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An Immersed Interface Method for the Incompressible Navier-Stokes EquationsLe, Duc-Vinh, Khoo, Boo Cheong, Peraire, Jaime 01 1900 (has links)
We present an immersed interface algorithm for the incompressible Navier Stokes equations. The interface is represented by cubic splines which are interpolated through a set of Lagrangian control points. The position of the control points is implicitly updated using the fluid velocity. The forces that the interface exerts on the fluid are computed from the constitutive relation of the interface and are applied to the fluid through jumps in the pressure and jumps in the derivatives of pressure and velocity. A projection method is used to time advance the Navier-Stokes equations on a uniform cartesian mesh. The Poisson-like equations required for the implicit solution of the diffusive and pressure terms are solved using a fast Fourier transform algorithm. The position of the interface is updated implicitly using a quasi-Newton method (BFGS) within each timestep. Several examples are presented to illustrate the flexibility of the presented approach. / Singapore-MIT Alliance (SMA)
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Numerical simulation of compressible gas flow coupled to heat conduction in two space dimensionsKorneeva, Daria Y. 23 June 2011
The current thesis studies a model of two dimensional convection of an ideal gas in a rectangular domain having walls of finite thickness. The temperature outside of walls is considered constant. Heat exchange between walls and outside/inside air is computed using Newton's
law of cooling. Heat transfer inside walls is modelled with the heat equation. The mathematical model inside enclosure involves Navier-Stokes equations coupled with equation of state for gas. The model is numerically studied using the method of large particles. One of the main goals of the current thesis was to develop a software in C# language for numerical solution of the above-described model. Physically meaningful results, including stream lines and distribution of parameters of gas and temperature inside solid walls were obtained.
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Numerical simulation of compressible gas flow coupled to heat conduction in two space dimensionsKorneeva, Daria Y. 23 June 2011 (has links)
The current thesis studies a model of two dimensional convection of an ideal gas in a rectangular domain having walls of finite thickness. The temperature outside of walls is considered constant. Heat exchange between walls and outside/inside air is computed using Newton's
law of cooling. Heat transfer inside walls is modelled with the heat equation. The mathematical model inside enclosure involves Navier-Stokes equations coupled with equation of state for gas. The model is numerically studied using the method of large particles. One of the main goals of the current thesis was to develop a software in C# language for numerical solution of the above-described model. Physically meaningful results, including stream lines and distribution of parameters of gas and temperature inside solid walls were obtained.
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Asymptotic expansions of the regular solutions to the 3D Navier-Stokes equations and applications to the analysis of the helicityHoang, Luan Thach 29 August 2005 (has links)
A new construction of regular solutions to the three dimensional Navier{Stokes equa-
tions is introduced and applied to the study of their asymptotic expansions. This
construction and other Phragmen-Linderl??of type estimates are used to establish su??-
cient conditions for the convergence of those expansions. The construction also de??nes
a system of inhomogeneous di??erential equations, called the extended Navier{Stokes
equations, which turns out to have global solutions in suitably constructed normed
spaces. Moreover, in these spaces, the normal form of the Navier{Stokes equations
associated with the terms of the asymptotic expansions is a well-behaved in??nite
system of di??erential equations. An application of those asymptotic expansions of
regular solutions is the analysis of the helicity for large times. The dichotomy of the
helicity's asymptotic behavior is then established. Furthermore, the relations between
the helicity and the energy in several cases are described.
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Simulation numérique de la formation d'un dépôt de particules sur une surface poreuse application à la filtration d'arrêt /Noël, Franck Schmitz, Philippe. January 2006 (has links)
Reproduction de : Thèse de doctorat : Dynamique des fluides : Toulouse, INPT : 2006. / Titre provenant de l'écran-titre. Bibliogr. 65 réf.
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Problèmes elliptiques en domaines non bornés une approche dans les espaces de Sobolev avec poids /Bonzom, Florian Fabien Jean-Marc Amrouche, Cherif January 2008 (has links) (PDF)
Reproduction de : Thèse doctorat : Mathématiques appliquées : Pau : 2008. / Titre provenant de l'écran titre. Bibliographie.
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The PDE framework peano an environment for efficient flow simulationsNeckel, Tobias January 2009 (has links)
Zugl.: München, Techn. Univ., Diss., 2009
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Corrections to the tra[n]sverse force for superfluid vortices /Rhee, Sung Wu. January 2003 (has links)
Thesis (Ph. D.)--University of Washington, 2003. / Vita. Includes bibliographical references (leaves 73-77).
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The optimization of a dual foil flapping device /Paganucci, Craig J. January 2003 (has links) (PDF)
Thesis (M.S. in Aeronautical Engineering)--Naval Postgraduate School, September 2003. / Thesis advisor(s): Kevin D. Jones, Max F. Platzer. Includes bibliographical references (p. 55-56). Also available online.
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Study of the 'Poor Man's Navier Strokes' equation turbulence modelBible, Stewart Andrew. January 2003 (has links) (PDF)
Thesis--University of Kentucky (M.S.), 2003. / Title from document title page. Document formatted into pages; contains ix, 110 p. : ill. Includes abstract and vita. Includes bibliographical references (p. 99-109).
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