Relevant bibliographies by topics / Numerical entropy production

Academic literature on the topic 'Numerical entropy production'

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Published: 10 December 2022
Last updated: 28 January 2023

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Journal articles on the topic "Numerical entropy production"

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Puppo, Gabriella. "Numerical Entropy Production for Central Schemes." SIAM Journal on Scientific Computing 25, no. 4 (January 2004): 1382–415. http://dx.doi.org/10.1137/s1064827502386712.

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Mungkasi, Sudi, and Stephen Gwyn Roberts. "Numerical entropy production for shallow water flows." ANZIAM Journal 51 (April 9, 2011): 1. http://dx.doi.org/10.21914/anziamj.v52i0.3786.

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MUNGKASI, SUDI, and STEPHEN GWYN ROBERTS. "NUMERICAL ENTROPY PRODUCTION AS SMOOTHNESS INDICATOR FOR SHALLOW WATER EQUATIONS." ANZIAM Journal 61, no. 4 (October 2019): 398–415. http://dx.doi.org/10.1017/s1446181119000154.

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The numerical entropy production (NEP) for shallow water equations (SWE) is discussed and implemented as a smoothness indicator. We consider SWE in three different dimensions, namely, one-dimensional, one-and-a-half-dimensional, and two-dimensional SWE. An existing numerical entropy scheme is reviewed and an alternative scheme is provided. We prove the properties of these two numerical entropy schemes relating to the entropy steady state and consistency with the entropy equality on smooth regions. Simulation results show that both schemes produce NEP with the same behaviour for detecting discontinuities of solutions and perform similarly as smoothness indicators. An implementation of the NEP for an adaptive numerical method is also demonstrated.
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Mungkasi, Sudi, and Stephen Gwyn Roberts. "Numerical entropy production as smoothness indicator for shallow water equations." ANZIAM Journal 61 (May 6, 2020): 398–415. http://dx.doi.org/10.21914/anziamj.v61i0.14423.

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The numerical entropy production (NEP) for shallow water equations (SWE) is discussed and implemented as a smoothness indicator. We consider SWE in three different dimensions, namely, one-dimensional, one-and-a-half-dimensional, and two-dimensional SWE. An existing numerical entropy scheme is reviewed and an alternative scheme is provided. We prove the properties of these two numerical entropy schemes relating to the entropy steady state and consistency with the entropy equality on smooth regions. Simulation results show that both schemes produce NEP with the same behaviour for detecting discontinuities of solutions and perform similarly as smoothness indicators. An implementation of the NEP for an adaptive numerical method is also demonstrated. doi:10.1017/S1446181119000154
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Hou, Hucan, Yongxue Zhang, and Zhenlin Li. "A numerically research on energy loss evaluation in a centrifugal pump system based on local entropy production method." Thermal Science 21, no. 3 (2017): 1287–99. http://dx.doi.org/10.2298/tsci150702143h.

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Inspired by wide application of the second law of thermodynamics to flow and heat transfer devices, local entropy production analysis method was creatively introduced into energy assessment system of centrifugal water pump. Based on Reynolds stress turbulent model and energy equation model, the steady numerical simulation of the whole flow passage of one IS centrifugal pump was carried out. The local entropy production terms were calculated by user defined functions, mainly including wall entropy production, turbulent entropy production, and viscous entropy production. The numerical results indicated that the irreversible energy loss calculated by the local entropy production method agreed well with that calculated by the traditional method but with some deviations which were probably caused by high rotatability and high curvature of impeller and volute. The wall entropy production and turbulent entropy production took up large part of the whole entropy production about 48.61% and 47.91%, respectively, which indicated that wall friction and turbulent fluctuation were the major factors in affecting irreversible energy loss. Meanwhile, the entropy production rate distribution was discussed and compared with turbulent kinetic energy dissipation rate distribution, it showed that turbulent entropy production rate increased sharply at the near wall regions and both distributed more uniformly. The blade region in leading edge near suction side, trailing edge and volute tongue were the main regions to generate irreversible exergy loss. This research broadens a completely new view in evaluating energy loss and further optimizes pump using entropy production minimization.
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Golay, Frédéric. "Numerical entropy production and error indicator for compressible flows." Comptes Rendus Mécanique 337, no. 4 (April 2009): 233–37. http://dx.doi.org/10.1016/j.crme.2009.04.004.

