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1
100%
EN
A k-ω based hybrid RANS/LES (Reynolds-averaged Navier-Stokes/large eddy simulation) model is tested for simulation of plane impinging jets at various nozzle-plate distances (H/B, where H is the distance and B is the slot's width) and various Reynolds numbers (based on the slot's width and the velocity in the symmetry plane). The studied combinations are H/B=2 for Re=10000, H/B=4 for Re=18000 and H/B=9.2 for Re=20000. The focus is on small distance of the nozzle exit to the plate. In LES mode, the hybrid RANS/LES model uses two definitions of the local grid size, one based on the maximum distance between the cell faces in the destruction term of the turbulent kinetic energy equation and one based on the cube root of the cell volume in the eddy-viscosity formula. This allows accounting for flow inhomogeneity on anisotropic grids. In RANS mode, the hybrid model turns into the newest version of the k-ω model by Wilcox.
2
Content available remote Turbulence, from stochastic to deterministic approach
100%
EN
The paper presents contemporary development in the field of deterministic description of turbulence with a special reference to Large Eddy Simulation (LES) methods. The limitations of conventional turbulence modelling based on stochastic methodology have been discussed and reasons for the development of deterministic approach have been outlined. It has been shown that the computational power of the fastest available computers restrict the possible DNS (Direct Numerical Simulation) solutions to the range of small reynolds numbers. Finally, the basic assumptions have been formulated for the LES formalism, that seem to offer the reasonable compromise between the tendency towards the deterministic solution of Navier-Stokes equations and the existing computational resources.
EN
Explicit filtering with a smooth shape is one of approaches adopted in large eddy simulations (LES). The present work investigates the application of an explicit high order smooth (HOS) filter for the LES of a fully developed turbulent channel flow. The Crank-Nicolson scheme for time marching and second-order finite-volume schemes for spatial derivatives were implemented in this investigation. Implicit filtering, together with the Smagorinsky sub-grid scale (SGS) model, and explicit filtering, along with a HOS filter were studied in a fully turbulent channel flow. In this study, explicit HOS filtering with an explicit filter width to grid size ratio of 2.0 was in agreement with the available direct numerical simulation (DNS) data. However, the mean velocity profile in the streamwise direction was underestimated, and the turbulence intensity in the streamwise direction improved compared to other directions. Moreover, turbulence stresses were well predicted using the mixed SGS and sub-filter stress (SFS) models and applying the HOS filter as an explicit filter.
PL
Jawne filtrowanie typu gładkiego jest jedną z metod stosowanych w symulacjach wielkowirowych (tzw. LES). W pracy opisano zastosowanie filtra wysokiego rzędu o charakterystyce gładkiej (HOS) do symulacji wielkowirowej w pełni rozwiniętego turbulentnego przepływu w kanale. W badaniach wykorzystano metodę Cranka-Nicolsona oraz techniki przyrostów czasowych i objętości skończonych drugiego rzędu do wyznaczania pochodnych zmiennych przestrzennych. Przeanalizowano filtrowanie niejawne łącznie z podsieciowym modelem skalowym Smagorynskiego (SGS) oraz filtrowanie jawne HOS w pełni turbulentnego przepływu w kanale. W badaniach wy- kazano, że filtrowanie jawne za pomocą filtra HOS, którego stosunek długości do rozmiaru siatki wynosił 2, dało zgodne wyniki z dostępnymi rezultatami bezpośrednich symulacji numerycznych (DNS). Nieco niedoszacowany okazał się średni profil prędkości w kierunku wzdłużnym przepływu, natomiast poprawiły się wyniki dotyczące intensywności turbulencji właśnie w tym kierunku w porównaniu do kierunków pozostałych. Zaobserwowano ponadto, że zastosowanie kombinacji SGS z użyciem modeli subfiltrów naprężeń (SFS) oraz HOS jako filtru jawnego pozwoliło na poprawne wyznaczenie wartości naprężeń turbulentnych.
EN
In this paper the large eddy simulation (LES) and conditional moment closure (CMC) combustion model have been applied for modelling of auto-ignition of hydrogen jet issuing into a hot ambient co-flow. Most of the attention was devoted to modelling aspects of the conditional scalar dissipation rate which is a key quantity of the CMC model. Two models are compared with emphasis on differences in distributions in mixture fraction space. Analysis of mutual relations between the terms of CMC equations confirms importance of the conditional scalar dissipation rate. It is also shown that model constants are crucial from the point of view of an auto-ignition location and a flame lift off height. The numerical results are compared with experimental data and both the mean and the root mean square fluctuating values of the temperature and species mass fraction agree well with measurements.
