Academic literature on the topic 'Limite incompressible'
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Journal articles on the topic "Limite incompressible":
Lions, Pierre-Louis, and Nader Masmoudi. "Une approche locale de la limite incompressible." Comptes Rendus de l'Académie des Sciences - Series I - Mathematics 329, no. 5 (September 1999): 387–92. http://dx.doi.org/10.1016/s0764-4442(00)88611-5.
Berry, Ray A., and Richard C. Martineau. "ICONE15-10278 EXAMINATION OF THE PCICE METHOD IN THE NEARLY INCOMPRESSIBLE, AS WELL AS STRICTLY INCOMPRESSIBLE, LIMITS." Proceedings of the International Conference on Nuclear Engineering (ICONE) 2007.15 (2007): _ICONE1510. http://dx.doi.org/10.1299/jsmeicone.2007.15._icone1510_137.
Howards, Hugh Nelson. "Limits of incompressible surfaces." Topology and its Applications 99, no. 1 (November 1999): 117–22. http://dx.doi.org/10.1016/s0166-8641(98)00083-2.
Feireisl, Eduard, Šárka Nečasová, and Yongzhong Sun. "Inviscid incompressible limits on expanding domains." Nonlinearity 27, no. 10 (September 5, 2014): 2465–77. http://dx.doi.org/10.1088/0951-7715/27/10/2465.
Miles, Christopher J., and Charles R. Doering. "Diffusion-limited mixing by incompressible flows." Nonlinearity 31, no. 5 (April 16, 2018): 2346–59. http://dx.doi.org/10.1088/1361-6544/aab1c8.
Caggio, Matteo, and Šárka Nečasová. "Inviscid incompressible limits for rotating fluids." Nonlinear Analysis 163 (November 2017): 1–18. http://dx.doi.org/10.1016/j.na.2017.07.002.
Wang, Jiawei. "Incompressible limit of nonisentropic Hookean elastodynamics." Journal of Mathematical Physics 63, no. 6 (June 1, 2022): 061506. http://dx.doi.org/10.1063/5.0080539.
Schochet, Steven. "The incompressible limit in nonlinear elasticity." Communications in Mathematical Physics 102, no. 2 (June 1985): 207–15. http://dx.doi.org/10.1007/bf01229377.
Druet, Pierre-Etienne. "Incompressible limit for a fluid mixture." Nonlinear Analysis: Real World Applications 72 (August 2023): 103859. http://dx.doi.org/10.1016/j.nonrwa.2023.103859.
Sideris, Thomas C., and Becca Thomases. "Global existence for three-dimensional incompressible isotropic elastodynamics via the incompressible limit." Communications on Pure and Applied Mathematics 58, no. 6 (2005): 750–88. http://dx.doi.org/10.1002/cpa.20049.
Dissertations / Theses on the topic "Limite incompressible":
Casalis, Grégoire. "Instabilites primaire et secondaire dans la couche limite laminaire pour un fluide incompressible." Paris 6, 1990. http://www.theses.fr/1990PA066068.
Walther, Steeve. "Sensibilité et contrôle optimal des ondes TS dans une couche limite incompressible de plaque plane." Toulouse 3, 2001. http://www.theses.fr/2001TOU30170.
Copie, Marie-Laurence. "Stabilité linéaire et faiblement non linéaire d'une couche limite pour un fluide incompressible avec l'approche PSE." Toulouse, ENSAE, 1996. http://www.theses.fr/1996ESAE0006.
Airiau, Christophe. "Stabilité linéaire et faiblement non linéaire d'une couche limite laminaire incompressible par un système d'équations parabolisé (PSE)." Toulouse, ENSAE, 1994. http://www.theses.fr/1994ESAE0023.
Cathalifaud, Patricia. "Etude de l'amplification de tourbillons longitudinaux, et contole de la perturbation optimale dans une couche limite incompressible." Toulouse 3, 2000. http://www.theses.fr/2000TOU30080.
Sharifi, Tashnizi Ebrahim. "Contribution à l'étude de la couche limite turbulente et de son décollement dans les diffuseurs plan et à symétrie de révolution." Valenciennes, 2000. https://ged.uphf.fr/nuxeo/site/esupversions/452fe014-da49-425a-85c0-c44ce149ed5a.