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Mungkasi, Sudi. "An Accurate Smoothness Indicator for Shallow Water Flows along Channels with Varying Width." Applied Mechanics and Materials 771 (July 2015): 157–60. http://dx.doi.org/10.4028/www.scientific.net/amm.771.157.

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We extend the application of numerical entropy production, as a smoothness indicator, from conservation laws to balance laws. We aim to indicate the smoothness of solutions to the shallow water equations involving varying width, which are a system of balance laws. The numerical entropy production appears to be accurate to detect discontinuities. As a numerical test, a radial dam break is considered. We assume that there is a higher level of water inside a radial dam than water outside the dam wall. If the radial dam is totally broken, then water flows from inside to outside. The flow results in a solution having shock discontinuities. Finding the positions of the discontinuities is our interest. They are the positions where numerical solutions, such as those generated by a finite volume method, decrease their accuracy. Detecting the position of the discontinuity can help in the improvement of the numerical solution in terms of its accuracy. We obtain that the numerical entropy production is simple to implement but give an accurate detection. The discontinuity of the stage (free water surface) is clearly detected by large values of the numerical entropy production as the smoothness indicator.
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Brohi, Ali, Haochun Zhang, Kossi Min-Dianey, Muhammad Rafique, Muhammad Hassan, and Saadullah Farooqi. "Validation of accuracy and stability of numerical simulation for 2-D heat transfer system by an entropy production approach." Thermal Science 21, suppl. 1 (2017): 97–104. http://dx.doi.org/10.2298/tsci17s1097b.

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The entropy production in 2-D heat transfer system has been analyzed systematically by using the finite volume method, to develop new criteria for the numerical simulation in case of multidimensional systems, with the aid of the CFD codes. The steady-state heat conduction problem has been investigated for entropy production, and the entropy production profile has been calculated based upon the current approach. From results for 2-D heat conduction, it can be found that the stability of entropy production profile exhibits a better agreement with the exact solution accordingly, and the current approach is effective for measuring the accuracy and stability of numerical simulations for heat transfer problems.
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Masyagin, Victor Fedorovich, Ruslan Viktorovich Zhalnin, Marina Eugenievna Ladonkina, Olga Nikolaevna Terekhina, and Vladimir Fedorovich Tishkin. "Application of the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method." Keldysh Institute Preprints, no. 7 (2021): 1–18. http://dx.doi.org/10.20948/prepr-2021-7.

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The paper presents the entropic slope limiter for solving gas dynamics equations using the implicit scheme of the discontinuous Galerkin method. It guarantees monotonicity of the numerical solution, non-negativity of pressure and entropy production for each finite element. The numerical method has been successfully verified using some well-known model gas-dynamic problems.
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Adeyinka, O. B., and G. F. Naterer. "Modeling of Entropy Production in Turbulent Flows." Journal of Fluids Engineering 126, no. 6 (November 1, 2004): 893–99. http://dx.doi.org/10.1115/1.1845551.

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This article presents new modeling of turbulence correlations in the entropy transport equation for viscous, incompressible flows. An explicit entropy equation of state is developed for gases with the ideal gas law, while entropy transport equations are derived for both gases and liquids. The formulation specifically considers incompressible forced convection problems without a buoyancy term in the y-momentum equation, as density variations are neglected. Reynolds averaging techniques are applied to the turbulence closure of fluctuating temperature and entropy fields. The problem of rigorously expressing the mean entropy production in terms of other mean flow quantities is addressed. The validity of the newly developed formulation is assessed using direct numerical simulation data and empirical relations for the friction factor. Also, the dissipation (ε) of turbulent kinetic energy is formulated in terms of the Second Law. In contrast to the conventional ε equation modeling, this article proposes an alternative method by utilizing both transport and positive definite forms of the entropy production equation.
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Dissertations / Theses on the topic "Numerical entropy production"

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Einav, Amit. "Two problems in mathematical physics: Villani's conjecture and trace inequality for the fractional Laplacian." Diss., Georgia Institute of Technology, 2011. http://hdl.handle.net/1853/42788.

