Orientador: Jose Roberto Nunhez / Dissertação (mestrado) - Universidade Estadual de Campinas, Faculdade de Engenharia Quimica / Made available in DSpace on 2018-08-11T08:15:27Z (GMT). No. of bitstreams: 1 Lopes_GabrielaCantarelli_M.pdf: 1710566 bytes, checksum: efab0c6308734536b15c2ef91d4d8337 (MD5) Previous issue date: 2008 / Resumo: Processos que envolvem escoamentos de fluidos no interior de dutos estão presentes em muitas aplicações industriais. Na indústria petroquímica um desses processos que vem se tornando cada vez mais importante é o craqueamento catalítico de frações pesadas do petróleo, já que as converte em frações leves e mais nobres. Por causa da crescente demanda mundial por gasolina e GLP e à sua alta rentabilidade para uma refinaria de petróleo, unidades de craqueamento catalítico em leito fluidizado (FCC) estão presentes em todo o mundo. Testes experimentais costumam ser usados no estudo dos fenômenos envolvidos nesse processo. Porém esse tipo de análise possui alto custo, que pode ser reduzido com o uso de simulações computacionais em seu estudo inicial. Assim, o objetivo deste trabalho foi desenvolver um modelo tridimensional e elíptico, em linguagem Fortran, capaz de fornecer dados para a análise preliminar de escoamentos no interior de reatores de FCC. Na modelagem desses problemas são usadas equações diferenciais parciais, e essas não possuem solução analítica conhecida, sendo necessário o emprego de métodos numéricos para esse fim. Neste trabalho foi usado o Método dos Volumes Finitos, que tem a função de substituir as equações diferenciais parciais por equações algébricas aplicadas a pequenos volumes de controle finitos pertencentes ao domínio. Uma das maiores dificuldades encontradas no tratamento numérico de escoamentos incompressíveis é a determinação de um campo de pressão que satisfaça a Equação da Continuidade. Esse problema foi resolvido fazendo-se uso da abordagem acoplp.da de solução. Para análise do modelo foram obtidos perfis numéricos de velocidade e pressão para fluidos escoando em regimes laminar e turbulento, que foram validados usando-se os dados obtidos com a solução analítica das equações, por correlações (semi-) empíricas ou por dados experimentais, conforme cada um dos casos. Notou-se que o modelo representa muito bem casos laminares, e gue 11.oS casos turbulentos foi necessário um maior refino da malha próximo a parede do tubo. Também foram feitas simulações para que se pudessem observar as características tridimensionais, elípticas e transientes da modelagem do escoamento. De maneira geral o modelo se mostrou bastante rápido, convergindo em poucas iterações. Palavras-Chave: Fluidodinâmica computacional; dutos cilíndricos; modelo tridimensional e elíptico; método dos Volumes Finitos; solução acoplada; turbulência / Abstract: Processes involving fluid flow in tubes are present in many industrial applications. In petrochemical industry one of these processes that are becoming more and more important is the fluid catalytic cracking of heavy petroleum fractions. This fact is due to the process capacity to convert heavy fractions in light and valuable ones. Because of the increasingly worldwide demand for gasoline and LPG and its high yield for a petroleum refinery, fluid catalytic cracking (FCC) units are present in the whole world. Experimental tests are used in the study of the phenomena involved in this processo However this kind of analysis has high cost which can be reduced by using computational simulations in its initial study. Thus, the aim of this work was the development of a three-dimensional and elliptical mo dei in Fortran language in order to provide data for fluid flow preliminary analysis in FCC reactors. Partial differential equations were used in the modeling of these problems. These equations do not have known analytical solution, being necessary therefore the use of numerical methods. In this work the Finite Volume Method were applied with this purpose. This method has as a role to substitute the partial differential equations of the mo dei for algebric equations applied to small finite control volumes of the domain. One of the biggest difficulties found in the numerical treatment of incompressible fluid flows is the determination of apressure field that satisfies the Continuity Equation. This problem was solved using the coupled solution approach. For model analysis, numerical velocity and pressure proJ:iles for laminar and turbulent flows were obtained, that had