Academic literature on the topic 'Kutta condition'

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Journal articles on the topic "Kutta condition"

1

Xu, Cheng. "Kutta Condition for sharp edge flows." Mechanics Research Communications 25, no. 4 (1998): 415–20. http://dx.doi.org/10.1016/s0093-6413(98)00054-8.

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Crighton, D. G. "The Kutta Condition in Unsteady Flow." Annual Review of Fluid Mechanics 17, no. 1 (1985): 411–45. http://dx.doi.org/10.1146/annurev.fl.17.010185.002211.

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3

Wang, Youjiang. "An easy-to-implement highly efficient algorithm for nonlinear Kutta condition in boundary element method." Physics of Fluids 34, no. 12 (2022): 127111. http://dx.doi.org/10.1063/5.0131509.

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An easy-to-implement highly efficient algorithm for the nonlinear Kutta condition in the boundary element method is proposed. The main innovation is to pre-calculate an inverse matrix and use it to replace a solving system of equations with vector–scalar multiplication and matrix–vector multiplication. This allows calculating the Jacobian matrix in each nonlinear Kutta condition iteration with little computational effort, which is important for fast and robust convergence. The open-water characteristics of four different propellers are calculated with the linear and nonlinear Kutta conditions.
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Pierce, Allan D. "David Crighton and the unsteady Kutta condition." Journal of the Acoustical Society of America 109, no. 5 (2001): 2469–70. http://dx.doi.org/10.1121/1.4744766.

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Gu, Wei, Ming Wang, and Dongfang Li. "Stepsize Restrictions for Nonlinear Stability Properties of Neutral Delay Differential Equations." Abstract and Applied Analysis 2014 (2014): 1–7. http://dx.doi.org/10.1155/2014/304071.

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The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.
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Poling, D. R., and D. P. Telionis. "The Trailing Edge of a Pitching Airfoil at High Reduced Frequencies." Journal of Fluids Engineering 109, no. 4 (1987): 410–14. http://dx.doi.org/10.1115/1.3242681.

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Trailing edge flows are visualized for a pitching airfoil. The validity of the quasi-steady and an extension to an unsteady Kutta condition, namely the Giesing-Maskell condition are examined. A new dynamic similarity parameter is proposed. Earlier work and the present results are re-evaluated in terms of this parameter. A range is identified in which no Kutta-type condition may apply.
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Zannetti, Luca, and Alexandre Gourjii. "Two-vortex equilibrium in the flow past a flat plate at incidence." Journal of Fluid Mechanics 755 (August 14, 2014): 50–61. http://dx.doi.org/10.1017/jfm.2014.418.

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AbstractThe two-dimensional inviscid incompressible steady flow past an inclined flat plate is considered. A locus of asymmetric equilibrium configurations for vortex pairs is detected. It is shown that the flat geometry has peculiar properties compared to other geometries: (i) in order to satisfy the Kutta condition at both edges, which ensures flow regularity, the total circulation and the force acting on the plate must be zero; and (ii) the Kutta condition and the free vortex equilibrium conditions are not independent of each other. The non-existence of symmetric equilibrium configurations
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Taha, Haithem, and Amir S. Rezaei. "Viscous extension of potential-flow unsteady aerodynamics: the lift frequency response problem." Journal of Fluid Mechanics 868 (April 8, 2019): 141–75. http://dx.doi.org/10.1017/jfm.2019.159.

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The application of the Kutta condition to unsteady flows has been controversial over the years, with increased research activities over the 1970s and 1980s. This dissatisfaction with the Kutta condition has been recently rejuvenated with the increased interest in low-Reynolds-number, high-frequency bio-inspired flight. However, there is no convincing alternative to the Kutta condition, even though it is not mathematically derived. Realizing that the lift generation and vorticity production are essentially viscous processes, we provide a viscous extension of the classical theory of unsteady aer
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Mohebbi, Farzad, and Mathieu Sellier. "On the Kutta Condition in Potential Flow over Airfoil." Journal of Aerodynamics 2014 (April 1, 2014): 1–10. http://dx.doi.org/10.1155/2014/676912.

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This paper proposes a novel method to implement the Kutta condition in irrotational, inviscid, incompressible flow (potential flow) over an airfoil. In contrast to common practice, this method is not based on the panel method. It is based on a finite difference scheme formulated on a boundary-fitted grid using an O-type elliptic grid generation technique. The proposed algorithm uses a novel and fast procedure to implement the Kutta condition by calculating the stream function over the airfoil surface through the derived expression for the airfoils with both finite trailing edge angle and cuspe
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Schneid, J. "A necessary condition forB-convergence of Runge-Kutta methods." BIT 30, no. 1 (1990): 166–70. http://dx.doi.org/10.1007/bf01932143.

