load imbalance and achieves an excellent parallel performance. The full details of the numerical technique can be found in Reference [15].…”

Section: Methodsmentioning

confidence: 99%

“…A new approximate wall boundary condition was constructed, which was ÿrst validated for simpler separating ows such as the ow over a backwards facing step [15]. The local character of that boundary condition emerges from the perfect correlation that is assumed between the resultant velocity parallel to the wall of the ÿrst node closest to the wall |ũ| w and the instantaneous wall shear stress w at the elementary boundary surface.…”

Section: Solid Wall Boundary Conditionsmentioning

confidence: 99%

“…In order to evaluate X r for such a time varying ow, a time-averaged quantity (x; z) was deÿned [15] such that…”

Section: Estimation Of Global Parametersmentioning

confidence: 99%

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LES of the flow past a rectangular cylinder using the immersed boundary concept

Grigoriadis

Bartzis

Goulas

2003

Numerical Methods in Fluids

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SUMMARYIncompressible turbulent ow past a long square cylinder is investigated using large eddy simulations (LES). Results are presented and compared with available experimental databases for a Reynolds number Re d = 22 000. The problem served as one of the validation cases for the development of a numerical code designed for e cient, parallel, three-dimensional N-S computations in complex geometrical conÿgurations. In contrast with previous studies, the geometrical deÿnition of the problem is established by the immersed boundary concept (IMB) while pressure solution is performed by a fast, fully parallel direct pressure solver. Calculations were performed with the widely applied Smagorinsky turbulence model and the ÿltered structure function model (FSF) which has not been previously applied to the ow case under consideration. In order to assess the potential of LES at its lowest (RANS), and highest (DNS) limit, di erent numerical resolutions were examined. Depending on the available resolution, either no-slip conditions or a modiÿed Werner and Wengle approximate wall boundary condition was used. The predicted mean velocity and uctuation proÿles, force statistics and Strouhal numbers were found to be in very good agreement with the experimental data sets. Analysis of the results indicates that for time varying blu -bodies ows that involve complex ow phenomena, successful large eddy simulations are not just possible, but can also achieve an excellent quality of results at a relatively low cost.

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Section: Methodsmentioning

confidence: 99%

Section: Solid Wall Boundary Conditionsmentioning

confidence: 99%

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LES of the flow past a rectangular cylinder using the immersed boundary concept

Grigoriadis

Bartzis

Goulas

2003

Numerical Methods in Fluids

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“…In LES, the governing equations are spatially ÿltered, with the ÿlter width (proportional to the size of each grid element) representing the scales in the ow ÿeld that are resolved [1,[9][10][11][12]16]. The non-dimensional ÿltered governing equations for the conservation of mass and momentum for an incompressible Newtonian uid are given as…”

Section: Les Methodologymentioning

confidence: 99%

“…Also, a review of immersed boundary technique for turbulent ows is presented by Iaccarino and Verzicco [11]. Grigoriadis et al [10] and Balaras [9] used the IBM in conjunction with LESs. Lima E Silva et al [29] presented an approach to evaluate the Navier-Stokes equation for force calculation at Lagrangian immersed points followed by the redistribution of forces on the Eulerian mesh.…”

Section: The Ibm Conceptmentioning

confidence: 99%

Large eddy simulation of turbulent flows in complex and moving rigid geometries using the immersed boundary method

Tyagi

Acharya

2005

Int. J. Numer. Meth. Fluids

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SUMMARYA large eddy simulation (LES) methodology for turbulent ows in complex rigid geometries is developed using the immersed boundary method (IBM). In the IBM body force terms are added to the momentum equations to represent a complex rigid geometry on a ÿxed Cartesian mesh. IBM combines the e ciency inherent in using a ÿxed Cartesian grid and the ease of tracking the immersed boundary at a set of moving Lagrangian points. Speciÿc implementation strategies for the IBM are described in this paper. A two-sided forcing scheme is presented and shown to work well for moving rigid boundary problems. Turbulence and ow unsteadiness are addressed by LES using higher order numerical schemes with an accurate and robust subgrid scale (SGS) stress model. The combined LES-IBM methodology is computationally cost-e ective for turbulent ows in moving geometries with prescribed surface trajectories.Several example problems are solved to illustrate the capability of the IBM and LES methodologies. The IBM is validated for the laminar ow past a heated cylinder in a channel and the combined LES-IBM methodology is validated for turbulent ÿlm-cooling ows involving heat transfer. In both cases predictions are in good agreement with measurements. LES-IBM is then used to study turbulent uid mixing inside the complex geometry of a trapped vortex combustor. Finally, to demonstrate the full potential of LES-IBM, a complex moving geometry problem of stator-rotor interaction is solved.

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Large eddy simulation in generalized curvilinear coordinates using conventional approach: Theory and validation

Panjwani

Ertesvåg

Gruber

et al. 2011

Numerical Methods in Fluids

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SUMMARY Large eddy simulation (LES) methodology in curvilinear coordinates is presented in this study, where filtering is performed prior to the transformation in contrast to the alternate approach proposed by Jordan [J. Comput. Phys. 1999; 148:322–340], where filtering is done after the transformation. The main objective of the present study is to elaborate on the problems mentioned by Jordan with the conventional approach, and its consequences for the overall accuracy. The paper also provides remedies to the problems associated with the conventional approach. The present method treats the Leonard term in physical space rather than in computational space. Some practical difficulties associated with the alternate approach are also considered. Main advantages with the present conventional approach are: first an existing Reynolds averaged Navier–Stokes code can easily be extended for LES and second a wide range of existing advanced subgrid stress model can be used without any modifications. Filtering in physical space introduces a commutation error between filtering and differentiation due to non‐uniform meshes. The commutation filters in generalized coordinates are presented. LESs of four standard test cases are carried out to validate the present methodology. The four standard test cases are: (i) a lid‐driven cavity at Reynolds number (Re) of 12 000, (ii) a pipe flow at a friction Reynolds number Reτ of 360, (iii) a backward facing step at Re = 5100, and (iv) an axisymmetric confined dump combustor at Re = 11000. The results are validated against the reference data (direct numerical simulation or experiments). The mean velocity profiles and the turbulence intensities compared satisfactorily with the reference data. Copyright © 2011 John Wiley & Sons, Ltd.

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Efficient treatment of complex geometries for large eddy simulations of turbulent flows

Cited by 29 publications

References 23 publications

LES of the flow past a rectangular cylinder using the immersed boundary concept

LES of the flow past a rectangular cylinder using the immersed boundary concept

Large eddy simulation of turbulent flows in complex and moving rigid geometries using the immersed boundary method

Large eddy simulation in generalized curvilinear coordinates using conventional approach: Theory and validation

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