Bravin, Marco. "Dynamics of a viscous incompressible flow in presence of a rigid body and of an inviscid incompressible flow in presence of a source and a sink." Thesis, Bordeaux, 2019. http://www.theses.fr/2019BORD0192.
In this thesis, we investigate properties of incompressible flows that interact with a rigid body or a source and a sink. In the case of an incompressible viscous fluid that satisfies the Navier Stokes equations in a 2D bounded domain well-posedness of Leray-Hopf weak solutions is well-understood. Existence and uniqueness are proved. Moreover solutions are continuous in time with values in L 2 (Omega) and they satisfy the energy equality. Recently the problem of a rigid body moving in a viscous incompressible fluid modeled by the Navier-Stokes equations coupled with the Newton laws that prescribe the motion of the solid, was also tackled in the case where the no-slip boundary conditions were imposed. And the correspondent well-posedness result for Leray-Hopf type weak solutions was proved. In this manuscript we consider the case of the Navier-slip boundary conditions. In this setting, the existence result for the coupled system was proved by G'erard-Varet and Hillairet in 2014. Here, we prove that solutions are continuous in time, that they satisfy the energy equality and that they are unique. Moreover we show an existence result for weak solutions of a viscous incompressible fluid plus rigid body system in the case where the fluid velocity has an orthoradial part of infinite energy.For an inviscid incompressible fluid modelled by the Euler equations in a 2D bounded domain, the case where the fluid is allowed to enter and to exit from the boundary was tackled by Judovic who introduced some conditions which consist in prescribing the normal component of the velocity and the entering vorticity. In this manuscript we consider a bounded domain with two holes, one of them is a source which means that the fluid is allowed to enter in the domain and the other is a sink from where the fluid can exit. In particular we find the limiting equations satisfied by the fluid when the source and the sink shrink to two different points. The limiting system is characterized by a point source/sink and a point vortex in each of the two points where the holes shrunk
David, Noemi. "Incompressible limit and well-posedness of PDE models of tissue growth." Electronic Thesis or Diss., Sorbonne université, 2022. https://accesdistant.sorbonne-universite.fr/login?url=https://theses-intra.sorbonne-universite.fr/2022SORUS235.pdf.
Both compressible and incompressible porous medium models have been used in the literature to describe the mechanical aspects of living tissues, and in particular of tumor growth. Using a stiff pressure law, it is possible to build a link between these two different representations. In the incompressible limit, compressible models generate free boundary problems of Hele-Shaw type where saturation holds in the moving domain. Our work aims at investigating the stiff pressure limit of reaction-advection-porous medium equations motivated by tumor development. Our first study concerns the analysis and numerical simulation of a model including the effect of nutrients. Then, a coupled system of equations describes the cell density and the nutrient concentration. For this reason, the derivation of the pressure equation in the stiff limit was an open problem for which the strong compactness of the pressure gradient is needed. To establish it, we use two new ideas: an L3-version of the celebrated Aronson-Bénilan estimate, also recently applied to related problems, and a sharp uniform L4-bound on the pressure gradient. We further investigate the sharpness of this bound through a finite difference upwind scheme, which we prove to be stable and asymptotic preserving. Our second study is centered around porous medium equations including convective effects. We are able to extend the techniques developed for the nutrient case, hence finding the complementarity relation on the limit pressure. Moreover, we provide an estimate of the convergence rate at the incompressible limit. Finally, we study a multi-species system. In particular, we account for phenotypic heterogeneity, including a structured variable into the problem. In this case, a cross-(degenerate)-diffusion system describes the evolution of the phenotypic distributions. Adapting methods recently developed in the context of two-species systems, we prove existence of weak solutions and we pass to the incompressible limit. Furthermore, we prove new regularity results on the total pressure, which is related to the total density by a power law of state
Evrard, Jean. "Étude des fluctuations de vitesse et de pression en régime laminaire et dans la région de transition en écoulement bidimensionnel incompressible." Toulouse, ENSAE, 1989. http://www.theses.fr/1989ESAE0008.
