Computational heat transfer / Yogesh Jaluria, Kenneth E. Torrance.

By:

Jaluria, Yogesh [author.]

Contributor(s):

Torrance, K. E. (Kenneth E.), 1940-

Material type: Text

TextSeries: Series in computational methods in mechanics and thermal sciencesNew York : Taylor & Francis, 2003Edition: 2nd edDescription: xv, 544 p. : ill. ; 24 cmContent type:

text

Media type:

unmediated

Carrier type:

volume

ISBN:

1560324775
1560324783

Subject(s):

Heat -- Transmission -- Mathematics

DDC classification:

621.40220151 22 J.Y.C

LOC classification:

TJ260 .J35 2003

Online resources:

Contents:

Thermal Transport -- Mass Transfer and Fluid Flow -- Importance of Analytical and Experimental Methods -- Numerical Approach -- Basic Considerations in a Numerical Solution -- Mathematical Background -- Governing Equations -- Classification -- Representative Differential Equations from Heat Transfer and Fluid Flow -- Boundary and Initial Conditions -- Integral Forms -- Numerical Solution -- Basic Equations -- Different Approaches -- Finite Differences -- Direct Approximation Approach -- Polynomial Representation -- Taylor Series Approach and Accuracy -- Control Volume Approach and Conservation -- Numerical Considerations -- Total Truncation Error -- Discretization and Roundoff Errors -- Convergence -- Numerical Stability and the Equivalence Theorem -- Steady-State Diffusion -- Discretization -- Solution of Simultaneous Equations -- Iterative Methods -- Direct Methods -- Transient Diffusion -- Two-Level Time Discretization -- Matrix Stability Analysis -- Fourier Series Stability Analysis -- An Example of Numerical Instability -- Other Explicit and Implicit Schemes -- Finite Elements -- Discretization -- Interpolation Functions -- Integral Representations and Galerkin's Method -- Assembly -- Elements -- Condensation and Substructuring -- Practical Implementation -- Steady-State Diffusion -- Matrix Equations with Boundary Conditions -- One-Dimensional Diffusion -- Two-Dimensional Diffusion -- Typical FEM Solutions -- Transient Diffusion -- The Matrix System -- Finite Differences in Time -- Diagonalization.

Summary: Presents the computational approach for solving heat transfer and fluid flow problems. This book covers the finite differences, finite volume and finite element methods. It discusses the basic mathematical background for developing numerical schemes and the numerical modeling of complex practical systems.

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Includes bibliographical references and index.

Thermal Transport --
Mass Transfer and Fluid Flow --
Importance of Analytical and Experimental Methods --
Numerical Approach --
Basic Considerations in a Numerical Solution --
Mathematical Background --
Governing Equations --
Classification --
Representative Differential Equations from Heat Transfer and Fluid Flow --
Boundary and Initial Conditions --
Integral Forms --
Numerical Solution --
Basic Equations --
Different Approaches --
Finite Differences --
Direct Approximation Approach --
Polynomial Representation --
Taylor Series Approach and Accuracy --
Control Volume Approach and Conservation --
Numerical Considerations --
Total Truncation Error --
Discretization and Roundoff Errors --
Convergence --
Numerical Stability and the Equivalence Theorem --
Steady-State Diffusion --
Discretization --
Solution of Simultaneous Equations --
Iterative Methods --
Direct Methods --
Transient Diffusion --
Two-Level Time Discretization --
Matrix Stability Analysis --
Fourier Series Stability Analysis --
An Example of Numerical Instability --
Other Explicit and Implicit Schemes --
Finite Elements --
Discretization --
Interpolation Functions --
Integral Representations and Galerkin's Method --
Assembly --
Elements --
Condensation and Substructuring --
Practical Implementation --
Steady-State Diffusion --
Matrix Equations with Boundary Conditions --
One-Dimensional Diffusion --
Two-Dimensional Diffusion --
Typical FEM Solutions --
Transient Diffusion --
The Matrix System --
Finite Differences in Time --
Diagonalization.

Presents the computational approach for solving heat transfer and fluid flow problems. This book covers the finite differences, finite volume and finite element methods. It discusses the basic mathematical background for developing numerical schemes and the numerical modeling of complex practical systems.

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