Relevant bibliographies by topics / Equations d' Euler

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Equations d' Euler'

Author: Grafiati
Published: 4 June 2021
Last updated: 1 February 2022

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Journal articles on the topic "Equations d' Euler"

1

Pumir, Alain, and Eric Siggia. "Collapsing solutions to the 3‐D Euler equations." Physics of Fluids A: Fluid Dynamics 2, no. 2 (February 1990): 220–41. http://dx.doi.org/10.1063/1.857824.

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Chae, Dongho. "Weak solutions of 2-D incompressible Euler equations." Nonlinear Analysis: Theory, Methods & Applications 23, no. 5 (September 1994): 629–38. http://dx.doi.org/10.1016/0362-546x(94)90242-9.

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Chae, Dongho, and Oleg Yu Imanuvilov. "Generic Solvability of the Axisymmetric 3-D Euler Equations and the 2-D Boussinesq Equations." Journal of Differential Equations 156, no. 1 (July 1999): 1–17. http://dx.doi.org/10.1006/jdeq.1998.3607.

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Tang, Xiuli, Xiuqing Wang, and Ganshan Yang. "Stability and Unstability of the Standing Wave to Euler Equations." Advances in Applied Mathematics and Mechanics 9, no. 4 (January 18, 2017): 818–38. http://dx.doi.org/10.4208/aamm.2016.m1425.

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AbstractIn this paper, we first discuss the well-posedness of linearizing equations, and then study the stability and unstability of the 3-D compressible Euler Equation, by analysing the existence of saddle point. In addition, we give the existence of local solutions of the compressible Euler equation.
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Nabighian, Misac N., and R. O. Hansen. "Unification of Euler and Werner deconvolution in three dimensions via the generalized Hilbert transform." GEOPHYSICS 66, no. 6 (November 2001): 1805–10. http://dx.doi.org/10.1190/1.1487122.

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The extended Euler deconvolution algorithm is shown to be a generalization and unification of 2‐D Euler deconvolution and Werner deconvolution. After recasting the extended Euler algorithm in a way that suggests a natural generalization to three dimensions, we show that the 3‐D extension can be realized using generalized Hilbert transforms. The resulting algorithm is both a generalization of extended Euler deconvolution to three dimensions and a 3‐D extension of Werner deconvolution. At a practical level, the new algorithm helps stabilize the Euler algorithm by providing at each point three equations rather than one. We illustrate the algorithm by explicit calculation for the potential of a vertical magnetic dipole.
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Vecchi, Italo. "Concentration-cancellation and Hardy spaces." Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 58, no. 1 (February 1995): 94–99. http://dx.doi.org/10.1017/s144678870003812x.

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AbstractLet υ∈ be a sequence of DiPema-Majda approximate solutions to the 2-d incompressible Euler equations. We prove that if the vorticity sequence is weakly compact in the Hardy space H1 (R2) then a subsequence of υ∈ converges strongly in the energy norm to a solution of the Euler equations.
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BABIN, A., A. MAHALOV, and B. NICOLAENKO. "ON THE REGULARITY OF THREE-DIMENSIONAL ROTATING EULER–BOUSSINESQ EQUATIONS." Mathematical Models and Methods in Applied Sciences 09, no. 07 (October 1999): 1089–121. http://dx.doi.org/10.1142/s021820259900049x.

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The 3-D rotating Boussinesq equations (the "primitive" equations of geophysical fluid flows) are analyzed in the asymptotic limit of strong stable stratification. The resolution of resonances and a nonstandard small divisor problem are the basis for error estimates for such fast singular oscillating limits. Existence on infinite time intervals of regular solutions to the viscous 3-D "primitive" equations is proven for initial data in Hα, α≥ 3/4. Existence on a long-time interval T*of regular solutions to the 3-D inviscid equations is proven for initial data in Hα, α > 5/2 (T*→∞ as the frequency of gravity waves →∞).
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Capdevila, H. "Solution of 2-D Euler equations with a parallel code." Parallel Computing 7, no. 3 (September 1988): 451–60. http://dx.doi.org/10.1016/0167-8191(88)90065-8.

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Huicheng, Yin, and Qiu Qingjiu. "The lifespan for 3-D spherically symmetric compressible euler equations." Acta Mathematica Sinica, English Series 14, no. 4 (October 1998): 527–34. http://dx.doi.org/10.1007/bf02580410.

