Memorial University DAI: Finite element solution of the two-dimensional incompressible Navier-Stokes equations with Coriolis force

advanced search

Digital Archives Initiative
Memorial University - Electronic Theses and Dissertations 3

menu off

add document to favorites : add page to favorites : reference url

back to results : previous : next

Search this object:

0 hit(s) :: previous hit : next hit

View:

previous page : next page

Document Description

Title	Finite element solution of the two-dimensional incompressible Navier-Stokes equations with Coriolis force
Author	Deacu, Daniel, 1968-
Description	Thesis (M.Sc.)--Memorial University of Newfoundland, 2002. Computer Science
Date	2002
Pagination	x, 101 leaves : ill. (some col.)
Subject	Finite element method; Navier-Stokes equations--Numerical solutions; Coriolis force; Ocean circulation--Computer simulation
Degree	M.Sc.
Degree Grantor	Memorial University of Newfoundland. Dept. of Computer Science
Discipline	Computer Science
Language	eng
Notes	Bibliography: leaves 98-101
Abstract	A finite-element-based numerical algorithm is developed to solve the two-dimensional incompressible Navier-Stokes equations with Coriolis force, which can be used to simulate the wind-driven barotropic ocean circulation on a beta-plane. The spatial discretization is performed via the standard Galerkin Finite Element Method, by using the classical isoparametric Taylor-Hood serendipity quadrilateral finite element. A variant of the Crank-Nicolson rule is employed for the temporal discretization, and the Picard iteration method deals with the nonlinearity of the advective terms. In an effort to remain faithful to the standard Galerkin Finite Element Method, the consistent mass matrix is used instead of the lumped mass matrix, and least-square best fits are calculated for the quantities derived in the postprocessing phase. The algorithm has been implemented into a program and successfully tested on three benchmark problems, flow past a cylinder, flow over a backward facing step, and mid-latitude wind-driven barotropic ocean circulation for an idealized flat-bottomed ocean.
Type	Text
Resource Type	Electronic thesis or dissertation
Format	Image/jpeg; Application/pdf
Source	Paper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries
Local Identifier	a1560861
Rights	The author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
Collection	Electronic Theses and Dissertations
Scanning Status	Completed
PDF File	(10.68 MB) -- http://collections.mun.ca/PDFs/theses/Deacu_Daniel.pdf
CONTENTdm file name	19993.cpd