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