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Pumir, Alain, and Eric Siggia. "Simulations of incipient singularities in the 3-D Euler equations." Physica D: Nonlinear Phenomena 37, no. 1-3 (July 1989): 539–41. http://dx.doi.org/10.1016/0167-2789(89)90158-9.

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Dissertations / Theses on the topic "Equations d' Euler"

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Cismas, Emanuel-Ciprian [Verfasser]. "Euler-Poincaré-Arnold equations on semi-direct products / Emanuel-Ciprian Cismas." Hannover : Technische Informationsbibliothek und Universitätsbibliothek Hannover (TIB), 2015. http://d-nb.info/1080271619/34.

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Hauray, Maxime. "Equations de Liouville, limites en grand nombre de particules." Paris 9, 2004. https://portail.bu.dauphine.fr/fileviewer/index.php?doc=2004PA090049.

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Cette thèse est consacrée aux équations différentielles ordinaires et aux équations de transport associées, pour des champs de vecteurs peu réguliers, et contient quatre travaux. Le premier traite la résolution des EDO et équations de transport pour des champs de vecteurs dans L^2(R^2) à divergence nulle, vérifiant une condition de régularité sur la direction du champ. Les résultats sont obtenus dans le cadre de la théorie développée par R. DiPerna et P. L. Lions pour la résolution des équations de transport à coefficients peu réguliers. On abaisse les conditions de régularité nécessaires dans ce cas particulier de la dimension deux. Le second travail concerne l'équation de Liouville, qui gouverne le comportement d'une densité de N particules en interaction, dans le cadre de champs peu réguliers. Les résultats de DiPerna et Lions, déjà étendus au cas cinétique par François Bouchut, sont adaptés pour permettre de prendre en compte une singularité à l'origine. Dans le troisième travail, nous nous intéressons à la convergence des systèmes de particules en interaction vers l'équation Vlasov. La convergence est obtenue grâce à des estimations discrètes précises, dans le cas de forces d'interactions en 1/|x|^alpha, pour alpha < 1. Cela améliore le résultat connu précedemment pour des forces C^1. Le quatrième utilise le même type de technique pour l'approximation d'Euler par des vortex. On y prouve la convergence pour tout temps quand l'interaction est a peine moins singulières que pour les vortex. On donne aussi des bornes uniformes sur le champ et son acrroissement dans le cas des vrais vortex.
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Wiedemann, Emil [Verfasser]. "Weak and measure-valued solutions of the incompressible Euler equations / Emil Wiedemann." Bonn : Universitäts- und Landesbibliothek Bonn, 2012. http://d-nb.info/1043911308/34.

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Onur, Omer. "Effect Of Jacobian Evaluation On Direct Solutions Of The Euler Equations." Master's thesis, METU, 2003. http://etd.lib.metu.edu.tr/upload/2/1098268/index.pdf.

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A direct method is developed for solving the 2-D planar/axisymmetric Euler equations. The Euler equations are discretized using a finite-volume method with upwind flux splitting schemes, and the resulting nonlinear system of equations are solved using Newton&
#8217
s Method. Both analytical and numerical methods are used for Jacobian calculations. Numerical method has the advantage of keeping the Jacobian consistent with the numerical flux vector without extremely complex or impractical analytical differentiations. However, numerical method may have accuracy problem and may need longer execution time. In order to improve the accuracy of numerical method detailed error analyses were performed. It was demonstrated that the finite-difference perturbation magnitude and computer precision are the most important parameters that affect the accuracy of numerical Jacobians. A relation was developed for optimum perturbation magnitude that can minimize the error in numerical Jacobians. Results show that very accurate numerical Jacobians can be calculated with optimum perturbation magnitude. The effects of the accuracy of numerical Jacobians on the convergence of flow solver are also investigated. In order to reduce the execution time for numerical Jacobian evaluation, flux vectors with perturbed flow variables are calculated for only related cells. A sparse matrix solver based on LU factorization is used for the solution, and to improve the Jacobian matrix solution some strategies are considered. Effects of different flux splitting methods, higher-order discretizations and several parameters on the performance of the solver are analyzed.
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Nersisyan, Hayk. "Contrôlabilité et stabilisation des équations d'Euler incompressible et compressible." Thesis, Cergy-Pontoise, 2011. http://www.theses.fr/2011CERG0531/document.

