FEMLAB. User's Guide and Introduction

User’s Guide and Introduction......Page 7
Preface......Page 8
Introduction......Page 11
What is FEMLAB?......Page 12
The FEMLAB Environment......Page 14
The FEMLAB Documentation Set......Page 16
Optional Modules for Specific Disciplines......Page 18
New Features in FEMLAB 2.2......Page 22
New Features in FEMLAB 2.3......Page 23
New Features in Chemical Engineering Module 2.1......Page 25
New Features in Chemical Engineering Module 2.3......Page 26
New Features in Electromagnetics Module 2.0......Page 27
New Features in Electromagnetics Module 2.3......Page 28
New Features in Structural Mechanics Module 2.3......Page 30
Forced and Free Convection Heat Transfer......Page 32
Advanced Postprocessing......Page 50
Boundary and PDE Coefficient Views......Page 55
Model M-files......Page 57
Time-dependent Simulation......Page 60
The Model Navigator......Page 69
New Page......Page 70
Model Library Page......Page 71
User Models Page......Page 74
Preferences Page......Page 75
The FEMLAB Graphical User Interface......Page 77
The Menus......Page 78
The Toolbars......Page 80
The GUI Modes......Page 84
Display Additional Information......Page 86
The FEMLAB Data Formats......Page 87
The 3D Graphical User Interface......Page 88
Visualization in 3D......Page 92
The 3D View......Page 98
Object Selection Methods in 3D......Page 101
Suppression of Objects in 3D......Page 112
Style Conventions for the Model Descriptions......Page 114
Thermo-Electric Heating in a Bus Bar......Page 115
Thermo-Electric Heating in a Bus Bar with Multiphysics......Page 144
Controlling Temperature, Exporting to Simulink®......Page 159
Geometry Modeling......Page 176
Creating a 2D Geometry Model......Page 177
Creating a 3D Geometry Model......Page 192
Creating a 1D Geometry Model......Page 213
Importing CAD Models......Page 215
Image and MRI Import......Page 226
Spline Interpolation for Creating Geometry Objects......Page 231
Surface Interpolation......Page 234
Insertion of Points in Geometry Models......Page 238
Parameterization of Curves and Faces......Page 241
Associative Geometry......Page 244
The Application Modes......Page 245
The Physics Modes......Page 246
Heat Transfer......Page 249
Diffusion......Page 252
Electromagnetics......Page 254
Structural Mechanics......Page 270
Fluid Mechanics......Page 277
Coupling Variables......Page 282
Scalar Couplings......Page 283
Extrusion Couplings......Page 286
Projection Couplings......Page 289
Sparsity of Jacobian......Page 291
Non-Local Dirichlet Boundary conditions......Page 292
Interpolation of Measured Material Properties......Page 293
The FEM Structure......Page 307
The FEMLAB Functions......Page 309
Example: Solving Poisson’s Equation......Page 311
The Application Structure......Page 320
Example: Thermo-Electric Heating......Page 325
Advanced Visualization and High-Resolution Images......Page 335
Hints and Suggestions for Using the Programming Language......Page 340
Overview of PDE Models......Page 342
Interpreting PDE Coefficients......Page 354
Classical PDEs......Page 355
Expressions in Dialog Boxes......Page 356
Variable Classification and Geometric Scope......Page 357
Geometric Variables......Page 358
Field Variables......Page 361
Variables for PDEs in Coefficient Form......Page 362
Variables for PDEs in General Form......Page 372
Weak Form Meta Variables......Page 378
Variable Name Suffixes For Multiphysics......Page 380
Special Variables......Page 381
Tubular Reactor......Page 384
Cylindrical Tubular Reactor with Cooling......Page 391
Multiphysics Modeling Approaches......Page 400
Scaling of the Geometry......Page 401
Scaling of the Variables and Equations......Page 403
Weak Constraints, Their Uses and Limitations......Page 404
Accurate Flux Computation......Page 408
Using Weak Coefficients or the Weak Modes......Page 410
Solver Types......Page 412
Which Models are Nonlinear?......Page 413
Selecting Iterative Solver......Page 414
Tuning the Parameters to the Iterative Solvers......Page 415
Adaptive Meshing......Page 417
INDEX......Page 419