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The presented work deals with two distinct problems in the field of Mathematical Physics. The first part is dedicated to an 'almost' solution of Villani's conjecture, a known conjecture related to a Statistical Mechanics model invented by Kac in 1956, giving a rigorous explanation of some simple cases of the Boltzmann equation. In 2003 Villani conjectured that the time it will take the system of particles in Kac's model to equilibrate is proportional to the number of particles in the system. Our main result in this part is a proof, up to an epsilon, of that conjecture, showing that for all practical purposes we can consider it to be true. The second part of the presentation is based on a joint work with Prof. Michael Loss and is dedicated to a newly developed trace inequality for the fractional Laplacian, connecting between the fractional Laplacian of a function and its restriction to intersection of hyperplanes. The newly found inequality is sharp and the functions that attain equality in it are completely classified.
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Mungkasi, Sudi. "A study of well-balanced finite volume methods and refinement indicators for the shallow water equations." Phd thesis, 2012. http://hdl.handle.net/1885/10301.

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This thesis studies solutions to the shallow water equations analytically and numerically. The study is separated into three parts. The first part is about well-balanced finite volume methods to solve steady and unsteady state problems. A method is said to be well-balanced if it preserves an unperturbed steady state at the discrete level. We implement hydrostatic reconstructions for the well-balanced methods with respect to the steady state of a lake at rest. Four combinations of quantity reconstructions are tested. Our results indicate an appropriate combination of quantity reconstructions for dealing with steady and unsteady state problems. The second part presents some new analytical solutions to debris avalanche problems and reviews the implicit Carrier-Greenspan periodic solution for flows on a sloping beach. The analytical solutions to debris avalanche problems are derived using characteristics and a variable transformation technique. The analytical solutions are used as benchmarks to test the performance of numerical solutions. For the Carrier-Greenspan periodic solution, we show that the linear approximation of the Carrier-Greenspan periodic solution may result in large errors in some cases. If an explicit approximation of the Carrier-Greenspan periodic solution is needed, higher order approximations should be considered. We propose second order approximations of the Carrier-Greenspan periodic solution and present a way to get higher order approximations. The third part discusses refinement indicators used in adaptive finite volume methods to detect smooth and nonsmooth regions. In the adaptive finite volume methods, smooth regions are coarsened to reduce the computational costs and nonsmooth regions are refined to get more accurate solutions. We consider the numerical entropy production and weak local residuals as refinement indicators. Regarding the numerical entropy production, our work is the first to implement the numerical entropy production as a refinement indicator into adaptive finite volume methods used to solve the shallow water equations. Regarding weak local residuals, we propose formulations to compute weak local residuals on nonuniform meshes. Our numerical experiments show that both the numerical entropy production and weak local residuals are successful as refinement indicators.
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Book chapters on the topic "Numerical entropy production"

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Baldovin, Fulvio. "Numerical Analysis of Conservative Maps: A Possible Foundation of Nonextensive Phenomena." In Nonextensive Entropy. Oxford University Press, 2004. http://dx.doi.org/10.1093/oso/9780195159769.003.0010.

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We discuss the sensitivity to initial conditions and the entropy production of low-dimensional conservative maps, focusing on situations where the phase space presents complex (fractal-like) structures. We analyze numerically the standard map as a specific example and we observe a scenario that presents appealing analogies with anomalies detected in long-range Hamiltonian systems. We see how the Tsallis nonextensive formalism handles this situation both from a dynamical and from a statistical mechanics point of view…. In recent years, the Tsallis extension of the Boltzmann-Gibbs (BG) statistical mechanics [9, 26], usually referred to as nonextensive (NE) statistical mechanics, has become an intense and exciting research area (see, e.g., Tsallis [25]). The q-exponential distribution functions that emerge as a consequence of the NE formalism have been applied to an impressive variety of problems, ranging from turbulence, to high-energy physics, epilepsy, protein folding, and financial analysis. Yet, the foundation of this formalism, as well as the definition of its area of applicability, is still not completely understood, and it stands as a present challenge in the affirmation of the whole proposal. An intensive effort is currently being made to investigate this point, precisely in trying to understand: (1) which mechanisms lead to a crisis of the BG formalism; and (2) in these cases, does the NE formalism provide a "way out" to some of the problems? A possible approach to these questions comes from the study of the underlying dynamics that gives the basis for a statistical mechanic treatment of the system. This idea is not new. Einstein, in his critical remark about the validity of the Boltzmann principle [10], was one of the first to call attention to the relevance of a dynamical foundation of statistical mechanics. Another fundamental contribution is Krylov's seminal work [14] on the mixing properties of dynamical systems. In one-dimensional (dissipative) systems, intensive effort has been made to analyze the properties of the systems at the edge of chaos, i.e., at the critical poin that marks the transition between chaoticity and regularity [6, 8, 16, 19, 18, 23, 27].
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Assan, Never. "Goat - a Sustainable and Holistic Approach in Addressing Triple Challenges of Gender Inequality, Climate Change Effects, Food and Nutrition Insecurity in Rural Communities of Sub Saharan Africa." In Goat Science - Environment, Health and Economy [Working Title]. IntechOpen, 2021. http://dx.doi.org/10.5772/intechopen.96408.

