- Hauptmenü-

Katalogdatenanzeige

¬The¬ Application of the Chebyshev-Spectral Method in Transport Phenomena

Kataloginformation Katalogdatensatz500175925 .

Kataloginformation
Feldname	Details
Vorliegende Sprache	eng
Hinweise auf parallele Ausgaben	382218078 Buchausg. u.d.T.: ‡Guo, Weidong: ¬The¬ application of the Chebyshev-spectral method in transport phenomena
ISBN	978-3-642-34087-1
Name	Guo, Weidong
Name	Labrosse, Gérard
Name ANZEIGE DER KETTE	Labrosse, Gérard
Name	Narayanan, Ranga
T I T E L	¬The¬ Application of the Chebyshev-Spectral Method in Transport Phenomena
Verlagsort	Berlin ; Heidelberg
Verlag	Springer
Erscheinungsjahr	2012
Erscheinungsjahr	2012
Umfang	Online-Ressource (XII, 229 p. 52 illus., 1 illus. in color, digital)
Reihe	Lecture Notes in Applied and Computational Mechanics ; 68
Reihe	Lecture notes in applied and computational mechanics
Band	68
Notiz / Fußnoten	Description based upon print version of record
Weiterer Inhalt	The Application of theChebyshev-Spectral Methodin Transport Phenomena; Preface; Contents; 1 An Introduction to the Book and a Road Map; 1.1 Introduction; 1.2 A Road Map; 2 An Introduction to the Spectral Method; 2.1 The Method; 2.1.1 The Chebyshev Gauss-Lobatto Collocation Differentiation Matrices; 2.1.2 Why We Use Non-uniform Grids; 2.1.3 Chebyshev Polynomials and the Pseudo-Spectrum; 2.1.4 Differentiation Matrices in the Pseudo-Spectral Space; 2.1.5 Gauss-Radau Collocation Differentiation Matrices; 2.1.6 Boundary Conditions; 2.2 What Lies Ahead; 2.3 Endnotes. 2.3.1 Accurate Evaluation of Definite Integrals2.3.2 Some Useful Relationships Involving the Chebyshev Polynomials; References; 3 Steady One-Dimensional (1D) Heat Conduction Problems; 3.1 One-Domain Problems; 3.1.1 An Inhomogeneous Problem with Dirichlet-Dirichlet (DD) Conditions; 3.1.2 An Inhomogeneous Problem with Neumann-Dirichlet (ND) Conditions; 3.1.3 An Inhomogeneous Problem with Neumann-Neumann (NN) Conditions; 3.1.4 Homogeneous Problems with Dirichlet and/or Neumann Conditions; 3.1.5 Robin Boundary Conditions; 3.1.6 Why We are Interested in Homogeneous Differential Problems. 3.1.7 Homogeneous Problems with Radial Coordinates3.2 Two-Medium/Two-Domain Problems; 3.2.1 Two-Medium Inhomogeneous Problem with Interface Conditions; 3.2.2 Two-Domain Inhomogeneous Problem and Numerical-Accuracy Considerations; 3.2.3 Homogeneous Problem with Interface Conditions; 3.3 Endnotes; 3.3.1 The Partial Inverse of A and Solvability of AU=F; 3.3.2 Transforming the Generalized Eigenvalue Problem into an Ordinary Eigenvalue Problem; 3.3.3 The Leading Eigenmodes and Non-leading Eigenmodes; 3.3.4 Ellipticity of an Operator; 3.3.5 Inhomogeneous Problem in Polar Coordinates. 3.3.6 Transforming the Two-Domain Coupled Inhomogeneous Problem into a Set of Uncoupled Problems and Extension to the Multi-Domain Case3.3.7 Transforming the Two-Domain Coupled Homogeneous Problem into an Ordinary Eigenvalue Problem; 3.3.8 The Distinction Between the Error and the Residual; 3.3.9 A Particular Caution When Solving Coupled Differential Problems; References; 4 Unsteady 1D Heat Conduction Problems; 4.1 An Inhomogeneous Problem with Neumann Conditions; 4.1.1 Continuous Problem; 4.1.2 Time Discretization; 4.1.3 Fully Discretized System; 4.1.4 Note on the Flux Solvability Condition. 4.2 An Inhomogeneous Problem with a Non-linear Source Term4.3 A 1D Convection-Diffusion Heat Equation; 4.4 Some Closing Thoughts on Time Marching; 4.5 Endnotes; 4.5.1 From Taylor Expansions to Time Discretization; 4.5.2 The Destiny of a Solution to a Transient Problem Whose Steady Counterpart is not Solvable; 4.5.3 Comment About the Accuracy of the Time Discretization Approach; 4.5.4 Time Integration can be Spectrally Accurate; References; 5 Steady Two-Dimensional (2D) Heat Conduction Problems; 5.1 One-Domain Problems; 5.1.1 Inhomogeneous Problem in Cartesian Coordinates. 5.1.2 Inhomogeneous Problems in (r, z) Cylindrical Coordinates