Derebail, Muralidhar Srikanth. "Instabilité de l'écoulement le long d'un cylindre semi-infini en rotation." Thesis, Lyon, 2016. http://www.theses.fr/2016LYSEC033/document.
This work concerns the steady, incompressible flow around a semi-infinite, rotating cylinder and its linear-stability properties. The effect of cylinder curvature and rotation on the stability of this flow is investigated in a systematic manner. Prior to studying its stability, we first compute the basic flow. At large Reynolds numbers, a boundary layer develops along the cylinder. The governing equations are obtained using a boundary-layer approximation to the Navier–Stokes equations. These equations contain two non-dimensional control parameters: the Reynolds number (Re) and the rotation rate (S), and are numerically solved to obtain the velocity and pressure profiles for a wide range of control parameters. The initially thin boundary layer grows in thickness with axial distance, becoming comparable and eventually larger than the cylinder radius. Above a threshold rotation rate, a centrifugal effect leads to the presence of a wall jet for a certain range of streamwise distances. This range widens as the rotation rate increases. Furthermore, the wall jet strengthens as S increases. Asymptotic analyses of the flow at large streamwise distances and at large rotation rates are presented. A linear stability analysis of the above flow is carried out using a local-flow approximation. Upon normal-mode decomposition, the perturbation equations are transformed to an eigenvalue problem in complex frequency (ω). The problem depends on five non-dimensional parameters: Re, S, scaled streamwise direction (Z), streamwise wavenumber (α) and azimuthal wavenumber m. The stability equations are numerically solved to investigate the unstable regions in parameter space. It is found that small amounts of rotation have strong effects on flow stability. Strong destabilization by small rotation is associated with the presence of a nearly neutral mode of the non-rotating cylinder, which becomes unstable at small S. This is further quantified using smallS perturbation theory. In the absence of rotation, the flow is stable for all Re below 1060, and for Z above 0.81. However, in the presence of small rotation, the instability becomes unconstrained by a minimum Re or a threshold in Z. The critical curves in the (Z, Re) plane are computed for a wide range of S and the consequences for stability of the flow described. Finally, a large-Z asymptotic expansion of the critical Reynolds number is obtained
Books on the topic "Limite incompressible":
Turkel, Eli. Preconditioning and the limit to the incompressible flow equations. Hampton, Va: Institute for Computer Applications in Science and Engineering, 1993.
Xu, Kun. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Hampton, Va: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.
Shiu-Hong, Lui, and Institute for Computer Applications in Science and Engineering., eds. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.
Shiu-Hong, Lui, and Institute for Computer Applications in Science and Engineering., eds. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.
Shiu-Hong, Lui, and Institute for Computer Applications in Science and Engineering., eds. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.
Shiu-Hong, Lui, and Institute for Computer Applications in Science and Engineering., eds. Rayleigh-Beńard simulation using gas-kinetic BGK scheme in the incompressible limit. Hampton, VA: Institute for Computer Applications in Science and Engineering, NASA Langley Research Center, 1998.
Preconditioning and the limit to the incompressible flow equations. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1993.
Rajeev, S. G. The Navier–Stokes Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0003.
Rajeev, S. G. Ideal Fluid Flows. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0004.
Rajeev, S. G. Euler’s Equations. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198805021.003.0002.
Book chapters on the topic "Limite incompressible":
Saint-Raymond, Laure. "The incompressible Euler limit." In Lecture Notes in Mathematics, 1–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92847-8_5.
Saint-Raymond, Laure. "The incompressible Navier-Stokes limit." In Lecture Notes in Mathematics, 1–42. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-540-92847-8_4.
Masmoudi, Nader. "Asymptotic Problems and Compressible-Incompressible Limit." In Advances in Mathematical Fluid Mechanics, 119–58. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/978-3-642-57308-8_4.
Zeytounian, Radyadour Kh. "Incompressible Limit: Low Mach Number Asymptotics." In Theory and Applications of Viscous Fluid Flows, 165–89. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-662-10447-7_7.
Dreher, Michael. "Incompressible Limits for Generalisations to Symmetrisable Systems." In Trends in Mathematics, 129–51. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-10937-0_4.