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Dans cette thèse, on étudie la contrôlabilité et la stabilisation de certaines équations aux dérivées partielles . On s'intéresse d'abord au problème du contrôle de l'équation d'Euler 3D incompressible par une force extérieure de dimension finie. Nous montrons que pour un choix approprié de l'espace de contrôle, la vitesse et la pression du fluide sont exactement contrôlables en projections. De plus, la vitesse est approximativement contrôlable. Nous montrons aussi que le système en question n'est pas exactement contrôlable par une force extérieure de dimension finie.On étudie aussi la contrôlabilité de l'équation d'Euler 3D compressible. Le contrôle est une force extérieure de dimension finie agissant uniquement sur l'équation de la vitesse. Nous montrons que la vitesse et la densité du fluide sont simultanément contrôlables. En particulier, le système est approximativement contrôlable et exactement contrôlable en projections. Dans la dernière partie, on étudie la stabilisation de l'équation d'Euler dans un cylindre infini.Nous montrons que pour toute solution stationnaire (c,0) du système d'Euler il existe un contrôle supporté dans une partie de la frontière du cylindre qui stabilise le système à (c,0)
In this thesis, we study the controllability and stabilization of certain partial differential equations.We consider first the problem of control of the 3D incompressible Euler equationby an external force of finite dimension. We show that for an appropriate choice of control space, the velocity and the pressure of the fluid are exactly controllable in projections.Moreover, the velocity is approximately controllable. We also show that the system in question is not exactly controllable by a finite-dimensional external force.We also study the controllability of the 3D compressible Euler equation. The control is a finite-dimensional external force acting only on the velocity equation. We show that the velocity and density of the fluid are simultaneously controllable. In particular, the system is approximately controllable and exactly controllable in projections.The last section of the thesis is devoted to the study of a stabilization problem for the 2D incompressible Euler system in an infinite strip with boundary controls. We show that for any stationary solution (c,0) of the Euler system there is a control which is supported in a given bounded part of the boundary of the strip and stabilizes the system to (c,0)
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Yin, Huicheng. "Formation and construction of a shock wave for 3-D compressible Euler equations with spherical initial data." Universität Potsdam, 2002. http://opus.kobv.de/ubp/volltexte/2008/2626/.

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In this paper, the problem on formation and construction of a shock wave for three dimensional compressible Euler equations with the small perturbed spherical initial data is studied. If the given smooth initial data satisfies certain nondegenerate condition, then from the results in [20], we know that there exists a unique blowup point at the blowup time such that the first order derivates of smooth solution blow up meanwhile the solution itself is still continuous at the blowup point. From the blowup point, we construct a weak entropy solution which is not uniformly Lipschitz continuous on two sides of shock curve, moreover the strength of the constructed shock is zero at the blowup point and then gradually increases. Additionally, some detailed and precise estimates on the solution are obtained in the neighbourhood of the blowup point.
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Abdelrahman, Mahmoud Abdelaziz Elbiomy [Verfasser], and Matthias [Akademischer Betreuer] Kunik. "Analytical and numerical investigation of the ultra-relativistic Euler equations / Mahmoud Abdelaziz Elbiomy Abdelrahman. Betreuer: Matthias Kunik." Magdeburg : Universitätsbibliothek, 2013. http://d-nb.info/1054421048/34.

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Barsukow, Wasilij [Verfasser], and Christian [Gutachter] Klingenberg. "Low Mach number finite volume methods for the acoustic and Euler equations / Wasilij Barsukow ; Gutachter: Christian Klingenberg." Würzburg : Universität Würzburg, 2018. http://d-nb.info/1155723279/34.

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Pinger, Inga M. [Verfasser], and Wilhelm [Akademischer Betreuer] Heinrichs. "Adaptive least squares pseudospectral element methods for the two dimensional Euler equations / Inga M. Pinger ; Betreuer: Wilhelm Heinrichs." Duisburg, 2020. http://d-nb.info/1216827168/34.

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Cunha, Guilherme. "Optimisation d'une méthodologie de simulation numérique pour l'aéroacoustique basée sur un couplage faible des méthodes d'aérodynamique instationnaire et de propagation acoustique." Thesis, Toulouse, ISAE, 2012. http://www.theses.fr/2012ESAE0028/document.

