turbulent closure
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2020 ◽  
Vol 8 (6) ◽  
pp. 465
Author(s):  
Muhammad Yusvika ◽  
Aditya Rio Prabowo ◽  
Dominicus Danardono Dwi Prija Tjahjana ◽  
Jung Min Sohn

Cavitation is a complex phenomenon to measure, depending on site conditions in specific regions of the Earth, where there is water with various physical properties. The development of ship and propulsion technology is currently intended to further explore territorial waters that are difficult to explore. Climate differences affect the temperature and physical properties of water on Earth. This study aimed to determine the effect of cavitation related to the physical properties of water. Numerical predictions of a cavitating propeller in open water and uniform inflow are presented with computational fluid dynamics (CFD). Simulations were carried out using Ansys. Numerical simulation based on Reynolds-averaged Navier–Stokes equations for the conservative form and the Rayleigh–Plesset equation for the mass transfer cavitation model was conducted with turbulent closure of the fully turbulent K-epsilon (k-ε) model and shear stress transport (SST). The influence of temperature on cavitation extension was investigated between 0   and   50   ° C . The results obtained showed a trend of cavitation occurring more aggressively at higher water temperature than at lower temperature.


2020 ◽  
Author(s):  
Florian Lemarie ◽  
Charles Pelletier ◽  
Pierre-Etienne Brilouet ◽  
Eric Blayo ◽  
Jean-Luc Redelsperger ◽  
...  

<p><span>Standard </span><span>methods for determining air – sea fluxes typically rely on bulk algorithms derived from the Monin-Obukhov stability theory (MOST), </span><span>using ocean surface fields and atmosphere near-surface fields. In the context of coupled ocean – atmosphere simulations, </span><span>the </span><span>shallowest ocean vertical level is usually assimilated to </span><span>the surface, and the turbulent closure is one-sided: it aims at extrapolating atmosphere near-surface solution profiles (for wind speed, temperature and humidity) to the prescribed ocean surface values. </span><span>Assimilating near-surface ocean fields as surface ones is equivalent to considering that in the ocean surface layer, solution profiles are constant instead of also being determined by a turbulent closure. Here we introduce a method for extending existing turbulent parameterization</span><span>s</span><span> to a two-sided </span><span>context, by including the ocean surface layer and the viscous sublayers, which are also generally neglected in </span><span>standard air – sea fluxes computation. </span><span>The formalism we use for this method is derived from that of classical turbulent closure, so that our novelties can easily be implemented within existing formulations.</span> <span>Special care is taken to </span><span>ensure the smoothness of </span><span>resulting solution profiles. </span><span>We</span> <span>investigate the </span><span>impact of such two-sided bulk formulations on air - sea fluxes and </span><span>discuss further implications such as resulting bulk formulation retuning. We also present leads on incorporating </span><span>other mechanisms impacting air – sea fluxes within our framework, such as waves and radiation penetration.<br></span></p>


2020 ◽  
Vol 15 ◽  

In this paper, the relation between the Noll formulation of the principle of material frame indifference and the principle of turbulent frame indifference in large eddy simulation, is revised. The principle of material frame indifference and the principle of turbulent frame indifference proposed by Hutter and Joenk imposes that both constitutive equations and turbulent closure relations must respect both the requirement of form invariance, and the requirement of frame independence. In this paper, a new rule for the formalization of turbulent closure relations, is proposed. The generalized SGS turbulent stress tensor is related exclusively to the generalized SGS turbulent kinetic energy, which is calculated by means of its balance equation, and the modified Leonard tensor.


2018 ◽  
Vol 860 ◽  
pp. 577-607
Author(s):  
E. Woillez ◽  
F. Bouchet

We model the dynamics of Jupiter’s jets by the stochastic barotropic $\unicode[STIX]{x1D6FD}$-plane model. In this simple framework, by analytic computation of the averaged effect of eddies, we obtain three new explicit results about the equilibrium structure of jets. First we obtain a very simple explicit relation between the Reynolds stresses, the energy injection rate and the averaged velocity shear. This predicts the averaged velocity profile far from the jet edges (extrema of zonal velocity). Our approach takes advantage of a time-scale separation between the inertial dynamics on one hand, and the spin-up (or spin-down) time on the other. Second, a specific asymptotic expansion close to the eastward jet extremum explains the formation of a cusp at the scale of energy injection, characterized by a curvature that is independent of the forcing spectrum. Finally, we derive equations that describe the evolution of the westward tip of the jets. The analysis of these equations is consistent with the previously discussed picture of barotropic adjustment, explaining the relation between the westward jet curvature and the $\unicode[STIX]{x1D6FD}$-effect. Our results give a consistent overall theory of the stationary velocity profile of inertial barotropic zonal jets, in the limit of small-scale forcing.


Author(s):  
Masoud Darbandi ◽  
Mohammad Bagher Barezban ◽  
Gerry E. Schneider

In this paper, the turbulent reacting flow in an industrial furnace is numerically simulated using the RANS equations. The two-equation standard k-ε and the eddy dissipation models are used respectively to close the turbulent closure problem and to consider the turbulence-chemistry interaction. The radiation transfer equation is solved using the discrete ordinates method (DOM). To calculate the radiation absorption coefficient in participating combustion gases, we use the spectral line-based weighted sum of grey gases (SLW) model and compare the achieved results with famous gray-based model, i.e., the weighted-sum-of-gray-gases (WSGG) model. The results of this research show that using the SLW model, the predicted heat transfer from the flame to the furnace walls is reduced due to the thermal radiation. So, the predicted temperature filed increases up to 5% near the outlet of furnace in comparison with the results of WSGG model, which is in more agreement with the experimental data. These results indicate that if one wishes to accurately predict the temperature field and the temperature sensitive quantities such as the NOx emission, one should use the spectral-based models to calculate the radiation absorption coefficient. The details are discussed in the results section.


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