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Dissertations / Theses on the topic "Kutta condition"

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Poling, David R. "Airfoil response to periodic disturbances: the unsteady Kutta condition." Diss., Virginia Polytechnic Institute and State University, 1985. http://hdl.handle.net/10919/76166.

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Unsteady flow fields over a NACA 0012 at an angle of attack are investigated. The first is the classical pitching motion about the airfoil's quarter chord. The second is the flow over a fixed airfoil immersed in the wake of the pitching airfoil. Large reduced frequencies are considered. Measurements were obtained in a water tunnel by Laser-Doppler velocimetry. Ensemble-averaged velocity measurements were obtained in the vicinity of the trailing edges of both the pitching and the fixed airfoils. The flowfields in the wake and at the trailing edges of both airfoils were studied visually. The val
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Gioulekas, Alexandros. "An alternative to the Kutta condition for high frequency, separated flows." Thesis, Massachusetts Institute of Technology, 1992. http://hdl.handle.net/1721.1/42530.

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Pornsawad, Pornsarp, and Christine Böckmann. "Modified iterative Runge-Kutta-type methods for nonlinear ill-posed problems." Universität Potsdam, 2014. http://opus.kobv.de/ubp/volltexte/2014/7083/.

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This work is devoted to the convergence analysis of a modified Runge-Kutta-type iterative regularization method for solving nonlinear ill-posed problems under a priori and a posteriori stopping rules. The convergence rate results of the proposed method can be obtained under Hölder-type source-wise condition if the Fréchet derivative is properly scaled and locally Lipschitz continuous. Numerical results are achieved by using the Levenberg-Marquardt and Radau methods.
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Druon, Yann. "Etude de la propagation guidée et du rayonnement acoustiques par les conduits d'éjection de turboréacteur : Modélisations analytiques et numériques." Ecully, Ecole centrale de Lyon, 2006. http://www.theses.fr/2006ECDL0002.

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Le travail présenté dans ce mémoire porte sur la modélisation de la propagation acoustique dans les conduits d’éjection de turboréacteur et du rayonnement correspondant vers l’extérieur. Le propos est, d’une part, de développer des méthodes de calcul analytiques permettant de modéliser le problème de façon souple et rapide et, d’autre part, d’évaluer la pertinence de différentes méthodes numériques, indispensables pour tenir compte de façon plus réaliste de la géométrie du problème et des conditions aérodynamiques. L’étude s'inscrit dans une démarche d’analyse progressive, en partant de config
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Touquet, Eric. "Contribution à la méthode FVTD résolue avec un schéma βγ [beta gamma] RK3 et des conditions frontières de type CFS-PML". Limoges, 2005. http://aurore.unilim.fr/theses/nxfile/default/b71481f0-f4ad-44ec-91c3-0341c5fa9f9e/blobholder:0/2005LIMO0055.pdf.

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Ce travail a consisté à l’élaboration d’un code scientifique tridimensionnel basé sur la méthode numérique Volumes Finis ou FVTD. Largement utilisée en mécaniques des fluides, elle fait ses preuves en électromagnétisme où elle est capable de résoudre les équations de Maxwell dans le domaine temporel. Le maillage utilisé est de type éléments finis permettant ainsi une description conforme de la géométrie modélisée. Afin de limiter l’espace mémoire, nous présentons des expressions théoriques simplifiées pour un maillage structuré afin de construire un code numérique FVTD original utilisant l’app
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Reddy, Swathi S. R. "Efficient Finite Element-Based Approaches for Solving Potential Flow Problems in Fluids." Thesis, 2022. https://etd.iisc.ac.in/handle/2005/5915.

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For many years, fluid flows have been modeled, starting from basic potential flow equations to full Navier-Stokes equations. The complexity of the flow increases as viscous effects, boundary layer, and flow separation are included in the fluid flow problem. However, at the preliminary design level, a simple technique to solve fluid flow problems becomes necessary for the quick assessment of 2-D aerodynamic concepts. Conventional panel methods have been popular in solving potential flow problems due to their ease of implementation for simple geometries such as circular bodies, airfoils, and 3-D
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Books on the topic "Kutta condition"

1

Das, Arabindo. On the Kutta condition for flows around lifting aerofoils and wings. DFVLR, 1987.

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2

Kunta Kinte original: Catatan kopitiam. Berita Publishing, 2012.