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Goat-centered approach can transform rural agrarian households and communities toward gender inclusive climate change adaptation in agriculture to enhance food security and nutrition in Sub Saharan Africa. Gender inequality, climate change effect and food and nutrition insecurity are the most defining and deeply intertwined socio-economic and environmental challenges in rural communities in sub Saharan Africa. This chapter offers an overview of potentiality of goat rearing as a sustainable and holistic approach in addressing triple challenges of gender inequality, climate change effects and food and nutrition insecurity in rural communities. The failure to address gender inequality and deal with the climate change effect has thrown the Sub-Saharan Africa into a state of perpetual food scarcity due to compromised food production, consequently condemning the rural communities and its people to extreme poverty and nutrition insecurity. Because of this scenario, a number of both internal and external development agencies, have put several measures in place to alleviate the situation, which has for long preyed upon the region and continues to frustrate food stability in the region. The total failure of the previous autonomously attempt to address the triple challenges of gender inequality, climate change effects and food and nutrition insecurity at the household level give ground to prominence on the endorsement of more sustainable and multifaceted approaches. A proposition is made that goat rearing is one such initiative, which combines the empowerment of women in agriculture to ensure availability of the basic food needs of the household, while sustaining animal production due to goat’s adaptability to the climate induced harsh environmental conditions. The goat centered multifactorial approach to address the triple challenges is focused on the exploitation of the interlinkages among these socio-economic and environmental ills. The major assumption is that goat rearing in rural economies simultaneously curtails the risk of food and nutrition insecurity by acting as an entry point of gender equality, while leveraging on the opportunities that goat rearing will effectively offset adversities posed by the climate change effect. In most instances, women are potentially more vulnerable compared to men as they directly experience the ponderous effects of climate change in agricultural production, in turn compromising food and nutrition security. Goat rearing is central in the removal of systemic barriers that hold women back from equal participation in agriculture, by broadening their socio-economic opportunities, hence, playing a significant role in agricultural value-chains. The goat-rearing sustainability concept is based on establishing and maintaining the circumstances under which people and nature can subsist in productive harmony, that allow fulfilling the social, economic, and other requirements of present and future generations. Despite the climate change adverse effects, the goat population has continued to proliferate in harshest agro-ecological regions, which demonstrate that goats have managed to adapt to the current unfriendly climate induced environmental conditions. It is assumed that promoting goat rearing will narrow the gender equality gap between men and women, and enhance the participation of women in agriculture, hence, improving productivity, and food and nutrition security. Goats due to their numerical population advantage and deeply embedment in rural communities have constantly contributed to rural poor resource farmers’ livelihoods in many ways, and their contributions tend to be significant. This chapter offers an overview of potentiality of goat rearing as a sustainable and holistic approach in addressing triple challenges of gender inequality, climate change effects and food insecurity in rural communities of Sub Saharan Africa.
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Conference papers on the topic "Numerical entropy production"

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Ogban, Peter U., and Greg F. Naterer. "Apparent Entropy Production Difference for Numerical Error Characterization." In AIAA Scitech 2020 Forum. Reston, Virginia: American Institute of Aeronautics and Astronautics, 2020. http://dx.doi.org/10.2514/6.2020-0985.

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Baltazar-Larios, Fernando, and Pablo Padilla Longoria. "A minimum-entropy-production criterion to compare credit risk models." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756572.

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Adeyinka, Olusola, and Greg Naterer. "Numerical and Experimental PIV/PLIF Studies of Entropy Production in Natural Convection." In 42nd AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2004. http://dx.doi.org/10.2514/6.2004-494.

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Mungkasi, Sudi. "Numerical Entropy Production of Shallow Water Flows along Channels with Varying Width." In 2014 International Conference on Physics and its Applications. Paris, France: Atlantis Press, 2015. http://dx.doi.org/10.2991/icopia-14.2015.17.

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Odukoya, Adedoyin, and Greg F. Naterer. "Entropy Production of Hydrate Transport in Subsea Multiphase Pipeline Flows." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-42272.

