Universiẗat, Diss.--Paderborn, 1994.

Thesis (Ph. D.)--University of Washington, 1993. / Vita. Includes bibliographical references (leaves [106]-110).

Th. univ.--Math.--Paris 6, 1989. / Contient un choix de texte de divers auteurs en français et en anglais. 1989 d'après la déclaration de dépôt légal. Notes bibliogr.

Stuttgart, Univ., Studienarb., 2002.

Thesis (M.S.)--University of Toledo, 2010. / Typescript. "Submitted to the Graduate Faculty as partial fulfillment of the requirements for the Master of Science degree in Mechanical Engineering." "A thesis entitled"--at head of title. Title from title page of PDF document. Bibliography: p. 51-56.

Thesis (Ph.D.)--Hong Kong University of Science and Technology, 2007. / Includes bibliographical references (leaves 92-101). Also available in electronic version.

Dissertação (mestrado) - Universidade Federal de Santa Catarina, Centro Tecnologico / Made available in DSpace on 2016-01-08T21:43:50Z (GMT). No. of bitstreams: 1 108908.pdf: 11471875 bytes, checksum: 449720f2e77c215310f2d1ab688d540a (MD5) Previous issue date: 1997 / Esta dissertação descreve, analisa e implementa métodos iterativos da família do Gradiente Conjugado (GC), na solução de sistemas lineares resultantes da discretização das equações de Navier-Stokes (NS) e da equação da condução de calor em malhas não-estruturadas de Voronoi, utilizando o método dos volumes finitos. Descreve-se e adota-se três tipos de ordenações na malha computacional, avaliando o desempenho através de métodos iterativos. Apresenta-se algumas técnicas de pré-condicionamento e implementa-se três delas: diagonal, SSOR e por fatoração de Cholesky incompleta. Estas, aplicadas no método GC e analisadas de acordo com a distribuição dos autovalores. Na discretização das equações de NS são utilizadas três formas distintas de avaliação dos gradientes de pressão, validados no cálculo do escoamento laminar incompressível.

No description available.

The classical existence theorem for the steady Navier-Stokes equations, based on a bound for the solution's Dirichlet integral, provides little qualitative information about the solution. In particular, if a domain is unbounded, it is not evident that the solution will be unique even when the data are small. Inspired by the works of Odqvist for the interior problem and of Finn for the problem of flow past an obstacle, we give a potential theoretic construction of a solution of the steady Navier-Stokes equations in several domains with noncompact boundaries. We begin by studying a scalar quasilinear elliptic problem in a half space, which serves as a model problem for the development of some of the methods which are later applied to the Navier-Stokes equations. Then, we consider Navier-Stokes flow in a half space, modeling such phenomena as a jet emanating from a wall, with prescribed boundary values. The solution which is obtained decays like |x|⁻² at infinity and has a finite Dirichlet integral. Finally, we solve the problem of flow through an aperture in a wall between two half spaces, with a prescribed net flux through the aperture, or with a prescribed pressure drop between the two half spaces. A steady solution is constructed which decays like |x|⁻² at infinity. For small data, uniqueness is proven within the class of functions which decay like |x|⁻¹ at infinity and have finite Dirichlet integrals. / Science, Faculty of / Mathematics, Department of / Graduate

Orientador : Rakesh Kumar Bhatnagar / Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Científica / Made available in DSpace on 2018-07-15T11:45:11Z (GMT). No. of bitstreams: 1 Fiorentini_Dario_M.pdf: 1096751 bytes, checksum: a69fd372f29278812d49b77c6de88c5d (MD5) Previous issue date: 1980 / Resumo: Não informado / Abstract: Not informed / Mestrado / Mestre em Matemática Aplicada