Browsing by Subject "Galerkin methods"
Now showing items 1-10 of 10
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Conference Object
3-D flow of Herschel-Bulkley fluids
(ASME, 1998)The flow of Herschel-Bulkley fluids through a sudden 3-D square with expansion height ratio of 2:1 is studied numerically by solving the mass and momentum conservation equations along with a continuous constitutive relation. ...
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Article
Comparison of spectral and finite element methods applied to the study of the core-annular flow in an undulating tube
(2002)A Galerkin/finite element and a pseudo-spectral method, in conjunction with the primitive (velocity-pressure) and streamfunction-vorticity formulations, are tested for solving the two-phase flow in a tube, which has a ...
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Article
Flow development in compression of a finite amount of a Bingham plastic
(2007)The flow and shape evolution during the compression of a finite amount of a Bingham plastic is investigated by means of numerical simulations. The problem relates to the popular compression test used for the rheological ...
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Article
Flow development in compression of a finite amount of a Bingham plastic
(2007)The flow and shape evolution during the compression of a finite amount of a Bingham plastic is investigated by means of numerical simulations. The problem relates to the popular compression test used for the rheological ...
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Article
A Legendre spectral Galerkin method for the biharmonic Dirichlet problem
(2001)A Legendre spectral Galerkin method is presented for the solution of the biharmonic Dirichlet problem on a square. The solution and its Laplacian are approximated using the set of basis functions suggested by Shen, which ...
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Article
On the effects of using curved elements in the approximation of the Reissner-Mindlin plate by the p version of the finite element method
(2003)We consider the approximation of the Reissner-Mindlin plate model by the standard Galerkin p version finite element method. Under the assumption of sufficient smoothness on the solution, we illustrate that the method is ...
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Doctoral Thesis Open Access
The singular function boundary integral method for laplacian and biharmonic problems with boundary singularities
(Πανεπιστήμιο Κύπρου, Σχολή Θετικών και Εφαρμοσμένων Επιστημών / University of Cyprus, Faculty of Pure and Applied Sciences, 2004)Στη διατριβή αυτή αναπτύσσουμε την Μέθοδο Συνοριακού Ολοκληρώματος με Ιδιόμορφες Συναρτήσεις (ΜΣΟΙΣ) σε Λαπλασιανά και διαρμονικά προβλήματα με ιδιόμορφα συνοριακά σημεία. Τέτοια προβλήματα συναντώνται σε αρκετές φυσικές ...
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Article
Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method
(2005)A singular function boundary integral method (SFBIM) is proposed for solving biharmonic problems with boundary singularities. The method is applied to the Newtonian stick-slip flow problem. The streamfunction is approximated ...
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Article
Spectral element discretization of the circular driven cavity. Part IV: The Navier-Stokes equations
(2004)This paper deals with the spectral element discretization of the Navier-Stokes equations in a disk with discontinuous boundary data, which is known as the driven cavity problem. The numerical treatment does not involve any ...
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Article
Volume-averaging theory for the study of the mechanics of collagen networks
(2007)A multiscale methodology has been developed for modeling mechanical behavior of collagen fiber networks. The methodology addresses scale separation between the macroscopic, tissue-level scale and the microscopic, fiber-level ...