been validated using the data obtained through the analytical solution of the equations, by empirical correlations or by experimental data, according to each one of the cases. The model represented well laminar cases, and in the turbulent ones the mesh had to be more refined near the tube wall. Other simulations were performed, in aQalyzing the three-dimensional, elliptical and transient model characteristics. In general, the mo dei was very fast, converging in a few interations. Keywords: Computational fluid dyn~mic; cylindrical ducts; three-dimensional and elliptical model; Finite Volume Method; coupled solution; turbulence / Mestrado / Desenvolvimento de Processos Químicos / Mestre em Engenharia Química

Esta tese apresenta um modelo matemático para simulação numérica do escoamento com turbilhonamento (swirl) em tochas de plasma térmico de arco não transferido que operam em corrente contínua, assim como os resultados obtidos com as simulações para estudo de casos. O modelo magneto-hidrodinâmico (modelo MHD) bidimensional permitiu simular a interação entre o escoamento e o arco elétrico usando uma configuração axissimétrica, que abrange as seguintes regiões: entrada do gás; interior da tocha; jato de plasma livre no ambiente. O modelo foi implementado num código numérico baseado no Método dos Volumes Finitos para a solução numérica das equações governantes. Para os estudos foram simulados casos com diferentes condições operacionais (vazão de gás; intensidade de corrente elétrica; gases plasmogênicos: ar e argônio; intensidade de turbilhonamento). A fim de verificar a qualidade do modelo, alguns resultados foram comparados com a literatura e apresentaram boa concordância: a maior diferença obtida entre valores de temperatura experimentais e valores calculados foi -10%, e a média das diferenças obtidas nas comparações foi de aproximadamente ±3,2%. Os perfis de temperatura e de velocidade obtidos para a região do arco e para o jato de plasma resultante permitiram o estudo do comportamento do escoamento na tocha de plasma em diferentes condições. Conclui-se que o modelo desenvolvido é apto à realização de investigações numéricas do escoamento em tochas de plasma e dos efeitos do turbilhonamento na interação arco/escoamento. / This thesis presents a mathematical model for numerical simulation of swirling flow in DC non-transferred arc thermal plasma torches, as well as the results obtained from simulations to case studies. The two-dimensional magnetohydrodynamic model (MHD model) allowed simulate the interaction between the flow and the electric arc using an axisymmetric configuration, covering the following areas: gas inlet; inside the torch; free jet of plasma in the environment. The model was implemented in a computer code based on the Finite Volume Method (FVM) to enable the numerical solution of the governing equations. For the study, cases were simulated with different operating conditions (gas flow rate; electric current intensity; plasmogenic gases: air and argon; swirl intensity). In order to verify the quality of the model, some results were compared with the literature and showed good agreement: the biggest difference between experimental temperature values and calculated values was 10%, and the average of the differences obtained in the comparisons was approximately ±3.2%. The resulting profiles of temperature and velocity obtained for the region of the arc and the plasma jet allowed the study of the flow behavior in the plasma torch in different conditions. It is concluded that the model developed is able to carry out numerical investigations of the flow in plasma torches and the effects of swirl in the interaction arc/flow.

L'objectif de cette thèse est de mettre en œuvre une description multi-échelle adaptée aux écoulements de fluides dans des micro-/nano-conduites. Cette approche doit permettre de décrire, aussi bien les petites échelles relatives aux interactions du fluide avec les atomes du mur, que les grandes échelles de l’écoulement engendrées par les conditions aux limites d'entrée/sortie du canal. Pour cela, nous avons développé une méthode qui couple une modélisation continue des écoulements et des transferts de chaleur dans le cœur du canal avec une modélisation discrète proche des parois, basée sur une représentation atomistique du fluide et du mur.Les équations de Navier-Stokes et de l’énergie, couplées à une équation d’état, sont approximées par une méthode de volumes finis dans le cœur de l’écoulement