![]() | FlexPDE 6 Help |
![]() | Getting Started |
![]() | Installation |
![]() | Starting FlexPDE |
![]() | FlexPDE Working Files |
![]() | The Main Menu Bar |
![]() | The File Menu |
![]() | The Controls Menu |
![]() | The Stop Menu |
![]() | The Tool Bar |
![]() | Editing Descriptor Files |
![]() | Domain Review |
![]() | While the Problem Runs |
![]() | When the Problem Finishes |
![]() | Viewing Saved Graphic Files |
![]() | Example Problems |
![]() | Registering FlexPDE |
![]() | The Register Dialog |
![]() | Internet Key Registration |
![]() | Dongle Registration |
![]() | Network Dongle Registration |
![]() | Software Key Registration |
![]() | User Guide |
![]() | Overview |
![]() | What Is FlexPDE? |
![]() | What Can FlexPDE Do? |
![]() | How Does It Do It? |
![]() | Who Can Use FlexPDE? |
![]() | What Does A Script Look Like? |
![]() | What About Boundary Conditions? |
![]() | Basic Usage |
![]() | How Do I Set Up My Problem? |
![]() | Problem Setup Guidelines |
![]() | Notation |
![]() | Variables and Equations |
![]() | Mapping the Domain |
![]() | An Example Problem |
![]() | Generating A Mesh |
![]() | Defining Material Parameters |
![]() | Setting the Boundary Conditions |
![]() | Requesting Graphical Output |
![]() | Putting It All Together |
![]() | Interpreting a Script |
![]() | Some Common Variations |
![]() | Controlling Accuracy |
![]() | Computing Integrals |
![]() | Reporting Numerical Results |
![]() | Summarizing Numerical Results |
![]() | Parameter Studies Using STAGES |
![]() | Cylindrical Geometry |
![]() | Integrals In Cylindrical Geometry |
![]() | A Cylindrical Example |
![]() | Time Dependence |
![]() | Bad Things To Do In Time Dependent Problems |
![]() | Eigenvalues and Modal Analysis |
![]() | The Eigenvalue Summary |
![]() | Addressing More Difficult Problems |
![]() | Nonlinear Coefficients and Equations |
![]() | Complications Associated with Nonlinear Problems |
![]() | Natural Boundary Conditions |
![]() | Some Typical Cases |
![]() | An Example of a Flux Boundary Condition |
![]() | Discontinuous Variables |
![]() | Contact Resistance |
![]() | Decoupling |
![]() | Using JUMP in problems with many variables |
![]() | Using FlexPDE in One-Dimensional Problems |
![]() | Using FlexPDE in Three-Dimensional Problems |
![]() | The Concept of Extrusion |
![]() | Extrusion Notation in FlexPDE |
![]() | Layering |
![]() | Setting Material Properties by Region and Layer |
![]() | Void Compartments |
![]() | Limited Regions |
![]() | Specifying Plots on Cut Planes |
![]() | The Complete 3D Canister |
![]() | Setting Boundary Conditions in 3D |
![]() | Shaped Layer Interfaces |
![]() | Surface-Generating Functions |
![]() | Integrals in Three Dimensions |
![]() | More Advanced Plot Controls |
![]() | Complex Variables |
![]() | The Time-Sinusoidal Heat |
![]() | Interpreting Time-Sinusoidal Results |
![]() | Vector Variables |
![]() | Curvilinear Coordinates |
![]() | Magnetic Vector Potential |
![]() | Variables Inactive in Some Regions |
![]() | A Chemical Beaker |
![]() | Moving Meshes |
![]() | Mesh Balancing |
![]() | The Pulsating Blob |
![]() | Controlling Mesh Density |
![]() | Post-processing with FlexPDE |
![]() | Exporting Data to Other Applications |
![]() | Importing Data from Other Applications |
![]() | Using ARRAYS and MATRICES |
![]() | Solving Nonlinear Problems |
![]() | Using Multiple Processors |
![]() | Running FlexPDE from the Command Line |
![]() | Running FlexPDE Without A Graphical Interface |
![]() | Getting Help |
![]() | Problem Descriptor Reference |
![]() | Introduction |
![]() | Preparing a Descriptor File |
![]() | File Names and Extensions |
![]() | Problem Descriptor Structure |
![]() | Problem Descriptor Format |
![]() | Case Sensitivity |
![]() | "Include" Files |
![]() | A Simple Example |
![]() | The Elements of a Descriptor |
![]() | Comments |
![]() | Reserved Words and Symbols |
![]() | Separators |
![]() | Literal Strings |
![]() | Numeric Constants |
![]() | Built-in Functions |
![]() | Analytic Functions |
![]() | Non-Analytic Functions |
![]() | Unit Functions |
![]() | String Functions |
![]() | The FIT Function |
![]() | The LUMP Function |
![]() | The RAMP Function |
![]() | The SAVE Function |
![]() | The SUM Function |
![]() | The SWAGE Function |
![]() | The VAL and EVAL functions |
![]() | Boundary Search Functions |
![]() | Operators |
![]() | Arithmetic Operators |
![]() | Complex Operators |
![]() | Differential Operators |
![]() | Integral Operators |
![]() | Time Integrals |
![]() | Line Integrals |
![]() | 2D Surface Integrals |
![]() | 3D Surface Integrals |
![]() | 2D Volume Integrals |
![]() | 3D Volume Integrals |
![]() | Relational Operators |