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Le présent travail a consisté à évaluer, améliorer et valider plus avant une méthode de couplage faible CFD/CAA, notamment relativement à son application à des problèmes réalistes de bruit avion. Entre autres choses, il a été ici montré dans quelle mesure une telle méthode hybride peut effectivement (i) s’accommoder des contraintes inhérentes aux applications réalistes, (ii) sans être menacée par certains de ses inévitables effets de bord (tels que la dégradation du signal auxquelles sont soumises les données CFD, lorsqu’elles sont traitées ou exploitées acoustiquement)
The present work consisted in improving, assessing and validating further the CFD/CAA surface weak coupling methodology, with respect to its application to realistic problems of aircraft noise. In particular, it was here shown how far such hybrid methodology could (i) cope with all stringent constraints that are dictated by real-life applications, (ii) without being jeopardized by some of the unavoidable side-effects (such as the signal degradation to which CFD data are subjected, when processed or being then acoustically exploited)
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Books on the topic "Equations d' Euler"

1

Dannenhoffer, John F. Grid adaptation for the 2-D Euler equations. New York, N. Y: American Institute of Aeronautics and Astronautics, 1985.

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Tanveer, Saleh. A Note on singularities of the 3-D Euler equation. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1994.

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Singh, K. P. 3-D unstructured method for flows past bodies in 6-DOF relative motion: Preprint from proceedings of 6th International Symposium of Computational Fluid Dynamics, Japan Society of Computational Fluid Dynamics, September 4-8, 1995, Lake Tahoe, Nevada. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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On bi-grid local mode analysis of solution techniques for 3-D Euler and Navier-Stokes equations. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1994.

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On bi-grid local mode analysis of solution techniques for 3-D Euler and Navier-Stokes equations. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1994.

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O, Demuren A., and Lewis Research Center. Institute for Computational Mechanics in Propulsion., eds. On bi-grid local mode analysis of solution techniques for 3-D Euler and Navier-Stokes equations. [Cleveland, Ohio]: National Aeronautics and Space Administration, Lewis Research Center, Institute for Computational Mechanics in Propulsion, 1994.

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Oktay, Baysal, and United States. National Aeronautics and Space Administration., eds. 3-D unstructured method for flows past bodies in 6-DOF relative motion: Preprint from proceedings of 6th International Symposium of Computational Fluid Dynamics, Japan Society of Computational Fluid Dynamics, September 4-8, 1995, Lake Tahoe, Nevada. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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Oktay, Baysal, and United States. National Aeronautics and Space Administration., eds. 3-D unstructured method for flows past bodies in 6-DOF relative motion: Preprint from proceedings of 6th International Symposium of Computational Fluid Dynamics, Japan Society of Computational Fluid Dynamics, September 4-8, 1995, Lake Tahoe, Nevada. [Washington, D.C: National Aeronautics and Space Administration, 1995.

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Book chapters on the topic "Equations d' Euler"

1

Pumir, Alain, and Eric D. Siggia. "Collapsing Solutions in the 3-D Euler Equations." In NATO ASI Series, 509–13. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-5793-3_51.

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Pumir, Alain, and Eric D. Siggia. "Vortex Dynamics and Singularities in the 3-D Euler Equations." In New Trends in Nonlinear Dynamics and Pattern-Forming Phenomena, 321–25. New York, NY: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-7479-4_44.

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Mege, Philippe, Thien Hiep Le, and Yves Morchoisne. "Numerical simulation of vortex breakdown via 3-D Euler equations." In Fluid Mechanics and Its Applications, 303–20. Dordrecht: Springer Netherlands, 1991. http://dx.doi.org/10.1007/978-94-015-7904-9_19.

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Mas-Gallic, S., M. Louaked, and O. Pironneau. "A Particle in Cell Method for the 2-D Compressible Euler Equations." In Vortex Flows and Related Numerical Methods, 373–87. Dordrecht: Springer Netherlands, 1993. http://dx.doi.org/10.1007/978-94-015-8137-0_27.

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Beale, J. Thomas. "The Approximation of Weak Solutions to the 2-D Euler Equations by Vortex Elements." In Multidimensional Hyperbolic Problems and Computations, 23–37. New York, NY: Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4613-9121-0_3.

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Weinerfelt, P., and T. Schönfeld. "An unstructured multi-block local grid refinement solver for the 3-D Euler equations and its implementation on distributed memory computers." In Thirteenth International Conference on Numerical Methods in Fluid Dynamics, 230–34. Berlin, Heidelberg: Springer Berlin Heidelberg, 1993. http://dx.doi.org/10.1007/3-540-56394-6_222.

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"Spirals for Riemann problems in multipieces for 2-D Euler equations by using MmB schemes." In Nonlinear Evolutionary Partial Differential Equations, 595–99. Providence, Rhode Island: American Mathematical Society, 1996. http://dx.doi.org/10.1090/amsip/003/60.