alors que des simulations de dynamique moléculaire sont utilisées pour représenter finement les interactions entre le fluide et la paroi. Cette approche hybride nécessite la transmission d’informations entre les modélisations : les grandeurs moyennées moléculaires sont imposées comme conditions aux limites pour le modèle continu, et la dynamique sous contrainte, couplée à un thermostat de Langevin, est utilisée pour piloter l’échelle moléculaire. Une représentation par des plots moléculaires locaux de petite taille, intelligemment répartis le long de l’interface entre le fluide et le mur, permet de traiter des écoulements et des transferts dans des canaux de très grands allongements, pour des coûts de calcul raisonnables.Après une partie de validation, des simulations hybrides multi-échelles d’écoulements dans des canaux constitués de parois en platine ont été menées pour de l’argon en phase liquide (incompressible) ou gazeuse (compressible), en tenant compte éventuellement du changement de phase au voisinage de la paroi / The main objective of this thesis is to model the multi-scale heat and fluid flows in micro-/nano channels. This method must be able of capturing at the same time the fluid/solid interaction at the small scale but also the flows induced by the inlet/outlet boundary conditions at the large scale. To this aim, we have adopted an approach coupling the continuum model in the bulks of the channel and the discrete model at the vicinity of the wall, based on an atomistic representation of the fluid and the solid.The Navier-Stokes and energy equations, coupled with an equation of state, are approximated by a finite volume method and the molecular dynamics simulations are used to finely represent the interaction between the fluid and the solid. This hybrid method requires information transmission between the former two regions: averaged quantity in molecular dynamics simulations are imposed as boundary conditions for the continuous model and constrained dynamics, coupled with a thermostat Langevin, is used to control in the molecular level. A set of small molecular dynamics blocks, smartly distributed all along the wall/fluid interface, allows to treat flow and heat transfers in a long micro/nano-channel with a reasonable computational cost.After a validation step, the hybrid multi-scale simulations of complex fluid flows in the channel composed of the platinum wall have been conducted for argon in incompressible liquid or compressible gaseous phase with and without phase change in the vicinity of the wall

Dans le but d’améliorer le comportement thermo-mécanique des aubes de turbine présentes dans les moteurs d’avion développés par SAFRAN, il est nécessaire de mettre au point un nouveau matériau composite. Le procédé de fabrication de ce matériau est complexe et requiert une densification par voie liquide divisée en deux étapes. Cette thèse s’intéresse à la modélisation numérique de la première étape appelée Slurry Cast/APS.Celle-ci consiste en l’injection et le confinement, dans la préforme fibreuse, de particules préalablement mises en suspension. Pour cela, nous avons développé à l’échelle des fibres,un modèle qui utilise les équations de Navier-Stokes incompressibles et monophasiques ,l’équation de Phillips [Phillips et al., 1992] et une loi rhéologique [Krieger, 1972]. Après validation des résultats numériques par comparaison avec des résultats expérimentaux [Hampton et al., 1997] et théoriques [Belfort et al., 1994], le modèle est utilisé pour simuler l’écoulement autour de géométries de tissage proches du matériau étudié. / In order to improve thermo-mechanical behavior of tubine blades in SAFRAN engines plane, a new composite material is necessary. The manufacturing process to obtain this composite is intricate and requires a two steps fluid densification process. This thesis focuses on numerical simulation of the first one called Slurry Cats/APS. In this step, suspended particles are introducted and captured in the reinforcement. For that purpose,we carry out a model at fiber scale, using Navier-Stokes equations in incompressible and monophasic formulation, Phillips equations [Phillips et al., 1992] and a rheological law [Krieger, 1972]. After validation step consisting in a comparison of computational results with experiments [Hampton et al., 1997] and theorical law [Belfort et al., 1994], this model has been used to simulate flow around geometries similar to those encountered in our composite material.

