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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.

Analysis of the multigrid method

Shah, Tasneem Mohammad January 1989 (has links)
No description available.

A spectral Lagrange-Galerkin method for periodic/non-periodic convection-dominated diffusion problems

Baker, M. D. January 1994 (has links)
No description available.

Fully implicit solution of the Navier-Stokes equations and its application to non-rectangular geometry by the use of orthogonal mesh generation /

Govenar, Robert Gerald January 1979 (has links)
No description available.

On the dynamics of Navier-stokes equations.

January 2008 (has links)
Duan, Qin. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (p. 45-51). / Abstracts in English and Chinese. / Abstract --- p.i / Acknowledgement --- p.ii / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Preliminaries --- p.9 / Chapter 3 --- Problem and main theorem --- p.15 / Chapter 3.1 --- Formulation of the problem --- p.15 / Chapter 3.2 --- Definition of weak solution and main theorem --- p.17 / Chapter 4 --- Existence and uniqueness of weak solution --- p.19 / Chapter 4.1 --- Some a priori estimates --- p.19 / Chapter 4.2 --- Uniqueness of weak solution --- p.35 / Chapter 5 --- Asymptotic behavior --- p.38 / Chapter 5.1 --- Large time behavior of total kinetic energy --- p.38 / Chapter 5.2 --- "Large time behavior of density p(x, t)" --- p.40 / Bibliography --- p.45

Some topics on compressible Navier-Stokes equations. / CUHK electronic theses & dissertations collection

January 2011 (has links)
Duan, Qin. / Thesis (Ph.D.)--Chinese University of Hong Kong, 2011. / Includes bibliographical references (leaves 141-150). / Electronic reproduction. Hong Kong : Chinese University of Hong Kong, [2012] System requirements: Adobe Acrobat Reader. Available via World Wide Web. / Abstract also in Chinese.

On block preconditioners for the incompressible Navier-Stokes equations

Yung, Hoi Yan, Ada., 翁凱欣. January 2010 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy

Finite element solvers and preconditioners for non-rotational and rotational Navier-Stokes equations

Tang, Sin-ting, 鄧倩婷 January 2013 (has links)
Navier-Stokes equations (NSE), the governing equations of incompressible ows, and rotational Navier-Stokes equations (RNSE), which model incompressible rotating ows, are of great importance in many industrial applications. In this thesis, several selected preconditioners for solving NSE are compared and analyzed. These preconditioners are then modified for applying to RNSE. Understanding the physics behind NSE and RNSE is essential when studying these two equations. The derivation of NSE from the law of conservation of mass and law of conservation of momentum is described. RNSE is obtained by changing the frame of reference of NSE to a rotational frame. The rotating effect leads to the extra Coriolis force term in RNSE. The equations are then scaled to dimensionless form to eliminate the effect of physical units. In practice, numerical solution of NSE instead of analytic solution is considered. To apply numerical solvers in this thesis, NSE is discretized by backward differentiation formula in time and finite element method in space. The non-linear term is linearized by extrapolation. The existence and uniqueness of the finite element solutions to NSE are shown in this thesis. Discretization and linearization result in a system of linear equations which is of saddle point type. Generalized minimum residual method (GMRES) is applied to solve the saddle point system so as to improve efficiency. GMRES is combined with preconditioning technique to enhance the convergence. In this thesis, three preconditioners, pressure convection-diffusion (PCD) [18], least squares commutator (LSC) [11] and relaxed dimensional factorization preconditioner (RDF) [4], for non-rotational problems are considered and investigated. The performance of preconditioners is compared in terms of time step dependency, mesh size dependency and Reynolds number (Re) dependency. It is found that PCD shows time step and mesh size independence for small Reynolds number (Re = 500). RDF is the most stable preconditioner among three preconditioners, but it costs slow convergence, which contrasts to the results in [4]. Preconditioners PCD, LSC and RDF are modi_ed to deal with the Coriolis force term in RNSE. Discrete projection method (DPM) [24], an algorithm designed for RNSE, is also considered. This algorithm can also be viewed as a preconditioned iterative method. The time step and Ekman number (Ek) dependency of modi_ed preconditioners and DPM are compared. The numerical results indicates that LSC is the best preconditioner against time step and Ek. DPM is only the second best although it is designed for RNSE. PCD is the worst preconditioner as it shows high Ek dependency. / published_or_final_version / Mathematics / Master / Master of Philosophy

Group analysis of the Navier-Stokes equations

Boisvert, Robert Eugene 05 1900 (has links)
No description available.

The effects of curvature and divergence on turbulent mixing layers

Johnson, A. E. January 1990 (has links)
No description available.

A numerical solution of the Navier-Stokes equation in a rectangular basin.

May, Robert January 1978 (has links) (PDF)
Thesis (Ph.D.) -- University of Adelaide, Department of Applied Mathematics, 1979.

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