Result: Numerical simulation of steady Bingham flow through an eccentric annular cross-section by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods

Title:
Numerical simulation of steady Bingham flow through an eccentric annular cross-section by distributed Lagrange multiplier/fictitious domain and augmented Lagrangian methods
Authors:
WACHS, Anthony
Source:
Viscoplastic fluids: from theory to applicationJournal of non-newtonian fluid mechanics. 142(1-3):183-198
Publisher Information:
Amsterdam: Elsevier, 2007.
Publication Year:
2007
Physical Description:
print, 32 ref
Original Material:
INIST-CNRS
Subject Terms:
Mechanics acoustics, Mécanique et acoustique, Polymers, paint and wood industries, Polymères, industries des peintures et bois, Sciences exactes et technologie, Exact sciences and technology, Physique, Physics, Domaines classiques de la physique (y compris les applications), Fundamental areas of phenomenology (including applications), Mécanique des fluides, Fluid dynamics, Méthodes de calcul en mécanique des fluides, Computational methods in fluid dynamics, Dynamique des fluides non newtoniens, Non-newtonian fluid flows, Sciences appliquees, Applied sciences, Energie, Energy, Combustibles, Fuels, Pétrole et gaz. Produits pétroliers, Crude oil, natural gas and petroleum products, Recherche et production du pétrole, du gaz naturel, des schistes bitumineux et des sables asphaltiques, Prospecting and production of crude oil, natural gas, oil shales and tar sands, Forage, tubage. Préparation des puits à la production, Drilling. Casing. Preparing wells for production, Méthodes et équipements de forage. Mécanique des roches. Forage dirigé et horizontal, Drilling methods and equipments. Rocks mechanics. Directional and horizontal drilling, Algorithme, Algorithm, Algoritmo, Cimentation, Cementing, Cimentación, Condition aux limites, Boundary condition, Condiciones límites, Ecoulement axial, Axial flow, Flujo axial, Espace annulaire, Annular space, Espacio anular, Excentricité, Eccentricity, Excentricidad, Fluide Bingham, Bingham plastic, Fluido Bingham, Fluide viscoplastique, Viscoplastic fluid, Fluido viscoplástico, Forage, Drilling, Sondeo, Industrie gazière, Gas industry, Industria del gas, Industrie pétrolière, Oil industry, Industria petrolera, Modélisation, Modeling, Modelización, Multiplicateur Lagrange, Lagrange multiplier, Multiplicador Lagrange, Méthode élément fini, Finite element method, Método elemento finito, Simulation numérique, Numerical simulation, Simulación numérica, Augmented Lagrangians, Bingham model, Distributed Lagrange multiplier/fictitious domain method, Eccentric annular cross-section, Lagrange multipliers, Response surface methodology
Time:
4711, 4750
Document Type:
Conference Conference Paper
File Description:
text
Language:
English
Author Affiliations:
Fluid Mechanics Department, Institut Français du Pétrole, 1&4 Avenue de Bois Préau, 92852 Rueil Malmaison, France
ISSN:
0377-0257
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=18619581
Rights:
Copyright 2007 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Energy

Physics: fluid mechanics
Accession Number:
edscal.18619581
Database:
PASCAL Archive

Further Information

This paper deals with the numerical simulation of the uniaxial steady flow of a viscoplastic fluid through an eccentric annular cross-section. The situation considered here refers to mud flow in drilling operations or cement slurry flow in cementing process in the oil and gas industry. The rheological model employed is the classical isothermal Bingham model. The steady solution of the governing equations is obtained through a transient algorithm that allows to compute solutions at an imposed flow rate. Mathematical difficulties related to the Bingham model are overcome thanks to the use of a Lagrange multiplier and an augmented Lagrangian/Uzawa method. The inner cylinder is treated as a fictitious domain (FD) in which a zero velocity constraint is imposed. The velocity constraint is relaxed by the introduction of a distributed Lagrange multiplier (DLM). The governing equations are discretized using a finite element method with triangular elements. The resulting numerical method highlights strong and robust convergence properties. The use of the DLM/FD method enables to study the influence of the eccentricity very conveniently.