Dans cette thèse, nous présentons une nouvelle approche pour la simulation numérique des phénomènes électroconvectifs et électro-therrno-convectifs. La principale difficulté réside dans la détermination du champ électrique et de la distribution de densité volurnique de charges électriques. Dans cette approche, des schémas de type TVD (Total Variation Dirninishing) et IDC (ImprovedDeferred Correction) sont utilisées dans la discrétisation des flux convectifs et diffusifs par la méthode des volumes finis. La première partie de cette thèse présente certains aspects numériques liés à l'implémentation de ces schémas. Une approche unifiée pour les schémas convectifs TVD de type borné à haute résolution est présentée et diverses fonctions limiteur sont comparées. Dans une deuxième partie, l'électro-convection entre deux plaques parallèles est simulée. La méthodologie a étéévaluée et validée par la détermination des Critères de stabilité linéaire et non linéaire. Les différents scenarii d'évolution du développement de cette instabilité électroconvective vers l'état chaotique ont été définis. L'effet du mécanisme de diffusion la densité volumique de charge sur la boucle d'hystérésis et sur la structure de l'écoulement est étudié. L'influence du rapport d'aspect de la cavité est analysé. Enfin dans une dernière partie, nous étudions l'électro-thermo-convection lorsque le fluide est soumis simultanément à une injection unipolaire et à un gradient thermique. L'augmentation des transferts de chaleur a été caractérisée. / In this thesis, a numerical approach is presented to simulate the electro- and electro-thermo convection in dielectric liquids. The total variation diminishing (TVD) scheme and improved deferred correction (IDC) scheme are used to compute the convective and diffusive respectively. The aim of TVD scheme is to avoid non-physical oscillations and to capture high gradient of charge density. Some fundarnental aspects related to TVD and LDC schemes are investigated firstly. A unified approach for TVD schemes is explained and various limiter functions are compared. The connection among three methods for diffusive flux computation has been revealed. The original IDC scheme is improved by the application of 2nd order gradient evaluation method.The electro-convection between two parallel plates is then simulated. The methodology was assessed by the determination of the linear and nonlinear stability criterion. By continuously increasing the driving parameter, the successive instabilities and route to chaotic state has been defined. The effects of the diffusion mechanism for the charge density and vertical walls on the hysteresis 100p and the structure are also investigated. The last part is to simuiate electro-thermo-convection when injection and thermal gradient are simultaneously applied. Our solver was verified with a stationary and an overstable stability problem.The case that both heating and injection are from a bottom electrode has been analyzed in details. The neutral stabiliïy curve was reproduced. The existence of nonlinear phenornenon and the structure are highlighted.

This thesis describes analysis and optimization of existing heating system aboveground fire sprinkler water tanks. The purpose is to design a heating system so as to achieve optimal operating and economic conditions for the operation of heating in winter. I will use available computer software and adhere to the applicable regulations and standards. Using experi-mental methods and computer simulations I will assess the current state of the heating system which in turn will provide an optimizing its use and operation.

Doctor of Philosophy / Department of Mechanical and Nuclear Engineering / Daniel V. Swenson / The objective of the thesis is to provide a fully coupled thermo-hydro-mechanical (THM) tool, T2STR, which enables quantitative understanding and prediction of thermal as well as mechanical effects on flow in the porous media under multiphase conditions. This is achieved by incorporating a finite element based hydro-thermo-mechanical stress capability into the well-established IFDM (Integrated Finite Difference Method) based flow simulation code TOUGH2. TOUGH2 is a program for calculation of multi-phase, multi-component, non-isothermal flow in porous media. It implements several equation of state modules to represent different fluid mixtures. The dual mesh technique is natural for combining both discretization methods and is used innovatively and effectively. A generalized approach is developed to accommodate the switching of variables implemented in TOUGH2 to adapt the phase changes. The forward coupling is achieved by using the thermal, hydrostatic, and poroelastic effects in the stress calculations. The backward coupling includes the effect of strain on the fluid flow. T2STR also allows the user to study the variation in porosity, permeability and capillary pressure as function of mean effective stress in the porous media. Multiple materials can be used to model the reservoir in T2STR, parallel to the implementation in TOUGH2. T2STR is implemented to carry out as a fully coupled, one way coupled (only deformation as function of hydro-thermal effects), or original TOUGH2 implementation. It provides the ability to switch on and off the thermal and/or poroelastic effects. T2STR is developed to model the fractured porous media using discrete fractures. The modeling of fractured porous media is limited to a staggered coupling approach. The fluid parameters like permeability, porosity are modified based on the stresses and/or aperture changes due to deformation. A set of verification problems, used to validate the code and display the capabilities of the code, are discussed. A graphical user interface is designed to pre-process the necessary data. Macros are developed for excel and Tecplot to post-process the results for easy visualization.