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Jasin, A. Kadir. Biar putih tulang-- Kunta Kinte. Penerbit Universiti Malaya, 1998.

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4

Yousuff, Hussaini M., Manthey J, and Institute for Computer Applications in Science and Engineering., eds. Low-dissipation and -disperson Runge-Kutta schemes for computational acoustics. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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1974-, Kori'un Hary B., ed. Kampung kusta: Kumpulan karya jurnalistik Rida Award 2008. Yayasan Sagang, 2008.

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David, Gottlieb, Carpenter Mark H, and Institute for Computer Applications in Science and Engineering., eds. On the removal of boundary errors caused by Runge-Kutta integration of non-linear partial differential equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Indonesia. Badan Pengembangan Kebudayaan dan Pariwisata., ed. Emerging from sorrow: Bali tragedy. Indonesia Culture and Tourism Board, 2002.

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Daniel, Tifa, and Bali (Indonesia : Province). Biro Humas dan Protokol., eds. Bali bombing. Bureau of Public Relations and Protocol, Bali Province Secretariat, 2003.

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D, Gottlieb, and Institute for Computer Applications in Science and Engineering., eds. A stable penalty method for the compressible Navier-Stokes equations. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Low-dissipation and -disperson Runge-Kutta schemes for computational acoustics. Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Book chapters on the topic "Kutta condition"

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Hirschel, Ernst Heinrich, Arthur Rizzi, Christian Breitsamter, and Werner Staudacher. "About the Kutta Condition." In Separated and Vortical Flow in Aircraft Wing Aerodynamics. Springer Berlin Heidelberg, 2020. http://dx.doi.org/10.1007/978-3-662-61328-3_6.

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2

Oshima, Koichi. "Some Remarks on the Kutta Condition." In Advances in Fluid Dynamics. Springer New York, 1989. http://dx.doi.org/10.1007/978-1-4612-3684-9_15.

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Zhang, Baoji, and Lupeng Fu. "Study on the Analysis Method of Ship Surf-Riding/Broaching Based on Maneuvering Equations." In Proceeding of 2021 International Conference on Wireless Communications, Networking and Applications. Springer Nature Singapore, 2022. http://dx.doi.org/10.1007/978-981-19-2456-9_58.

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AbstractIn order to understand the mechanism of the surf-riding/broaching profoundly, the four- degree- of-freedom(4DOF) maneuvering equation (surge, sway, yaw and roll) is simplified to a one- degree-of-freedom (1DOF) equation, and the fourth-order Runge-Kutta method is used to integrate a 1DOF surge equation in the time domain to analyze the two motion states of the ship during the surging and surf-riding. The critical Froude number is calculated using the Melnikov method. Taking a fishing boat as an example, the ship’s surf-riding/broaching phenomenon is simulated under the condition of wavelength-to-ship-length ratio and wave steepness, 1 and 1/10 respectively, providing technical support for the formulation of the second generation intact stability criteria.
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Rienstra, S. W. "A note on the Kutta condition in Glauert’s solution of the thin aerofoil problem." In Problems in Applied, Industrial and Engineering Mathematics. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2440-9_5.

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Griffiths, David F., and Desmond J. Higham. "Runge–Kutta Method—I: Order Conditions." In Numerical Methods for Ordinary Differential Equations. Springer London, 2010. http://dx.doi.org/10.1007/978-0-85729-148-6_9.

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Hundsdorfer, Willem, Anna Mozartova, and Valeriu Savcenco. "Monotonicity Conditions for Multirate and Partitioned Explicit Runge-Kutta Schemes." In Notes on Numerical Fluid Mechanics and Multidisciplinary Design. Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-33221-0_11.

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Hairer, Ernst, Michel Roche, and Christian Lubich. "Order conditions of Runge-Kutta methods for index 2 systems." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0093952.

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Luan, Vu Thai, and Alexander Ostermann. "Stiff Order Conditions for Exponential Runge–Kutta Methods of Order Five." In Modeling, Simulation and Optimization of Complex Processes - HPSC 2012. Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09063-4_11.

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Steward, David R. "Analytic Elements from Complex Functions." In Analytic Element Method. Oxford University Press, 2020. http://dx.doi.org/10.1093/oso/9780198856788.003.0003.