5
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EN
The Eulerian-Lagrangian approach has been applied to two-phase turbulent flows with dispersed heavy particles. First, numerical computations of the continuous phase (fluid) have been performed using the Direct Numerical Simulations (DNS) and Large-Eddy Simulations (LES) for the case of a fully-developed channel flow. Parallelisation efficiency of flow and particle solvers has been estimated. Residual turbulent kinetic energy has been found from filtered DNS (also called a priori LES); a model for this quantity has been assessed. Then, heavy particles have been tracked in the LES velocity field. Statistics of particle motion (mean velocity, intensity of velocity fluctuations) and the profile of cross-stream number density as well as preliminary results for particle wall deposition have been obtained.
PL
W pracy zastosowano podejście Eulera-Lagrange'a do wyznaczenia ruchu fazy dyspersyjnej (cząstki, krople) w turbulentnym przepływie dwufazowym. Obliczenia ruchu fazy ciągłej (płynu) przeprowadzono za pomocą rozwiązania pełnych równań przepływu (DNS) oraz przy użyciu metody dużych wirów (LES) dla przypadku rozwiniętego przepływu w kanale płaskim. Oszacowano efektywność zrównoleglenia obliczeń numerycznych. Określono poziom energii kinetycznej skal podsiatkowych; porównano ją z wynikami uzyskanymi z modelu dynamicznego. Wyznaczono trajektorie cząstek fazy dyspersyjnej w polu prędkości LES. Określono statystyki ich ruchu: prędkość średnią, intensywność fluktuacji prędkości, profil koncentracji cząstek w poprzek kanału; uzyskano wstępne wyniki dla separacji cząstek na ściankach.
6
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EN
The paper is devoted to parallel implementation of a compact discretization scheme com-bined with the Fourier pseudospectral method. The idle time of processors resulting from the method of computating derivatives using compact schemes is eliminated by proper ordering of subtasks and by performing useful computations when processors are waiting for data from their neighbors. The correctnes of the algorithm is confirmed by comparison of results of LES simulations with DNS data for flow in a 3D channel with periodic non-slip wall boundary conditions.
EN
Turbulent open-channel flow over 2D roughness elements is investigated numerically by Large Eddy Simulation (LES). The flow over square bars for two roughness regimes (k-type roughness and transitional roughness between d-type and k-type) at a relative submergence of H/k = 6.5 is considered, where H is the maximum water depth and k is the roughness height. The selected roughness configurations are based on laboratory experiments, which are used for validating numerical simulations. Results from the LES, in turn, complement the experiments in order to investigate the time-averaged flow properties at much higher spatial resolution. The concept of the double-averaging (DA) of the governing equations is utilized to quantify roughness effects at a range of flow properties. Double-averaged velocity profiles are analysed and the applicability of the logarithmic law for rough-wall flows of intermediate submergence is evaluated. Momentum flux components are quantified and roughness effect on their vertical distribution is assessed using an integral form of the DA-equations. The relative contributions of pressure drag and viscous friction to the overall bed shear stress are also reported.
8
Content available remote Modelling of a passive autocatalytic hydrogen recombiner – a parametric study
88%
Nukleonika
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2015
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tom 60
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nr 1
161-169
EN
Operation of a passive autocatalytic hydrogen recombiner (PAR) has been investigated by means of computational fluid dynamics methods (CFD). The recombiner is a self-active and self-adaptive device used to remove hydrogen from safety containments of light water nuclear reactors (LWR) by means of a highly exothermic reaction with oxygen at the surface of a platinum or palladium catalyst. Different turbulence models (k-ω, k-ɛ, intermittency, RSM) were applied in numerical simulations of: gas flow, heat and mass transport and chemical surface reactions occurring in PAR. Turbulence was found to improve mixing and mass transfer and increase hydrogen recombination rate for high gas flow rates. At low gas flow rates, simulation results converged to those obtained for the limiting case of laminar flow. The large eddy simulation technique (LES) was used to select the best RANS (Reynolds average stress) model. Comparison of simulation results obtained for two- and three-dimensional computational grids showed that heat and mass transfer occurring in PAR were virtually two-dimensional processes. The effect of hydrogen thermal diffusion was also discussed in the context of possible hydrogen ignition inside the recombiner.