L’émergence de bruits auparavant inaudibles dans les réservoirs à carburants automobiles requiert des constructeurs une meilleure compréhension des phénomènes physiques intervenants au sein de leurs produits. Dans cette thèse, différents travaux ont été conduits autour de l’étude du ballottement de fluide dans une cuve rigide rectangulaire partiellement remplie de fluide et soumise à une excitation extérieure. La première partie présente un état de l’art sur le sloshing suivant trois approches complémentaires - approche analytique, approche numérique et approche expérimentale - permettant d’orienter les travaux. Dans une deuxième partie, une étude préliminaire sur le sloshing dans une cuve rectangulaire soumise à une excitation harmonique forcée est réalisée. La confrontation des résultats numériques entre une approche linéaire - basée sur la théorie d’écoulement potentiel tenant compte de la viscosité du fluide [Schotté et Ohayon, 2013] - et une approche non linéaire commerciale – basée sur la résolution des équations de Navier-Stokes - permet de définir un paramètre de linéarité. Ce dernier permet de déterminer les cas de sloshing qui nécessitent une résolution non linéaire et ceux pour lesquels la théorie linéaire suffit pour prédire le phénomène. La troisième partie de ce document présente une étude expérimentale du ballottement de fluide dans une cuve rectangulaire rigide soumise à un freinage automobile. Deux niveaux de remplissage créant deux types d’impacts contre les parois (avec et sans enfermement de poche d’air) ont été analysés. Les essais menés ont permis de mesurer les forces engendrées par le mouvement du fluide, les pressions d’impact en paroi ainsi que le champ de vitesse par méthode Particle Image Velocimetry (PIV). Ce chapitre constitue une importante base de données expérimentales ayant permis d’étudier précisément le phénomène physique. L’étude est complétée par une confrontation des résultats expérimentaux avec des résultats Computational Fluid Dynamics (CFD). Enfin, pour conclure ce mémoire, une étude du sloshing dans un réservoir en tenant compte de la Fluid-Structure Interaction (FSI) est présentée. Le choix du couplage a été porté sur un schéma partitionné itératif faible avec, dans un premier temps, une approche potentielle instationnaire, puis avec une approche Volume Of Fluid (VOF) pour la physique fluide. Les limites d’un tel couplage dans le cas d’étude d’un réservoir partiellement rempli de fluide et attaché de manière flexible en fonction du rapport de masse fluide-réservoir ont été mises en évidence. La correction du schéma de couplage par l’effet de masse ajoutée présentée dans [Song et al., 2013] permet la résolution d’un système couplé quel que soit le rapport de masse en jeu et améliore de manière significative la convergence en réduisant également fortement le temps de calcul. / The present thesis focuses on an investigation of the sloshing phenomenon in a partially filled fuel tank submitted to a harmonic excitation motion. In the first part, the confrontation of numerical results between a linear approach - taking into account viscosity - and a nonlinear approach based on a commercial code leads to define a parameter of linearity. This parameter allows determining cases of sloshing who require non-linear resolution and those who need a linear theory to predict the phenomenon. An experimental study of fluid sloshing in a rectangular tank submitted to an automotive braking is conducted. Tests leaded allow measuring global forces engendered by the motion of the fluid, pressure of fluid impact and velocity field by PIV. This chapter provides an important data base and helps to investigate on the physical phenomenon. This study is completed by CFD results. To conclude, a numerical model for fluid-structure interactions is presented. Limits of this segregated partitioned coupling in case of sloshing in tank flexibly attached are highlighted, depending mostly on the mass ratio between fluid and tank structure. An added-mass term is integrated to the corrected staggered scheme ensuring systematically the convergence of the coupled solution and reducing significantly the iterations required.

Dans ce travail, nous étudions un schéma élément fini que nous appliquons à un modèle décrivant l'intrusion saline dans les aquifères côtiers confinés et libres. Le modèle est basé sur l'approche hydraulique qui consiste à moyenner verticalement le problème initial 3D, cette approximation repose sur une hypothèse d'écoulement quasi-hydrostatique qui, loin des épontes et des sources, est vérifiée. Pour modéliser les interfaces entre l'eau douce et l'eau salée (respectivement entre la zone saturée et la zone sèche), nous combinons l'approche 'interface nette' à l'approche avec 'interface diffuse' ; cette approche est déduite de la théorie de champ de phase, introduite par Allen-Cahn, pour décrire les phénomènes de transition entre deux zones. Compte tenu de ces approximations, le problème consiste en un système fortement couplé d'edps quasi-linéaires de type parabolique dans le cas des aquifères libres décrivant l'évolution des profondeurs des 2 surfaces libres et de type elliptique-prabolique dans le cas des aquifères confinés, les inconnues étant alors la profondeur de l'interface eau salée/eau douce