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Cover Art
Author Pepper, Darrell W., author.

Title An introduction to finite element, boundary element, and meshless methods with applications to heat transfer and fluid flow / Darrell W. Pepper, University of Nevada Las Vegas, Alain J. Kassab, University of Central Florida, Eduardo A. Divo, Embry Riddle University.

Published New York, NY : ASME Press, [2014]


Location Call No. Status
 UniM ERC  532.05015182 PEPP    AVAILABLE
Physical description lxi, 269 pages : illustrations ; 27 cm
Bibliography Includes bibliographical references.
Contents Machine generated contents note: pt. I THE FINITE ELEMENT METHOD -- ch. 1 Introduction -- ch. 2 Governing Equations -- 2.1.Mass Conservation -- 2.2.Navier-Stokes -- 2.3.Energy Conservation -- 2.4.Mass Transport -- 2.5.Boundary Conditions -- ch. 3 The Finite Element Method -- 3.1.Error in Finite Element Approximation -- 3.2.One-Dimensional Elements -- 3.2.1.Linear Element -- 3.2.2.Quadratic and Higher Order Elements -- 3.3.Two-Dimensional Elements -- 3.3.1.Triangular Elements -- 3.3.2.Quadrilateral Elements -- 3.3.3.Isoparametric Elements -- 3.4.Three-Dimensional Elements -- 3.5.Quadrature -- 3.6.Reduced Integration -- 3.7.Time Dependence -- 3.7.1.The θ Method -- 3.7.2.Mass Lumping -- 3.8.Petrov-Galerkin Method -- 3.9.Taylor-Galerkin Method -- ch. 4 Mesh Generation -- 4.1.Mesh Generation Guidelines -- 4.2.Bandwidth -- 4.3.Adaptation -- 4.3.1.Mesh Regeneration -- 4.3.2.Element Subdivision -- 4.3.3.Adaptation Rules -- 4.3.4.Mesh Adaptation Example --
Contents note continued: ch. 5 Fluid Flow Applications -- 5.1.Constant-Density Flows -- 5.1.1.Mixed Formulation -- 5.1.2.Fractional Step Method -- 5.1.3.Penalty Function Formulation -- 5.1.4.Calculation of Pressure -- 5.1.5.Open Boundaries -- 5.2.Free Surface Flows -- 5.3.Flows in Rotating Systems -- 5.4.Isothermal Flow Past a Circular Cylinder -- 5.5.Turbulent Flow -- 5.5.1.Large Eddy Simulation (LES) -- 5.5.2.Subgrid-Scale (SGS) Modeling -- 5.6.Compressible Flow -- 5.6.1.Supersonic Flow Impinging on a Cylinder -- 5.6.2.Transonic Flow Through a Rectangular Nozzle -- ch. 6 List of Commercial Codes -- ch. 7 Conclusion -- References -- APPENDIX A -- Symbols -- Subscripts -- Superscripts -- APPENDIX B -- B.1.Matrix Equations and Solution Method -- B.2.Temporal Evolution of the Semi-Implicit Scheme -- B.2.1.Momentum -- B.2.2.Continuity -- B.2.3.Energy -- B.2.4.Turbulent Kinetic Energy and Specific Dissipation Rate (κ--ώ) -- B.2.5.Matrix Formulation -- References --
Contents note continued: pt. II THE BOUNDARY ELEMENT METHOD -- ch. 1 Introduction -- ch. 2 BEM Fundamentals -- 2.1.A Familiar Example: Green's Third Identity for Potential Problems -- 2.2.The 2D Heat Conduction Problem -- 2.3.Generating the Integral Equation: Weighting Function and Green's Second Identity -- 2.4.Analytical Solution: Green's Function Method and the Auxiliary Problem -- 2.5.Numerical Solution: The BEM and the Boundary Integral Equation -- Appendix A Derivation of the Green's Function for the 2D Problem in a Square -- Appendix B Derivation of the Green's Free Space (Fundamental) Solution to the Laplace Equation -- ch. 3 Numerical Implementation of the BEM -- 3.1.Two-Dimensional Boundary Elements -- 3.2.Three-Dimensional Boundary Elements -- 3.3.Adaptive Quadrature in 3D -- 3.4.Numerical Solution of the BEM Equations -- Appendix A Conjugate Gradient and GMRES MATHCAD Pseudo-Codes -- ch. 4 Steady Heat Conduction with Variable Heat Conductivity --
