Finite difference methods for coupled flow interaction transport models.
Mcgee, Shelly, Seshaiyer, Padmanabhan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Mcgee, Shelly, Seshaiyer, Padmanabhan (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Li, Zhilin, Lubkin, Sharon R., Wan, Xiaohai (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Abedi, Jalal, Aliabadi, Shahrouz (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Lee, Swungho, Soni, Bharat K. (1997)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Alexiades, Vasilios, Hannoun, Noureddine, Mai, Tsun Zee (2003)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Malki, Mohammed Ouçamah Cherkaoui, Elkebir, Omari Alaoui (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Matania Ben-Artzi, Dalia Fishelov, Shlomo Trachtenberg (2001)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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We present a new methodology for the numerical resolution of the hydrodynamics of incompressible viscid newtonian fluids. It is based on the Navier-Stokes equations and we refer to it as the vorticity projection method. The method is robust enough to handle complex and convoluted configurations typical to the motion of biological structures in viscous fluids. Although the method is applicable to three dimensions, we address here in detail only the two dimensional case. We provide numerical...
Henri Paillère, Patrick Le Quéré, Catherine Weisman, Jan Vierendeels, Erik Dick, Malte Braack, Frédéric Dabbene, Alberto Beccantini, Etienne Studer, Thibaud Kloczko, Christophe Corre, Vincent Heuveline, Masoud Darbandi, Seyed Farid Hosseinizadeh (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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In the second part of the paper, we compare the solutions produced in the framework of the conference “Mathematical and numerical aspects of low Mach number flows” organized by INRIA and MAB in Porquerolles, June 2004, to the reference solutions described in Part 1. We make some recommendations on how to produce good quality solutions, and list a number of pitfalls to be avoided.
Ahmad, Faiz (2007)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Hashizume, Ken'ichi, Koyama, Tetsuya, Otani, Mitsuharu (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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Patrick Le Quéré, Catherine Weisman, Henri Paillère, Jan Vierendeels, Erik Dick, Roland Becker, Malte Braack, James Locke (2005)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
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There are very few reference solutions in the literature on non-Boussinesq natural convection flows. We propose here a test case problem which extends the well-known De Vahl Davis differentially heated square cavity problem to the case of large temperature differences for which the Boussinesq approximation is no longer valid. The paper is split in two parts: in this first part, we propose as yet unpublished reference solutions for cases characterized by a non-dimensional temperature...
El Alaoui Talibi, Mohamed, Tber, Moulay Hicham (2004)
Electronic Journal of Differential Equations (EJDE) [electronic only]
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