Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer

B.Q. Li

594 pages, parution le 31/12/2005

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Résumé

The discontinuous finite element method (also known as the discontinuous Galerkin method) embodies the advantages of both finite element and finite difference methods. It can be used in convection-dominant applications while maintaining geometric flexibility and higher local approximations throught the use of higher-order elements. Element-by element connection propagates the effect of boundary conditions and the local formulation obviates the need for global matrix assembly. All of this adds up to a method which is not unduly memory-intensive and uniquely useful for working with computational dynamics, heat transfer and fluid flow calculations.

Discontinuous Finite Elements in Fluid Dynamics and Heat Transfer offers its readers a systematic and practical introduction to the discontinuous finite element method. It moves from a brief review of the fundamental laws and equations governing thermal and fluid systems, through a discussion of different approaches to the formulation of discontinuous finite element solutions for boundary and initial value problems, to their applicaton in a variety of thermal-system and fluid-related problems, including:

heat conduction problems;
convection-dominant problems;
compressible and incompressible flows;
external radiation problems;
internal radiation and radiative transfer;
free- and moving-boundary problems;
micro- and nanoscale heat transfer and fluid flow;
thermal fluid flow under the influence of applied magnetic fields.

Mesh generation and adaptivity, parellelization algorithms and a priori and a posteriori error analysis are also introduced and explained, rounding out a comprehensive review of the subject.

Each chapter features worked examples and exercises illustrating situations ranging from simple benchmarks to practical engineering questions.

This textbook is written to form the foundations of senior undergraduate and graduate learning and also provides scientists, applied mathematicians and research engineers with a thorough treatment of basic concepts, specific techniques and methods for the use of discontinuous Galerkin methods in computational fluid dynamics and heat transfer applications.

Written for: Graduate and advanced undergraduate students in fluid dynamics, mechanical, aerospatial, chemical and civil engineering; physicists, applied mathematicians and research engineers in thermal systems and computational fluid dynamics

Sommaire

Discontinuous finite elements procedures
Shape functions and elemental calculations
Conduction heat transfer and potential flows
Convection-dominated problems
Incompressible flows
Compressible fluid flows
External radiative heat transfer
Radiative transfer in Participating media
Free and moving boundary problems
Micro and nano scale-fluid flow and heat transfer
Fluid flow and heat transfer in electromagnetic fields

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Springer
Auteur(s)	B.Q. Li
Parution	31/12/2005
Nb. de pages	594
Format	16 x 24
Couverture	Relié
Poids	990g
Intérieur	Noir et Blanc
EAN13	9781852339883
ISBN13	978-1-85233-988-3