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1.

図書
図書
1. Low-gravity fluid dynamics and transport phenomena
edited by Jean N. Koster and Robert L. Sani
出版情報: Washington, DC : American Institute of Aeronautics and Astronautics, c1990  xx, 750 p. ; 24 cm
シリーズ名: Progress in astronautics and aeronautics ; v. 130
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2.

図書
図書
2. Advection-diffusion
P.M. Gresho, R.L. Sani ; in collaboration with M.S. Engelman
出版情報: Chichester : Wiley, 2000  xx, 445 p. ; 25 cm
シリーズ名: Incompressible flow and the finite element method ; v. 1
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目次情報: 続きを見る
Preface
Glossary of Abbreviations
Introduction / 1：
Incompressible Flow / 1.1：
The Finite Element Method / 1.3：
Incompressible Flow and the Finite Element Method / 1.4：
Overview of this Volume / 1.5：
Some Subjective Discussion / 1.6：
Why Finite Elements? Why Not Finite Volumes? / 1.7：
The Advection-Diffusion Equation / 2：
The Continuum Equation / 2.1：
The Finite Element Equations / 2.2：
Discretization of the Weak Form
Some Semi-Discrete Equations / 2.3：
Open Boundary Conditions (OBC's) / 2.4：
Some Non-Galerkin Results / 2.5：
Dispersion, Dissipation, Phase Speed, Group Velocity, Mesh Design, and Wiggles / 2.6：
Time Integration / 2.7：
Additional Numerical Examples / 2.8：
Advection Diffusion Matrices / Appendix 1 Some Element Matrices：
One-Dimensional Element Matrices / A.1.2：
Two-Dimensional Element Matrices / A.1.3：
Two Dimensional Control Volume Finite Element Matrices / A.1.4：
Viewpoint One / Appendix 2 Further Comparison of Finite Elements and Finite Volumes：
Viewpoint Two / A.2.3：
Scalar Projections / Appendix 3 Scalar Projections, Orthogonal and Not and Projection Methods：
References
Author Index
Subject Index
Preface
Glossary of Abbreviations
Introduction / 1：
3.

図書
図書
3. Incompressible flow and the finite element method : advection-diffusion and isothermal laminar flow
P. M. Gresho, R. L. Sani in collaboration with M. S. Engelman
出版情報: Chichester : Wiley, c1998  xx, 1021p ; 25cm
所蔵情報: loading…
目次情報: 続きを見る
Preface
Glossary of Abbreviations
Introduction / 1：
Incompressible Flow / 1.1：
The Finite Element Method / 1.3：
Incompressible Flow and the Finite Element Method / 1.4：
Overview of this Book; Some Subjective Discussion / 1.5：
Why Finite Elements? Why not Finite Volume? / 1.6：
The Advection-Diffusion Equation / 2：
The Continuum Equation / 2.1：
The Advective (Convective) Form / 2.1.1：
Dimensionless Forms and Limiting Cases of the Equation / 2.1.2：
The Divergence (Conservation) Form / 2.1.3：
Conservation Laws / 2.1.4：
Weak forms of PDE's/Natural Boundary Conditions / 2.1.5：
The Finite Element Equations/Discretization of the Weak Form / 2.2：
Advective Form / 2.2.1：
Divergence Form / 2.2.2：
An Absolutely Conserving Form / 2.2.3：
A Finite Difference Interpretation / 2.2.5：
A Control Volume FEM... / 2.2.6：
Some Semi-Discrete Equations / 2.3：
One Dimension / 2.3.1：
Two Dimensions with Bilinear Elements / 2.3.2：
Two Dimension with Biquadratic Elements / 2.3.3：
Two Dimensions with Serendipity Elements / 2.3.4：
Open Boundary Conditions (OBC's) / 2.4：
Two Dimensions / 2.4.1：
Some Non-Galerkin Results / 2.5：
The Lumped Mass Approximation / 2.5.1：
One-point Quadrature / 2.5.2：
Control Volume Finite Element (CVFEM) / 2.5.3：
The Group FEM/Product Approximation / 2.5.4：
The Petrov-Galerkin FEM / 2.5.5：
Dispersion, Dissipation, Phase Speed, Group Velocity, Mesh Design, and - Wiggles / 2.6：
Qualitative Discussion / 2.6.1：
Qualitative Discussion for some 1D Problems / 2.6.2：
Extension to 2D / 2.6.3：
Time Integration / 2.7：
Some Explicit ODE Methods / 2.7.1：
Application to Advection Diffusion (Scalar Transport) / 2.7.2：
Some Implicit ODE Methods / 2.7.3：
A Variable-Step Implicit Method for Advection-Diffusion / 2.7.4：
A Semi-Implicit Method / 2.7.5：
Dispersion (et al.) Errors for some Fully Discrete Methods / 2.7.6：
Concluding remarks and Suggestions / 2.7.8：
Additional Numerical Examples / 2.8：
Unstable ODE Examples / 2.8.1：
Advection-Diffusion of a Puff (Point Source) / 2.8.2：
The Rotating Cone - A Pure Advection Test Problem / 2.8.3：
The Navier-Stokes Equations / 3：
Notational Introduction / 3.1：
The Continuum, Equations (PDE's) / 3.2：
Alternate Forms of the Viscous Term / 3.3：
Stress-Divergence Form / 3.3.1：
Div-Curl Form / 3.3.2：
Curl Form / 3.3.3：
Alternate Forms of the Non-Linear Term / 3.4：
Rotational Form / 3.4.1：
Skew-Symmetric Form / 3.4.3：
A Symmetric Form / 3.4.4：
Derived Equations / 3.5：
The Pressure Poisson Equation (PPE) / 3.5.1：
The Vorticity Transport Equation / 3.5.2：
The Penalized Momentum Equation / 3.5.3：
Alternate Statements of the NS Equations / 3.6：
Velocity-Pressure in Divergence Form / 3.6.1：
Velocity-Pressure in Rotational Form / 3.6.2：
PPE Form / 3.6.3：
The Stream Function-Vorticity (-) / 3.6.4：
The Velocity-Vorticity Formulation / 3.6.5：
Other Formulations / 3.6.6：
Special Cases of Interest / 3.7：
Stokes Flow / 3.7.1：
Inviscid Flow / 3.7.2：
Potential Flow / 3.7.3：
Axisymmetric Flow / 3.7.4：
Boundary Conditions / 3.8：
u-P Equations / 3.8.1：
The Pressure Poisson Equation and Pressure Boundary Conditions / 3.8.2：
The Vorticity Transport Equation and Boundary Conditions on the Vorticity / 3.8.3：
Initial Conditions (and Well-Posedness) / 3.9：
The u-P Formulation / 3.9.1：
The PPE Formulation / 3.9.2：
Vorticity-Based Methods / 3.9.3：
Interim Summary / 3.10：
A Well-Posed IBVP for Incompressible Flow, and the Equivalence Theorem / 3.10.1：
Some Ill-Posed Problems / 3.10.2：
The Simplified PPE is also Ill-Posed / 3.10.3：
Fixing the SPPE and PPE Paradox / 3.10.4：
PPE Solutions that are not NSE Solutions / 3.10.5：
A Remark on the Penalty Method / 3.10.6：
Key Features of Incompressible Flow / 3.10.7：
Global Conservation Laws / 3.11：
Preface
Glossary of Abbreviations
Introduction / 1：
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