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The mathematical functions associated with analytic elements may be formulated using a complex function $\Omega$ of a complex variable ${\zcomplex}$. Complex formulation of analytic elements is introduced in Section 3.1 for exact solutions obtained by embedding point elements that generate divergence, circulation, or velocity within a uniform vector field. Influence functions for analytic elements with circular geometry are obtained using Taylor and Laurent series expansions in Section 3.2, and conformal mapping extends this formulation to analytic elements with the geometry of ellipses (Section 3.3). The Courant's Sewing Theorem is employed in Section 3.4 to develop solutions for interface conditions across straight line segments, and the Joukowsky transformation extends methods to circular arcs and wings (Section 3.5), which satisfy a Kutta condition of non-singular vector field at their trailing edges. Vector fields with spatially distributed divergence and curl are formulated using the complex variable ${\zcomplex}$ with its complex conjugate $\overline{\zcomplex}$ in Section 3.6, and the complex conjugate is further employed in the Kolosov formulas (Section 3.7) to solve force deformation problems for analytic elements with traction or displacement specified boundary conditions.
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Elastic, Pantry, Toni Bakhtiar, and Jaharuddin. "An Optimal Control Problem of Knowledge Dissemination." In Advances in Human Resources Management and Organizational Development. IGI Global, 2020. http://dx.doi.org/10.4018/978-1-5225-8933-4.ch022.

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In this chapter, the authors develop an optimal control model of knowledge dissemination among people in the society. The knowledge transfer system is formulated in term of compartmental model, where the society members are categorized into four classes based on knowledge acquisition and their willingness to disseminate. The model is equipped with a set of control variables for process intervening, namely technical training for ignorant-immigrants, information dissemination through social media for solitariants and enthusiants, and technical training for solitariants. Optimality conditions in terms of differential equations system was derived by using Pontryagin minimum principle leading to the characterization of optimal control strategies that minimizing the number of solitariants, enthusiants, and ignorants simultaneously with the control efforts. The sweep method and the fourth order Runge-Kutta algorithm was implemented to numerically solve the equation systems. The effectiveness of the control strategies toward a set of control scenarios was evaluated through examples.
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Conference papers on the topic "Kutta condition"

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Meyer, Rudolph. "A generalized Kutta condition for separated flow." In Fluid Dynamics Conference. American Institute of Aeronautics and Astronautics, 1995. http://dx.doi.org/10.2514/6.1995-2153.

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Yonemoto, Koichi, Keiichiro Takato, Hiroshi Ochi, and Satoshi Fujie. "Kutta Condition Violation in Two-Dimensional NACA0012 Airfoil at Low Reynolds Number." In 26th AIAA Applied Aerodynamics Conference. American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-6399.

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Ma, Can, Xinrong Su, Jinlan Gou, and Xin Yuan. "Runge-Kutta/Implicit Scheme for the Solution of Time Spectral Method." In ASME Turbo Expo 2014: Turbine Technical Conference and Exposition. American Society of Mechanical Engineers, 2014. http://dx.doi.org/10.1115/gt2014-26474.

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This paper investigates the Runge-Kutta implicit scheme applied to the solution of the time spectral method for periodic unsteady flow simulation. Several explicit and implicit time integration schemes including the Runge-Kutta scheme, Block-Jacobi SSOR (symmetric successive over relaxation)scheme and Block-Jacobi Runge-Kutta/Implicit scheme are implemented into an in-house code and applied to the time marching solution of the time spectral method. The time integration is coupled with Full Approximation Storage (FAS) type multi-grid method for convergence acceleration. The in-house code is bas
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Schultz, William W., Shounak Vinayak Bapat, and Paul W. Webb. "Directional Stability of a Neutrally Buoyant Joukowsky Foil." In ASME 2015 34th International Conference on Ocean, Offshore and Arctic Engineering. American Society of Mechanical Engineers, 2015. http://dx.doi.org/10.1115/omae2015-41687.

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We examine the directional stability of a two-dimensional neutrally buoyant foil in an ideal fluid. To take advantage of the greatest simplicities we consider a symmetric Joukowsky airfoil and use the method of images. J.N. Newman in Marine Hydrodynamics [1] states, “For a nonlifting body with a pointed tail ... the vessel is always unstable. This situation results from the destabilizing effect of the Munk moment; in general an elongated nonlifting body will be stable only when moving broadside to the flow. Directional stability of a streamlined body depends on a tail fin, as in the case of an
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Sharma, Mayank, Nathan A. Wukie, Matteo Ugolotti, and Mark G. Turner. "Unsteady Turbomachinery Simulations Using Harmonic Balance on a Discontinuous Galerkin Discretization." In ASME Turbo Expo 2018: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2018. http://dx.doi.org/10.1115/gt2018-77204.