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Satofuka, Nobuyuki, Masanori Obata, and Toshihiro Suzuki. "Parallel computation of 2-D potential and euler equations on transputer arrays." In Parallel Computational Fluid Dynamics 1993, 525–32. Elsevier, 1995. http://dx.doi.org/10.1016/b978-044481999-4/50186-9.

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Beris, Antony N., and Brian J. Edwards. "Introduction." In Thermodynamics of Flowing Systems: with Internal Microstructure. Oxford University Press, 1994. http://dx.doi.org/10.1093/oso/9780195076943.003.0005.

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The investigation of dynamical phenomena in gases, liquids, and solids has attracted the interest of physicists, chemists, and engineers from the very beginning of the modern science. The early work on transport phenomena focussed on the description of ideal flow behavior as a natural extension to the dynamical behavior of a collection of discrete particles, which dominated so much of the classical mechanics of the last century. As far back as 1809, the mathematical techniques which later came to be known as Hamiltonian mechanics began to emerge, as well as an appreciation of the inherent symmetry and structure of the mathematical forms embodied by the Poisson bracket. It was in this year that S. D. Poisson introduced this celebrated bracket [Poisson, 1809, p. 281], and in succeeding years that such famous scholars as Hamilton, Jacobi, and Poincaré laid the foundation for classical mechanics upon the earlier bedrock of Euler, Lagrange, and d'Alembert. This surge of interest in Hamiltonian mechanics continues well into the waning years of the twentieth century, where scholars are just beginning to realize the wealth of information to be gained through the use of such powerful analytic tools as the Hamiltonian/Poisson formalism and the development of symplectic methods on differential manifolds. Specifically, the study of the dynamics of ideal continua, which is analogous to the discrete particle dynamics studied by Hamilton, Jacobi, and Poisson, has recently benefited significantly by the adaptation of the equations of motion into Hamiltonian form. The inherent structure and symmetry of this form of the equations is particularly well suited for many mathematical analyses which are extremely difficult when conducted in terms of the standard forms of the dynamical equations, for instance, stability and perturbation analyses of ideal fluid flows. Thus, classical mechanics and its outgrowth, continuum mechanics, seem to be on the verge of some major developments. Yet, further progress in this area was hindered by the fact that the traditional form of the Hamiltonian structure can only describe conservative systems, thus placing a severe constraint on the applicability of these mathematically elegant and computationally powerful techniques to real systems.
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Ciulin, Dan. "About Gravitational (Inertial) Motors." In Advances in Business Information Systems and Analytics, 90–126. IGI Global, 2017. http://dx.doi.org/10.4018/978-1-5225-1680-4.ch005.

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A gravitational motor interact with the locally gravitational field in order to produce a linear and/or rotational thrust able to move in space a given vehicle. The big advantages of such a motor are the facts that it can be used for nearly any kind of vehicle, even in free space, and may be placed inside the vehicle as the necessary interactions with the environment are realized through gravitational fields but not by direct mechanical interaction as for actual motors used for vehicles. Generally, in mechanics a physical motor may be considered as a ‘transducer' between some input (equivalent) energy existing on a vehicle and the output (equivalent) obtained movement of this vehicle. For space treks, such a motor must be able to ensure the take-off and/or landing of a space vehicle on any given planet and carry the entire load corresponding to this vehicle including also the necessary energy sources and eventually a human crew. By analogy with the Levitron toy the atomic particles, and the maglev such motor may be built. The paper presents some ideas and mathematical models that may help to build such a gravitational motor. It starts by presenting the energy based differential equations that have as solution analytic complex exponential functions, elliptic and ultra-elliptic functions adding also a physical interpretation of their coefficients. Forces and torques in mechanic and electro mechanic are presented and also methods to obtain such forces using only torques. Based on the modified Euler equations of a gyroscope with an added magnet like for the Levitron toy, an electro-mechanical gravitational motor may be built and a mathematical model for the gravitational waves is also deduced. Maybe, by using this kind of waves, a permanent contact between an interplanetary ship and the earth can be kept. Another kind of inertial motor may be based on the direct transfer of the energy of acoustical and/or ultra-acoustical waves that represents the desired ‘inertia' of a vehicle to this vehicle. This kind of transfer may be realized using convenient acoustical and/or ultra-acoustical 3-D sources. This last method has the advantage that uses no mechanical component in movement and then may lead to a better reliability. Associated with a good and convenient technology that may be developed on the presented bases, all these tools are of most strategic importance. Applications may be found in interplanetary telecommunications and treks but also for a new, more sure and versatile, telecommunications systems and terrestrial vehicles. The presented tools may be used for mathematically modeling the fields and ensure also a more comprehensive understanding.
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Conference papers on the topic "Equations d' Euler"

1

DANNENHOFFER, III, J., and J. BARON. "Grid adaptation for the 2-D Euler equations." In 23rd Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1985. http://dx.doi.org/10.2514/6.1985-484.