et la charge hydraulique de l'eau douce. Dans la première partie de la thèse, nous donnons dans le cas d'un aquifère confiné, des résultats d'estimation d'erreur d'un schéma semi-implicite en temps combiné à une discrétisation en espace de type élément fini Pk Lagrange. Ce résultat utilise entre autre un résultat de régularité du gradient de la solution exacte dans l'espace Lr(ΩT), r > 2, ce qui permet de traiter la non-linéarité et d'établir l'estimation d'erreur sous des hypothèses de régularité raisonnables de la solution exacte. Dans la seconde partie de la thèse, nous généralisons l'étude précédente au cas de l'aquifère libre. La difficulté principale est liée à la complexité du système d'edps paraboliques mais à nouveau, grâce au résultat de régularité Lr(ΩT), r > 2 établi pour les gradients des surfaces libres, nous montrons que le schéma est d'ordre 1 en temps et k en espace pour des solutions suffisamment régulières. Nous concluons ce travail par des simulations numériques dans différents contextes (impact de la porosité et de la conductivité hydraulique sur l'évolution de l'interface, pompage et injection d'eau douce, effet des marées) validant ainsi le modèle et le schéma. Puis nous comparons les résultats à ceux obtenus avec un schéma volume fini construit à partir d'un maillage structuré. / In this work, we study a finite element scheme we apply to a model describing saltwater intrusion into coastal aquifers confined and free. The model is based on the hydraulic approach of vertically averaging the 3D original problem, this approximation is based on a quasi-hydrostatic flow hypothesis which, instead of the walls and springs, is checked. To model the interface between freshwater and salt water (respectively between the saturated zone and dry zone), we combine the approach net interface (approach with the diffuse interface) ; This approach is derived from the phase field theory introduced by Allen-Cahn, to describe the phenomena of transition between two zones. Given these approximations, the problem consists of a strongly couple to edps parabolic quasi-linear system in the case of unconfined aquifers describing the evolution of the depths of two free surfaces and elliptical-parabolic type in the case confined aquifer, the unknowns being then the depth of salt water / fresh water and the hydraulic load of fresh water. In the first part of the thesis, we give in the case of a confined aquifer, error estimation results of a semi-implicit scheme in a combined time discretization space finite element type Pk Lagrange. This result among other uses a regularity result of the gradient of the exact solution in the space Lr(ΩT), r > 2, which can handle the non-linearity and to establish the error estimate under assumptions reasonable regularity of the exact solution. In the second part of the thesis, we generalize the previous study to the case of the free aquifer. The main difficulty is related to the complexity of the system of parabolic edps but again, thanks to regularity result Lr(ΩT), r > 2 gradients established for the free surfaces, we show that the scheme is of order 1 time and space k for sufficiently regular solutions. We conclude this work by numerical simulations in different contexts (impact of porosity and hydraulic conductivity of the evolution of the interface, and pumping fresh water injection, tidal effects) thus validating the model and diagram. The we compare the results with those obtained using a finite volume scheme constructed from a structured mesh.

Este trabalho tem como principal objetivo o desenvolvimento de um método numérico para simulação das grandes escalas de escoamentos turbulentos tridimensionais utilizando uma modelagem de turbulência baseada em filtragem temporal (denominada TLES - Temporal Large Eddy Simulation). O método desenvolvido combina discretizações temporais com ordem de mínima precisão 2 (Adams-Bashforth, QUICK, Runge-Kutta), um método de projeção de ordem 2, com discretizações espaciais também de ordem 2 obtidas pelo método de volumes finitos. Esta metodologia foi empregada na simulação de problemas teste turbulentos como o canal e a cavidade impulsionada, sendo este último resultado simulado pela primeira vez com modelagem TLES. Os resultados mostram uma excelente concordância quando comparado com resultados de simulações diretas (DNS) e dados experimentais, superando resultados clássicos obtidos com formulação LES com filtragem espacial. / The main objective of this work is to develop a numerical method for large eddy simulation of tridimensional turbulent flows using a model based on temporal filtering (TLES - Temporal Large Eddy Simulation). The developed method combines at least 2nd order temporal discretizations (Adams-Bashforth, QUICK, Runge-Kutta), a 2nd order projection method, and 2nd order spatial discretizations obtained by the finite volume method. This methodology was employed to the simulation of turbulent benchmark problems such as channel and lid-driven cavity flows. The latter is simulated for the first time using a TLES turbulence modelling. Results show excellent agreement when compared to Direct Numerical Simulations (DNS) and experimental data, with better results than classical results produced by standard LES formulation with spatial filtering.