EN
In this paper, the Large Eddy Simulation (LES) together with the Conditional Moment Closure (CMC) and flamelet combustion models have been applied for modelling of methane flame Sandia F. In the case of the CMC model, both instantaneous and time averaged values predicted numerically agree well with measurements. Attention was devoted to modelling aspects of the conditional scalar dissipation rate (SDR), which is a key quantity of the CMC approach. The two methods of computing SDR are compared with emphasis on a correct prediction of localised extinctions and on their influence on the mean values. It was found that the method of modelling of SDR has rather minor impact on the instantaneous values, whereas larger differences were observed in statistics. In the case of the flamelet model, although it is not able to predict extinctions and re-ignition, the mean values were in good agreement with the experiment.
10
88%
EN
This study focuses on TLES (Thermal Large Eddy Simulation). We study the influence of thermal boundary conditions on mean and fluctuating profiles for a turbulent bi-periodic channel with a thermal gradient. TLES simulations show that mean profiles of longitudinal velocity, transversal velocities and their fluctuations are not affected by the therm 1 boundary conditions (flux or temperature imposed at wall). Profiles of mean temperature and mean vertical velocity are slightly changed by the thermal boundary conditions. The thermal gradient at wall is stronger and temperature slope in the middle of channel is lower with imposed temperature boundary conditions. Although there are the same in the middle of the channel, temperature fluctuations profiles are very different near to the wall according to thermal boundary conditions. In fact, with flux boundary conditions, the temperature fluctuation profile is similar close to the wall than in the middle of channel; with imposed temperature boundary conditions, theses profiles tend to zero close to the wall. This result is very important for industrial process because thermal fatigue due to thermal fluctuations at wall can damage it.
EN
Operation of a passive autocatalytic hydrogen recombiner (PAR) has been investigated by means of computational fluid dynamics methods (CFD). The recombiner is a self-active and self-adaptive device used to remove hydrogen from safety containments of light water nuclear reactors (LWR) by means of a highly exothermic reaction with oxygen at the surface of a platinum or palladium catalyst. Different turbulence models (k-ω, k-ε, intermittency, RSM) were applied in numerical simulations of : gas flow, heat and mass transport and chemical surface reactions occurring in PAR. Turbulence was found to improve mixing and mass transfer and increase hydrogen recombination rate for high gas flow rates. At low gas flow rates, simulation results converged to those obtained for the limiting case of laminar flow. The large eddy simulation technique (LES) was used to select the best RANS (Reynolds average stress) model. Comparison of simulation results obtained for two- and three-dimensional computational grids showed that heat and mass transfer occurring in PAR were virtually two-dimensional processes. The effect of hydrogen thermal diffusion was also discussed in the context of possible hydrogen ignition inside the recombiner.
EN
A hybrid artificial boundary condition (HABC) that combines the volume-based acoustic damping layer (ADL) and the local face-based characteristic boundary condition (CBC) is presented to enhance the absorption of acoustic waves near the computational boundaries. This method is applied to the prediction of aerodynamic noise from a circular cylinder immersed in uniform compressible viscous flow. Different ADLs are designed to assess their effectiveness whereby the effect of the mesh-stretch direction on wave absorption in the ADL is analysed. Large eddy simulation (LES) and FW-H acoustic analogy method are implemented to predict the far-field noise, and the sensitivities of each approach to the HABC are compared. In the LES computed propagation field of the fluctuation pressure and the frequency-domain results, the spurious reflections at edges are found to be significantly eliminated by the HABC through the effective dissipation of incident waves along the wave-front direction in the ADL. Thereby, the LES results are found to be in a good agreement with the acoustic pressure predicted using FW-H method, which is observed to be just affected slightly by reflected waves.
