Turbulence modeling from a new perspective

Tao, Lan; Ramakrishna, M.; Rajagopal, Κ. R.

doi:10.1016/j.nonrwa.2008.10.049

Cited by 3 publications

(8 citation statements)

References 10 publications

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“…In a series of papers, Rajagopal and co-workers have shed more light on the constitutive modeling of turbulence and the similarities between turbulent flow and the flow of non-Newtonian fluids. (See Huang and Rajagopal (1996), Rajagopal et al (2004), Huang et al (2003), and Tao et al (2010)). Future efforts to develop a rational, accurate model of blood trauma would benefit from this fundamental work.…”

Section: Discussionmentioning

confidence: 99%

On the representation of turbulent stresses for computing blood damage

Hund

Antaki

Massoudi

2010

International Journal of Engineering Science

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Computational prediction of blood damage has become a crucial tool for evaluating blood-wetted medical devices and pathological hemodynamics. A difficulty arises in predicting blood damage under turbulent flow conditions because the total stress is indeterminate. Common practice uses the Reynolds stress as an estimation of the total stress causing damage to the blood cells. This study investigates the error introduced by making this substitution, and further shows that energy dissipation is a more appropriate metric of blood trauma.

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Section: Discussionmentioning

confidence: 99%

On the representation of turbulent stresses for computing blood damage

Hund

Antaki

Massoudi

2010

International Journal of Engineering Science

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“…However, this requires extremely large computer resources and with present day computers a direct numerical simulation (DNS) is possible only at relatively low Reynolds numbers. Despite significant progress in understanding turbulent behaviour during the last century, the modelling of turbulence is still an unresolved problem and will remain so for the foreseeable future [5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of the pressure field in industrial buildings with curved metallic roofs due to the wind effect by FEM

Díaz¹,

Nieto²,

Vilán³

et al. 2013

Applied Mathematics and Computation

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In this paper, an evaluation of distribution of the air pressure is determined throughout the laterally closed industrial buildings with curved metallic roofs due to the wind effect by the finite element method (FEM). The non-linearity is due to Reynolds-averaged Navier-Stokes (RANS) equations that govern the turbulent flow. The Navier-Stokes equations are non-linear partial differential equations and this non-linearity makes most problems difficult to solve and is part of the cause of turbulence. The RANS equations are time-averaged equations of motion for fluid flow. They are primarily used while dealing with turbulent flows. Turbulence is a highly complex physical phenomenon that is pervasive in flow problems of scientific and engineering concern like this one. In order to solve the RANS equations a two-equation model is used: the standard k   model. The calculation has been carried out keeping in mind the following assumptions: turbulent flow, an exponential-like wind speed profile with a maximum velocity of 40 m/s at 10 m reference height, and different heights of the building ranging from 6 to 10 meters. Finally, the forces and moments are determined on the cover, as well as the distribution of pressures on the same one, comparing the numerical results obtained with the Spanish CTE DB SE-AE, Spanish NBE AE-88 and European standard rules, giving place to the conclusions that are exposed in the study.

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“…Exploring a different strategy, Tao, et al (cf. [12]) have attempted to unify the methodologies by both employing multi-scale correlations to inhomogeneous turbulence and resolving the issue of closure through multi-objective optimization under various constraints of equality and inequality. These constraints are either general and intrinsic to turbulence or special to a particular flow concerned.…”

Section: Introductionmentioning

confidence: 99%

“…Specifically, Tao, et al (cf. [12]) have presented a rationale for statistically averaged multiscale turbulence modeling for an incompressible Newtonian fluid on the basis of optimizing certain objective functions motivated by homogeneous turbulence. From the viewpoint of information availability, they have justified why their formulation is restricted to the resolution of the average flow fields up to the second order correlations and to the modeling of the third and fourth order correlations in algebraic forms.…”

Section: Introductionmentioning

confidence: 99%

“…Several objective functions are tentatively proposed to be minimized in [12]. One difficulty encountered in the proposal is the development of a computational scheme to carry out the multi-objective optimization itself and the selection of an optimal solution among the possibly many; the alternative is to seek a single objective function to be optimized as discussed in this work.…”

Section: Introductionmentioning

confidence: 99%

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Multi-scale turbulence modeling and the maximum information principle

Tao

Ramakrishna

2011

Int J Adv Eng Sci Appl Math

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We discuss averaged turbulence modeling of multi-scales of length for an incompressible Newtonian fluid, with the help of the maximum information principle. We suppose that there exists a function basis to decompose the turbulent fluctuations in a flow of our concern into the components associated with various spatial scales and that there is a probability density function f of these fluctuation components. The unbiased form for f is determined and the turbulence model is closed, with the multi-scale correlations up to the fourth order, through maximizing the information under the constraints for that flow. Due to the computational difficulty to maximize the information, a closely related but simple alternative objective is sought, like the determinant or the trace of the second order correlations of the turbulent flow. The issues still yet to be resolved are indicated.

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Turbulence modeling from a new perspective

Cited by 3 publications

References 10 publications

On the representation of turbulent stresses for computing blood damage

On the representation of turbulent stresses for computing blood damage

Nonlinear analysis of the pressure field in industrial buildings with curved metallic roofs due to the wind effect by FEM

Multi-scale turbulence modeling and the maximum information principle

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