An improved algorithm for simulating three-dimensional, viscoelastic turbulence

Vaithianathan, T.; Robert, Anthony; Brasseur, James G.; Collins, Lance R.

doi:10.1016/j.jnnfm.2006.03.018

Cited by 86 publications

(89 citation statements)

References 39 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We trace the smoothing to the relaxation term in equation (12), which causes the polymer stress in neighboring points to correlate, even though their initial flow histories were uncorrelated. Nevertheless, the sharp features found in the polymer stress suggest that it cannot be easily resolved in a three-dimensional DNS, motivating the use of hyperbolic solvers for these equations (Vaithianathan et al 2006).…”

Section: Resultsmentioning

confidence: 99%

“…its strength, propagation speed, etc) without fully resolving it. Motivated by these results, Vaithianathan et al (2006) adapted the secondorder hyperbolic solver of Kurganov and Tadmor (2000) to advance the conformation tensor equations. The advantage of this flux limiter-based scheme is that it adjusts in the vicinity of shocks so that the bounds on the eigenvalues cannot be violated, eliminating the instabilities that can arise in these types of calculations (Vaithianathan and Collins 2003), without introducing a global stress diffusivity (Sureshkumar and Beris 1995).…”

Section: Linearity and Resolutionmentioning

confidence: 99%

“…This has, in part, been driven by recent direct numerical simulations (DNS) of polymer drag reduction in channel flows (Dimitropoulos et al 1998, 2001, Ilg et al 2002, Min et al 2003a, 2003b, Ptasinski et al 2003, Sureshkumar et al 1997, boundary layers (Dimitropoulos 2005(Dimitropoulos , 2006 and homogeneous turbulent flows (De Angelis et al 2005, Vaithianathan and Collins 2003, Vaithianathan et al 2006, 2007. Numerical simulations have the advantage of simultaneously solving for the flow and polymer fields, allowing for a more detailed investigation of the mechanisms underlying the drag reduction phenomenon.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Dynamics of dissolved polymer chains in isotropic turbulence

Jin¹,

Collins²

2007

New J. Phys.

View full text Add to dashboard Cite

Section: Resultsmentioning

confidence: 99%

Section: Linearity and Resolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Dynamics of dissolved polymer chains in isotropic turbulence

Jin¹,

Collins²

2007

New J. Phys.

View full text Add to dashboard Cite

“…Finite difference method is used to solve the conformation tensor transport equation due to its hyperbolic characteristics. A second-order Kurganov-Tadmor scheme 43 …”

Section: Les Of Fhit With Polymer Additives Based On Mct Sgs Modelmentioning

confidence: 99%

Wavelet analysis of coherent structures and intermittency in forced homogeneous isotropic turbulence with polymer additives

Wang

Zheng

Cai

et al. 2017

Advances in Mechanical Engineering

View full text Add to dashboard Cite

Large eddy simulation was performed for forced homogeneous isotropic turbulence with/without polymer additives. Wavelet transform in one dimension and two dimensions were performed to investigate the multi-resolution features of coherent structures and intermittency in forced homogeneous isotropic turbulence based on large eddy simulation database. Using wavelet decomposition in one dimension and two dimension, it is found that polymer additives behave inhibitive effect on the intermittent pulse and the amount of coherent structures in forced homogeneous isotropic turbulence. The reconstructions of velocity waveform for coherent structures with strongest intermittence were surveyed at the scale a = 2 6 obtained by maximum energy criterion, showing that the quasi-periodicity and intermittence for coherent structures in polymer solutions are not as distinct as that in the Newtonian fluid. To detect intermittency, the flatness factor and local intermittency measure for velocity fluctuation signals were calculated by wavelet coefficients. The results for flatness factor in one-dimensional wavelet transform and LIM in both one-dimensional and twodimensional wavelet transform intuitively show that the local contribution to intermittency in polymer solutions flow is relatively smaller, leading to the suppression of intermittency in forced homogeneous isotropic turbulence with polymer additives. The robustness of wavelet transform method has been demonstrated in exploring the characteristics of turbulent structures and intermittency, which are of key importance in understanding the mechanism of turbulent drag reduction.

show abstract

“…For direct numerical simulations in turbulent flow, Sureshkumar and Beris [8] introduced an artificial stress diffusion term into the evolution equation of the conformation tensor, leading to successful results when used with spectral methods. Vaithianathan et al [9] developed another method that also guarantees positive eigenvalues of the conformation tensor, while preventing over-extension for dumbbell-based models, such as the Oldroyd-B, FENE-P and Giesekus models. Their finite difference method (FDM) was coupled with a pseudo-spectral scheme for homogeneous turbulent shear flow.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

Junior

Oishi

Afonso

et al. 2016

Adv. Model. and Simul. in Eng. Sci.

View full text Add to dashboard Cite

We present a numerical study of a stabilization method for computing confined and free-surface flows of highly elastic viscoelastic fluids. In this approach, the constitutive equation based on the conformation tensor, which is used to define the viscoelastic model, is modified introducing an evolution equation for the square-root conformation tensor. Both confined and free-surface flows are considered, using two different numerical codes. A finite volume method is used for confined flows and a finite difference code developed in the context of the marker-and-cell method is used for confined and free-surface flows. The implementation of the square-root formulation was performed in both numerical schemes and discussed in terms of its ability and efficiency to compute steady and transient viscoelastic fluid flows. The numerical results show that the square-root formulation performs efficiently in the tested benchmark problems at high-Weissenberg number flows, such as the lid-driven cavity flow, the flow around a confined cylinder, the cross-slot flow and the impacting drop free surface problem.

show abstract

An improved algorithm for simulating three-dimensional, viscoelastic turbulence

Cited by 86 publications

References 39 publications

Dynamics of dissolved polymer chains in isotropic turbulence

Dynamics of dissolved polymer chains in isotropic turbulence

Wavelet analysis of coherent structures and intermittency in forced homogeneous isotropic turbulence with polymer additives

Numerical study of the square-root conformation tensor formulation for confined and free-surface viscoelastic fluid flows

Contact Info

Product

Resources

About