EN
In the present work, the large eddy simulation (LES) has been used to simulate a single fuel jet reacting flow under the conditions of highly preheated and diluted air combustion (HPDAC). A hybrid procedure of the standard subgrid scale (SGS) magorinky-Lille model and Reynolds stress model (RSM) together with the finite rate/eddy dissipation reaction model has been employed to simulate a single wall jet HPDAC furnace chamber. The propane-air two-step combustion system is selected for modeling under two different HPDAC inlet air conditions corresponding to 3% w/w oxygen at 1300K and 21% w/w oxygen at 1300K. The numerical results show that the standart Smagorinsky model and Reynolds stress model together with the finite rate/eddy disspation model are capable of predicting the global flame effects on the flow, such as flow velocities, mixing patterns, temperatures and turbulent parameters. The predictions are found in acceptable agreement with the corresponding results of in-furnace measurements and physical modeling. By compared with the pure Reynolds stress model, it is found that the differences between the two predictions of LES and RSM are insignificant in the near field of the flow. The Smagorinsky constant C, has been also tuned in the work. It illustrates that Cs value significantly influences the predictions on both near field and far of the jet flow. Though, further development of SGS stress and combustion models is needed, it is found that LES is an attratctive tool to simulate the dynamic processes of turbulent reacting flows for the HPDAC furnaces.
14
75%
EN
The paper proposes model for large eddy simulation (LES) of pulverized coal gasification by low temperature plasma. Due to great demand for computational resources by LES, simplified model of real plasma burner (installed at 210 MW boiler unit of TPP Nikola Tesla, Serbia) is investigated. Air-coal mixture flow through rectangular channel is simulated using LES method with Smagorinsky SGS model. Spatial discretization procedure preserves symmetry properties of underlying differential operators, while integration in time is performed by modified leapfrog scheme. Mass load of coal particles is 0,2 and uniform particles size is assumed. Plasma flame is taken into account as high-temperature heat source mounted at the channel's side wall. Particles motion is simulated using Lagrangian method, where every particle in the flow is tracked. Physical models are presented for coal devolatilisation, volatiles combustion (fast chemistry model, which is acceptable for high Damkohler number) and char burnout. LES code for two­phase particulate flow is developed and results for turbulent non-reactive channel flow are presented. These results will be used as starting point for coal gasification simulation.
PL
Praca przedstawia wpływ parametrów procesowych na przebieg procesu precypitacji w reaktorach zderzeniowych. Do rozważań wybrano dwa procesy: testowy, powstawania kryształów siarczanu barn oraz o charakterze praktycznym, produkcja kryształów disiarczku molibdenu. Wyniki doświadczalne porównano z wynikami symulacji przy użyciu obliczeniowej mechaniki płynów z wykorzystaniem modeli wielkowirowych.
EN
Influence of process parameters on precipitation process in jet reactors is presented in the paper. Two processes were considered: test, barium sulphate crystallization and production of molybdenum disulfide crystals of practical character. The experimental results were compared with simulations using computational fluid mechanics especially large eddy simulation models.
17
Content available remote Numerical modelling of metallurgical processes using LES
75%
EN
Comprehensive knowledge of the heat and mass transfer processes in the melt of induction furnaces is required to realize efficient and reliable melting and casting processes. Experimental and numerical studies of the melt flow in induction furnaces show that the flow pattern, which comprise several vortexes of the mean flow, and the temperature distribution in the melt are significantly influenced by low-frequency large scale flow oscillations. The experimental and numerical investigations of the turbulent melt flow are carried out in various laboratory and industrial sized induction furnaces, like induction crucible furnace and induction furnace with cold crucible. Two-and three-dimensional hydrodynamic calculations of the melt flow, using two-equation turbulence models based on Reynolds Averaged Navier-Stokes approach, do not predict the large scale periodic flow instabilities obtained from the experimental data. That's why the Large Eddy Simulation (LES) numerical technique, which is considered to be some kind of compromise between the k-epsilon model with relative low mesh quality requirements and Direct Numerical Simulation (DNS) method based on non-averaged Navier-Stokes equations, was approved to be an alternative for the various k-epsilon model modifications. The results of the transient 3D LES simulation of the turbulent melt flow revealed the large scale periodic flow instabilities and the temperature distribution in the melt, which both are in good agreement with the expectations based on the data from the experiments. In order to investigate convective scalar transport mechanism in the considered flow the discrete particle tracing approach has been carried out. The studies, presented in this paper, content the numerical simulation of turbulent melt flow of experimental and industrial size induction furnaces and demonstrate the possibility of using the three-dimensional transient LES approach for successful simulation of heat and mass transfer processes in metallurgical applications.