Titelhinweis	Buchausg. u.d.T.: ‡Guo, Weidong: ¬The¬ application of the Chebyshev-spectral method in transport phenomena
ISBN	ISBN 978-3-642-34088-8
Klassifikation	TGMB
	SCI065000
	*76-01
	76M22
	80A20
	621.4021
	530.138
	TJ265
	QC319.8-338.5
Kurzbeschreibung	Transport phenomena problems that occur in engineering and physics are often multi-dimensional and multi-phase in character. When taking recourse to numerical methods the spectral method is particularly useful and efficient. The book is meant principally to train students and non-specialists to use the spectral method for solving problems that model fluid flow in closed geometries with heat or mass transfer. To this aim the reader should bring a working knowledge of fluid mechanics and heat transfer and should be readily conversant with simple concepts of linear algebra including spectral decomposition of matrices as well as solvability conditions for inhomogeneous problems. The book is neither meant to supply a ready-to-use program that is all-purpose nor to go through all manners of mathematical proofs. The focus in this tutorial is on the use of the spectral methods for space discretization, because this is where most of the difficulty lies. While time dependent problems are also of great interest, time marching procedures are dealt with by briefly introducing and providing a simple, direct, and efficient method. Many examples are provided in the text as well as numerous exercises for each chapter. Several of the examples are attended by subtle points which the reader will face while working them out. Some of these points are deliberated upon in endnotes to the various chapters, others are touched upon in the book itself
1. Schlagwortkette	Transportprozess
	Spektralmethode
	Čebyšev-Polynome
SWB-Titel-Idn	378521713
Signatur	Springer E-Book
Bemerkungen	Elektronischer Volltext - Campuslizenz
Elektronische Adresse	$uhttp://dx.doi.org/10.1007/978-3-642-34088-8
Internetseite / Link	Volltext
Siehe auch	Inhaltsverzeichnis
Siehe auch	Inhaltstext
Siehe auch	Volltext
Siehe auch	Cover
Siehe auch	Inhaltstext

ISBD-Anzeige Katalogdatensatz500175925

Kategorien-Anzeige Katalogdatensatz500175925

Bände anzeigen Katalogdatensatz500175925

Titel zur Titelsammlung hinzufügen Katalogdatensatz500175925

Kataloginformation500175925 Datensatzanfang . Kataloginformation500175925 Seitenanfang .

Titel vormerken Katalogdatensatz500175925

Vollanzeige Katalogdaten

Auf diesem Bildschirm erhalten Sie Katalog- und Exemplarinformationen zum ausgewählten Titel.

Im Bereich Kataloginformation werden die bibliographischen Details angezeigt. Per Klick auf Hyperlink-Begriffe wie Schlagwörter, Autoren, Reihen, Körperschaften und Klassifikationen können Sie sich weitere Titel des gewählten Begriffes anzeigen lassen.

Der Bereich Exemplarinformationen enthält zum einen Angaben über den Standort und die Verfügbarkeit der Exemplare. Zum anderen haben Sie die Möglichkeit, ausgeliehene Exemplare vorzumerken oder Exemplare aus dem Magazin zu bestellen.