Santos, Lisa. "Variational Limit of Compressible to Incompressible Fluid." In Energy Methods in Continuum Mechanics, 126–44. Dordrecht: Springer Netherlands, 1996. http://dx.doi.org/10.1007/978-94-009-0337-1_11.
Hafez, M. "On the Incompressible Limit of Compressible Fluid Flow." In Computational Fluid Dynamics for the 21st Century, 255–72. Berlin, Heidelberg: Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-540-44959-1_16.
Kollmann, Wolfgang. "The Limit of Infinite Reynolds Number for Incompressible Fluids." In Navier-Stokes Turbulence, 359–80. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-31869-7_22.
Kollmann, Wolfgang. "The Limit of Infinite Reynolds Number for Incompressible Fluids." In Navier-Stokes Turbulence, 383–404. Cham: Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-59578-3_24.
Beirão da Veiga, Hugo. "On the incompressible limit of the compressible Navier-Stokes equations." In Calculus of Variations and Partial Differential Equations, 11–22. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082881.
Conference papers on the topic "Limite incompressible":
Rossow, Cord. "Extension of a Compressible Code Towards the Incompressible Limit." In 41st Aerospace Sciences Meeting and Exhibit. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2003. http://dx.doi.org/10.2514/6.2003-432.
Durmaz, Seher, and Metin Kaya. "Limit Cycle Oscillations of Swept-back Wings In an Incompressible Flow." In 53rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
20th AIAA/ASME/AHS Adaptive Structures Conference
14th AIAA. Reston, Virigina: American Institute of Aeronautics and Astronautics, 2012. http://dx.doi.org/10.2514/6.2012-1975.
Kuhlcw, B., G. Mahler, and R. Tepe. "Resolution Limits of an Imaging System with Incompressible Deformable Spatial Light Modulators." In Spatial Light Modulators and Applications. Washington, D.C.: Optica Publishing Group, 1988. http://dx.doi.org/10.1364/slma.1988.thb4.
Caggio, M., B. Ducomet, Š. Nečasová, and T. Tang. "On the Problem of Singular Limit." In Topical Problems of Fluid Mechanics 2023. Institute of Thermomechanics of the Czech Academy of Sciences; CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics, 2023. http://dx.doi.org/10.14311/tpfm.2023.002.
Segrilo, Leonardo M., and Maria Laura Martins-Costa. "Forced Convection in a Channel Limited by Permeable Boundaries." In ASME 2001 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2001. http://dx.doi.org/10.1115/imece2001/htd-24153.
Tadjfar, M., T. Yamaguchi, and R. Himeno. "Single-Wave Peristalsis." In ASME 2000 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2000. http://dx.doi.org/10.1115/imece2000-2103.
Sigrist, Jean Franc¸ois, Christian Laine, Dominique Lemoine, and Bernard Peseux. "Choice and Limits of a Fluid Model for the Numerical Study in Dynamic Fluid Structure Interaction Problems." In ASME 2003 Pressure Vessels and Piping Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/pvp2003-1820.
Kataoka, Shunji, Hiroshi Kawai, Satsuki Minami, and Shinobu Yoshimura. "Parallel Analysis of Incompressible Flow and Structure Interaction Using Partitioned Iterative Method." In ASME 2012 Pressure Vessels and Piping Conference. American Society of Mechanical Engineers, 2012. http://dx.doi.org/10.1115/pvp2012-78633.
Hertel, Charlotte, Christoph Bode, Dragan Kožulović, and Tim Schneider. "Investigations on Aerodynamic Loading Limits of Subsonic Compressor Tandem Cascades: Midspan Flow." In ASME 2013 International Mechanical Engineering Congress and Exposition. American Society of Mechanical Engineers, 2013. http://dx.doi.org/10.1115/imece2013-64488.
Reinhardt, Hanna, Çetin Alanyalıoğlu, André Fischer, Claus Lahiri, and Christian Hasse. "A Hybrid, Runtime Coupled Incompressible CFD/CAA Method for Analysis of Thermoacoustic Instabilities." In ASME Turbo Expo 2022: Turbomachinery Technical Conference and Exposition. American Society of Mechanical Engineers, 2022. http://dx.doi.org/10.1115/gt2022-82515.