Contents note continued: 4.1.Nonlinear Thermal Conductivity -- 4.2.Anisotropic Heat Conductivity -- 4.3.Non-Homogenous Thermal Conductivity -- ch. 5 Heat Conduction in Media with Energy Generation -- 5.1.Special Form of Generation Leading to Contour Integrals -- 5.2.Use of Particular Solutions -- 5.3.The Dual Reciprocity Boundary Element Method -- ch. 6 Applications of the BEM to Heat Transfer and Inverse Problems -- 6.1.Axi-Symmetric Problems -- 6.2.Heat Conduction in Thin Plates and Extended Surfaces -- 6.3.Conjugate Heat Transfer -- 6.4.Large-Scale Heat Transfer -- 6.5.Non-Homogeneous Heat Conduction: Generalized BIE -- 6.6.Inverse Problems Applications of the BEM -- ch. 7 Conclusion -- References -- pt. III THE MESHLESS METHOD -- ch. 1 Introduction and Background -- ch. 2 Radial-Basis Function (RBF) Interpolation -- ch. 3 The Localized Collocation Meshless Method (LCMM) Framework -- ch. 4 The Moving Least-Squares (MLS) Smoothing Scheme --
Contents note continued: ch. 5 The Finite-Differencing Enhanced LCMM -- ch. 6 Upwinding Schemes -- 6.1.One-Dimensional LCMM Upwinding Test -- 6.2.Two-Dimensional LCMM Upwinding Test for an Inclined Wave -- 6.3.Two-Dimensional LCMM Upwinding Test for a Turning Wave -- ch. 7 Automatic Point Distribution -- ch. 8 Parallelization -- ch. 9 Applications -- 9.1.Incompressible Fluid Flow and Conjugate Heat Transfer -- 9.1.1.Decaying Vortex Flow -- 9.1.2.Lid-Driven Flow in a Square Cavity -- 9.1.3.Air Jet into a Square Cavity -- 9.1.4.Conjugate Heat Transfer between Parallel Plates -- 9.1.5.Conjugate Heat Transfer Flow over a Rectangular Obstruction -- 9.1.6.Conjugate Film-Cooling Heat Transfer -- 9.1.7.Flow over a Cylinder -- 9.1.8.Steady Blood Flow through a Femoral Bypass -- 9.1.9.Pulsatile Blood Flow through a Femoral Bypass -- 9.2.Natural Convection -- 9.2.1.Buoyancy-Driven Flow in a Square Cavity -- 9.2.2.Buoyancy-Driven Flow of Liquid Aluminum in a Rectangular Cavity --
Contents note continued: 9.3.Turbulent Fluid Flows -- 9.3.1.Turbulent Flow over a Flat Plate -- 9.3.2.Turbulent Flow over a Backward-Facing Step -- 9.4.Compressible Fluid Flows -- 9.4.1.Subsonic and Supersonic Smooth Expanding Diffuser -- 9.4.2.Characteristic Nozzle Flow -- 9.4.3.Subsonic and Supersonic Flow Past an Airfoil -- 9.4.4.Turbulent Wake Flow -- 9.5.Two-Phase Flow -- 9.5.1.Dam-Breaking Test of Two-Phase Flow Formulation -- 9.6.Solid Mechanics and Thermo-Elasticity -- 9.6.1.Cantilever Beam under Constant Distributed Load -- 9.6.2.Cortical Bone with Fixation Element under Bending Moment -- 9.7.Porous Media Flow and Poro-Elasticity -- 9.7.1.Rectangular Poro-Elastic Medium -- 9.7.2.Air Flow Coupled with Poro-Elastic Balloon -- 9.7.3.Coupled Tracheo-Bronchial Poro-Elastic Lung -- 9.7.4.Groundwater Flow through a Poro-Elastic Levee -- ch. 10 Conclusions.
Other author Kassab, A. (Alain J.), author.
Divo, E., author.
Subject Fluid dynamics -- Mathematical models.
Heat -- Transmission -- Mathematical models.
Finite element method.
Boundary element methods.
Meshfree methods (Numerical analysis)
ISBN 9780791860335