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The Harmonic Balance method is well suited for analyzing unsteadiness in turbomachinery flows comprised of a few dominant frequencies. A harmonic condition is imposed on the temporal derivatives through a Fourier transform operation. The solution is then reinterpreted as a time-domain problem, where several instances of time (lying within the largest period) are solved for simultaneously with the enforcement of the time-harmonic condition providing coupling between time instances. A discontinuous Galerkin discretization is used together with overset grids to provide higher-order spatial accura
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Achkinadze, Alexander S., Aage Berg, Vladimir I. Krasilnikov, and Ivan E. Stepanov. "Numerical Analysis of Podded and Steering Systems Using a Velocity Based Source Boundary Element Method with Modified Trailing Edge." In SNAME 10th Propeller and Shafting Symposium. SNAME, 2003. http://dx.doi.org/10.5957/pss-2003-12.

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This paper describes an improved velocity based source boundary element method (HEM) as applied to modeling of podded propellers and propeller/rudder systems. The distinctive feature of the present method consists in the direct satisfaction of the Kutta-Joukowski condition on the additional Kutta panel constructed behind the realistic blade trailing edge when defining the unknown doublet strength. This Modified Trailing Edge (MTE) is also used as a tool for the approximate accounting for viscous and related effects on circulation. The integrated propulsive/steering system is simulated within t
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Yulin, Chen, Chen Kangmin, and Zhang Dangfang. "A Variational Finite Element Method for Solving the Blade-to-Blade Flow in Centrifugal Compressor’s Cascades With Splitter Blades on an Arbitrary Streamsheet of Revolution and a Mathematical Treatment to the Region Behind Cascades." In ASME 1985 Beijing International Gas Turbine Symposium and Exposition. American Society of Mechanical Engineers, 1985. http://dx.doi.org/10.1115/85-igt-148.

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A variational finite element method for solving the blade-to-blade flow in centrifugal compressor’s cascades with splitter blades on an arbitrary streamsheet of revolution is suggested in this paper. At first, the variational principles Ref.(1) is modified, then the variational principle after modification is discretized by eight node isoparametric finite elements to carry out the system of nonlinear algebraic equations for solving the velocity potential function. Finally, the flow field which agrees with Kutta condition and has an region behind the cascade of enough length has been worked out
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Zhang, Yining, Haochun Zhang, Yang Su, and Guangbo Zhao. "A Comparative Study of 10 Different Methods on Numerical Solving of Point Reactor Neutron Kinetics Equations." In 2017 25th International Conference on Nuclear Engineering. American Society of Mechanical Engineers, 2017. http://dx.doi.org/10.1115/icone25-67275.

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Point reactor neutron kinetics equations describe the time dependent neutron density variation in a nuclear reactor core. These equations are widely applied to nuclear system numerical simulation and nuclear power plant operational control. This paper analyses the characteristics of 10 different basic or normal methods to solve the point reactor neutron kinetics equations. These methods are: explicit and implicit Euler method, explicit and implicit four order Runge-Kutta method, Taylor polynomial method, power series method, decoupling method, end point floating method, Hermite method, Gear me
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Selstad, Tyler J., and Kambiz Farhang. "An Efficient Algorithm for Computing the Steady-State Dynamic Response of High-Speed Mechanisms." In ASME 1994 Design Technical Conferences collocated with the ASME 1994 International Computers in Engineering Conference and Exhibition and the ASME 1994 8th Annual Database Symposium. American Society of Mechanical Engineers, 1994. http://dx.doi.org/10.1115/detc1994-0244.

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Abstract An efficient method for obtaining the steady-state response of linear systems with periodically time varying coefficients is developed. The steady-state solution is obtained by dividing the fundamental period into a number of intervals and establishing, based on a fourth-order Rung-Kutta formulation, the relation between the response at the start and end of the period. Imposition of periodicity condition upon the response facilitates computation of the initial condition that yields the steady-state values in a single pass; i.e. integration over only one period. Through a practical exa
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Liu, Gao-Lian. "Generalized Euler’s Turbomachine Equation and Free Vortex Sheet Conditions in Separated/Cavitated Turbo-Flows." In ASME 1995 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1995. http://dx.doi.org/10.1115/95-gt-171.

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In the present paper four fundamental problems in turbomachinery aerodynamic theory are studied in depth: (1) It is shown that the well–known Euler’s equation for turbomachine power is valid only for shrouded impellers. Then, a generalization of it to unshrouded impellers is carried out. (2) An equation relating the free trailing vortex distribution along the blade span to that of the swirl moment rVθ is derived, yielding a condition for the vanishing of free trailing vortex sheets. (3) The free surface conditions in separated flow are shown to be entirely different from those in cavitated flo
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