PL
Pełna wiedza na temat wymiany ciepła i masy w trakcie topienia metali w piecach indukcyjnych jest niezbędna do uzyskania efektywności i niezawodnego przebiegu procesów topienia i odlewania metali. Analiza numeryczna i badania doświadczalne ruchu metalu w piecu indukcyjnym pokazują, że model ruchu metalu uwzględniający szereg wirów głównego przepływu oraz rozkład temperatury w w kąpieli metalowej są silnie uzależnione od oscylacji przepływu o małej częstotliwości. Badania doświadczalne i numeryczne turbulentnego ruchu metalu zostały przeprowadzone w różnych laboratoryjnych i przemysłowych piecach indukcyjnych takich jak: klasyczne piece indukcyjne tyglowe, piece indukcyjne z zimnym tyglem. Dwuwymiarowe i trójwymiarowe obliczenia hydrodynamiczne ruchu metalu uzyskane przy wykorzystaniu modelu turbulencji składającego się z dwóch równań opartych na zmodyfikowanej metodzie Naviera-Stokesa nie pozwalają przewidzieć dużych niestabilności przepływu uzyskiwanych podczas badań doświadczalnych. Z tego powodu technika numeryczna LES, która jest swego rodzaju kompromisem pomiędzy modelem k-epsilon ze stosunkowo niewielkimi wymaganiami co do gęstości siatki a modelem DNS opartym o równania Naviera- Stokesa została wykorzystana jako metoda alternatywna do obliczeń różnych modyfikacji modelu k-epsilon. Wyniki trójwymiarowej symulacji turbulentnego ruchu metalu uzyskane metoda LES ujawniają duże okresowe niestabilności przepływu. Pozwalają także wyznaczyć rozkład temperatury w metalu. W obu przypadkach osiągnięto zadowalającą zbieżność wyników obliczeń i pomiarów. Aby zbadać mechanizm transportu konwekcyjnego w rozpatrywanym przepływie wprowadzono metodykę trasy pojedynczej cząsteczki. Badania przedstawione w pracy obejmują symulację numeryczną na stanowiskach doświadczalnych i przemysłowych z piecami indukcyjnymi oraz pokazują możliwość wykorzystania metody LES do symulacji procesów wymiany ciepła i masy w zastosowaniach metalurgicznych.
EN
In the present work, an approach to obtain a design method for the size of the plenum chamber cross-section of a marine gas turbine air supply system has been investigated. Flow in ducts makes noise which is very high in the turbine inlet part because of the large amount of flow. Therefore, this phenomenon should be considered in the design process. A suitable approach to design the duct is proposed (considering acoustic and aerodynamic performance at the same time). In this method, an air supply channel system of the marine gas turbine has been categorized into three sections according to the requirements of the aerodynamic and acoustic; inlet, plenum chamber, and outlet channels with circular cross-sections. The geometrical dimensions of inlet and outlet channels have been determined using the plane waves theory about a channel, in which the effects of flow is ignored. Space limitations of battleships at the dominant frequency have been considered. Then, the optimized size of the mid-channel section, in terms of both aerodynamic and acoustic requirements, using numerical methods and regarding the effects of flow has been calculated. Various 3D turbulent flows inside the plenum chamber have been considered, in which large eddy simulation turbulence model is utilized. Ffowcs, Williams and Hawkings models are used for the sound propagation process based on the Lighthill integral equation. The validity of the simulation has been checked by comparing results (sound pressure level) with experimental data obtained from a chamber. The comparison revealed the acceptable errors for a variety of frequencies. The results disclosed that the performance of channel system aerodynamic decreased when the fraction of plenum chamber cross-section to inlet/outlet channel cross-section increased. With an increase in the cross-section size at first Acoustic performance is improved and then worsen. Six different cases of marine gas turbine air supply system configurations have been presented, in which the limitation of the battleship space is considered. Examining and comparing the acoustic performance of different cases of the air supply channel system, it was found that the amount of sound pressure level, around the air supply channel system, and the high-pressure sound area can move along the air supply channel system. Additionally, deviations from plane waves considering the effects of flow have been inspected in all cases. The reason for this deviation is the effects of the airflow through the channel system and quadrupole sources in the production of sound in the channel system, which causes higher modes.
EN
The large eddy simulation method, based on a lattice-Boltzmann algorithm, was used to compute the vertical velocity profile in an open channel flow with submerged and emerged vegetation. The numerical method is characterized by the relatively short time of computation and low complexity. On the other hand, it allows a more realistic description of the vegetation properties relative to the methods commonly used in 1-D numerical models. For the proper conditions, the method developed in this work gives results similar to other numerical methods. These results are also in good agreement with the experimental data presented in other papers.
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