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A numerical model is developed to examine the flow conditions of multiphase heat transfer and entropy production during hydrate formation in subsea pipelines. The temperature and pressure gradients of the oil and gas flow in subsea pipelines lead to entropy generation. This paper examines the impacts and effects of thermodynamic irreversibilities on the nucleation and growth processes of hydrate crystals in the pipeline flows. The effects of heat transfer ratio, internal diameter of the pipe, molar gas density, and environment temperature on entropy production in subsea pipelines are predicted and discussed in this paper. The numerical model accounts for the temperature distribution along the axial length of the pipe, reaction kinetics, and mass transfer between the solid and fluid layer. The kinetic energy of the hydrate particles during the coagulation process is analyzed in the numerical model. The results indicate that entropy production is highest at the beginning of the nucleation process. Pipelines with smaller internal radii have a lower rate of hydrate formation in subsea pipelines. The results from the numerical model are verified by comparison with experimental results for structure type II natural gas hydrates.
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Camberos, Jose. "The production of entropy in relation to numerical error in compressible viscous fluid flow." In Fluids 2000 Conference and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2000. http://dx.doi.org/10.2514/6.2000-2333.

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Guo, Jiangfeng, Mingtian Xu, and Lin Cheng. "A New Criterion for Assessing Heat Exchanger Performance." In 2010 14th International Heat Transfer Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/ihtc14-22315.

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The principle of minimum entropy production has played an important role in the development of non-equilibrium thermodynamics. Inspired by this principle, Bejan derived the expression of the local entropy production rate for heat convection and established the entropy production minimization approach for the heat exchanger optimization design. Although one can obtain the entropy production distribution in the heat exchanger numerically, it can not directly been employed to examine the heat exchanger performance. Tondeur and Kvaalen found that the entropy production uniformity is closely related to the heat exchanger performance. In the present work, based on Tondear and Kvaalen’s work, an entropy production uniformity factor is defined, which quantifies the uniformity of the local entropy generation distribution in heat exchanger. Numerical results of the heat transfer in a rectangular channel show that the larger entropy production uniformity factor implies less irreversible loses. Therefore, this factor can serve as a thermodynamic figure of merit for assessing the heat exchanger performance.
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Ji, Y., H. C. Zhang, Yi N. Zhang, Y. Li, and L. M. Yan. "Estimation of Loss Coefficient for T-Junction by an Entropy Production Approach." In 2014 22nd International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/icone22-30934.

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A T-junction structure is common in nuclear reactor systems, and plays an essential role in safety operation. An accurate estimation of the resistance characteristics of a T-junction is important for both energy conservation and engineering design. In the current study, the concept of the head loss coefficient K for a local structure was proposed, and its thermodynamic definition is extended to laminar flow within a T-junction by an entropy production approach, which was initially for turbulent flows. Specific numbers of K was determined by integration of the entropy generation rate obtained from a numerical simulation. In addition, the correlation between K and Re of combining and dividing flows was also derived.
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Eulitz, Frank, Karl Engel, and Hermann Gebing. "Numerical Investigation of the Clocking Effects in a Multistage Turbine." In ASME 1996 International Gas Turbine and Aeroengine Congress and Exhibition. American Society of Mechanical Engineers, 1996. http://dx.doi.org/10.1115/96-gt-026.

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The paper presents a numerical study on turbine clocking using a stator/rotor/stator model configuration of equal pitches. The results of time accurate flow calculations for four clocking positions are compared. The unsteady, two dimensional Reynolds averaged equations are solved using a one-equation turbulence model by Spalart and Allmaras. In absence of a transition model, the flow is assumed to be fully turbulent. In a first analysis of the unsteady data, emphasis has been put on the loss production of the clocked stator. A Fourier decomposition of the specific entropy at the stator entry and exit is discussed. It is shown that clocking determines the degree of interaction of a stator with the wake of another upstream stator for a given rotor speed. Further, clocking has little upstream influence.
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Kis, P., and H. Herwig. "Entropy production in turbulent convection: an analysis based on direct numerical simulation of a plane channel flow." In Turbulence, Heat and Mass Transfer 6. Proceedings of the Sixth International Symposium On Turbulence, Heat and Mass Transfer. Connecticut: Begellhouse, 2009. http://dx.doi.org/10.1615/ichmt.2009.turbulheatmasstransf.440.

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