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SAXER, ANDRE, and MICHAEL GILES. "Quasi-3-D non-reflecting boundary conditions for Euler equations calculations." In 10th Computational Fluid Dynamics Conference. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1991. http://dx.doi.org/10.2514/6.1991-1603.

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SHAPIRO, RICHARD, and EARLL MURMAN. "Higher-order and 3-D finite element methods for the Euler equations." In 27th Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1989. http://dx.doi.org/10.2514/6.1989-655.

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Li, Jie, Qin E, Fengwei Li, and Haixin Chen. "3-D flow simulations for general powered engine nacelles using Euler equations." In 36th AIAA Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1998. http://dx.doi.org/10.2514/6.1998-929.

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Desquesnes, Guillaume. "Euler Equations in Perturbation 2.5-D : a New System for Acoustic Modal Propagation." In 14th AIAA/CEAS Aeroacoustics Conference (29th AIAA Aeroacoustics Conference). Reston, Virigina: American Institute of Aeronautics and Astronautics, 2008. http://dx.doi.org/10.2514/6.2008-2822.

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ALLMARAS, S., and J. BARON. "Embedded mesh solution of the 2-D Euler equations - Evaluation of interface formulations." In 24th Aerospace Sciences Meeting. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1986. http://dx.doi.org/10.2514/6.1986-509.

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Gerolymos, Georg A. "Advances in the Numerical Integration of the 3-D Euler Equations in Vibrating Cascades." In ASME 1992 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1992. http://dx.doi.org/10.1115/92-gt-170.

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In the present work an algorithm for the numerical integration of the 3-D unsteady Euler equations in vibrating transonic compressor cascades is described. The equations are discretized in finite-volume formulation in a mobile grid using isoparametric brick elements. They are integrated in time using Runge-Kutta schemes. A thorough discussion of the boundary-conditions used and of their infuence on results is undertaken. The influence of grid refinement on computational results is examined. Unsteady convergence of results is discussed.
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Schoenfeld, Thilo, and Michael Rudgyard. "A cell-vertex approach to local mesh refinement for the 3-D Euler equations." In 32nd Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 1994. http://dx.doi.org/10.2514/6.1994-318.

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9

Shieh, C. F., and R. A. Delaney. "An Accurate and Efficient Euler Solver for Three-Dimensional Turbomachinery Flows." In ASME 1986 International Gas Turbine Conference and Exhibit. American Society of Mechanical Engineers, 1986. http://dx.doi.org/10.1115/86-gt-200.

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Accurate and efficient Euler equation numerical solution techniques are presented for analysis of three-dimensional turbomachinery flows. These techniques include an efficient explicit hopscotch numerical scheme for solution of the 3-D time-dependent Euler equations and an O-type body-conforming grid system. The hopscotch scheme is applied to the conservative form of the Euler equations written in general curvilinear coordinates. The grid is constructed by stacking from hub to shroud 2-D O-type grids on equally spaced surfaces of revolution. Numerical solution results for two turbine cascades are presented and compared with experimental data to demonstrate the accuracy of the analysis method.
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10

Hadzidakis, M., F. Karagiannis, P. Chaviaropoulos, and K. D. Papailiou. "Unsteady Euler Calculations in 2-D Internal Aerodynamics With Introduced Vorticity." In ASME 1991 International Gas Turbine and Aeroengine Congress and Exposition. American Society of Mechanical Engineers, 1991. http://dx.doi.org/10.1115/91-gt-168.

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This paper presents an implicit finite difference algorithm which solves the unsteady Euler equations in two-dimensional ducts. The unsteady nature of the flow is due to the time dependent inflow and outflow boundary conditions, while the geometry does not change in time. The present work is based on the Helmholtz decomposition of the unsteady velocity field into a potential and a rotational part. Vorticity is introduced at the inlet by means of velocity, total enthalpy or even entropy slope. The presented results cover a wide range of reduced frequencies in the subsonic regime.
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Reports on the topic "Equations d' Euler"

1

Constantin, Petre. Note on Loss of Regularity for Solutions of the 3-D Incompressible Euler and Related Equations. Fort Belvoir, VA: Defense Technical Information Center, November 1985. http://dx.doi.org/10.21236/ada163632.

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