![]() | String Operators |
![]() | Vector Operators |
![]() | Tensor Operators |
![]() | Predefined Elements |
![]() | Expressions |
![]() | Repeated Text |
![]() | The Sections of a Descriptor |
![]() | Title |
![]() | Select |
![]() | Mesh Generation Controls |
![]() | Solution Controls |
![]() | Global Graphics Controls |
![]() | Coordinates |
![]() | Variables |
![]() | The THRESHOLD Clause |
![]() | Complex Variables |
![]() | Moving Meshes |
![]() | Variable Arrays |
![]() | Vector Variables |
![]() | Global Variables |
![]() | Definitions |
![]() | ARRAY Definitions |
![]() | MATRIX Definitions |
![]() | Function Definitions |
![]() | STAGED Definitions |
![]() | POINT Definitions |
![]() | TABLE Import Definitions |
![]() | The TABLE Input function |
![]() | The TABLEDEF input statement |
![]() | TABLE Modifiers |
![]() | TABLE File format |
![]() | TABULATE definitions |
![]() | TRANSFER Import Definitions |
![]() | TRANSFER File format |
![]() | The PASSIVE Modifier |
![]() | Mesh Control Parameters |
![]() | Initial Values |
![]() | Equations |
![]() | Association between Equations, Variables and Boundary Conditions |
![]() | Sequencing of Equations |
![]() | Modal Analysis and Associated Equations |
![]() | Moving Meshes |
![]() | Constraints |
![]() | Extrusion |
![]() | Boundaries |
![]() | Points |
![]() | Boundary Paths |
![]() | Regions |
![]() | Reassigning Regional Parameters |
![]() | Regions in One Dimension |
![]() | Regions in Three Dimensions |
![]() | Regional Parameter Values in 3D |
![]() | Limited Regions in 3D |
![]() | Empty Layers in 3D |
![]() | Excludes |
![]() | Features |
![]() | Node Points |
![]() | Ordering Regions |
![]() | Numbering Regions |
![]() | Fillets and Bevels |
![]() | Boundary Conditions |
![]() | Syntax of Boundary Condition Statements |
![]() | Point Boundary Conditions |
![]() | Boundary conditions in 1D |
![]() | Boundary Conditions in 3D |
![]() | Jump Boundaries |
![]() | Periodic Boundaries |
![]() | Complex and Vector Boundary Conditions |
![]() | Front |
![]() | Resolve |
![]() | Time |
![]() | Monitors and Plots |
![]() | Graphics Display and Data Export Specifications |
![]() | Graphic Display Modifiers |
![]() | Controlling the Plot Domain |
![]() | Reports |
![]() | The ERROR Variable |
![]() | Window Tiling |
![]() | Monitors in Steady State Problems |
![]() | Monitors and Plots in Time Dependent Problems |
![]() | Hardcopy |
![]() | Graphics Export |
![]() | Examples |
![]() | Histories |
![]() | End |
![]() | Batch Processing |
![]() | Electromagnetic Applications |
![]() | Introduction |
![]() | Finite Element Methods |
![]() | Principles |
![]() | Boundary Conditions |
![]() | Integration by Parts and Natural Boundary Conditions |
![]() | Adaptive Mesh Refinement |
![]() | Time Integration |
![]() | Summary |
![]() | Electrostatics |
![]() | Electrostatic Fields in 2D |
![]() | Electrostatics in 3D |
![]() | Capacitance per Unit Length in 2D Geometry |
![]() | Magnetostatics |
![]() | A Magnet Coil in 2D Cylindrical Coordinates |
![]() | Nonlinear Permeability in 2D |
![]() | Divergence Form |
![]() | Boundary Conditions |
![]() | Magnetic Materials in 3D |
![]() | Waveguides |
![]() | Homogeneous Waveguides |
![]() | TE and TM Modes |
![]() | Non-Homogeneous Waveguides |
![]() | Boundary Conditions |
![]() | Material Interfaces |
![]() | References |
![]() | Technical Notes |
![]() | Natural Boundary Conditions |
![]() | Solving Nonlinear Problems |
![]() | Eigenvalues and Modal Analysis |
![]() | Avoid Discontinuities! |
![]() | Importing DXF Files |
![]() | Extrusions in 3D |
![]() | Applications in Electromagnetics |
![]() | Smoothing Operators in PDE's |
![]() | 3D Mesh Generation |
![]() | Interpreting Error Estimates |
![]() | Coordinate Scaling |
![]() | Making Movies |
![]() | Converting from Version 4 to Version 5 |
![]() | Converting from Version 5 to Version 6 |
![]() | Sample Problems |
![]() | applications |
![]() | chemistry |
![]() | chemburn |
![]() | melting |
![]() | reaction |
![]() | control |
![]() | control_steady |
![]() | control_transient |
![]() | electricity |
![]() | 3d_capacitor |
![]() | 3d_capacitor_check |
![]() | 3d_dielectric |
![]() | capacitance |
![]() | dielectric |
![]() | fieldmap |
![]() | plate_capacitor |
![]() | space_charge |
![]() | fluids |
![]() | 1d_eulerian_shock |
![]() | 1d_lagrangian_shock |
![]() | 2d_eulerian_shock |
![]() | 2d_piston_movingmesh |
![]() | 3d_flowbox |
![]() | 3d_vector_flowbox |
![]() | airfoil |
![]() | black_oil |
![]() | buoyant+time |
![]() | buoyant |
![]() | channel |
![]() | contaminant_transport |
![]() | coupled_contaminant |
![]() | flowslab |
![]() | geoflow |
![]() | hyperbolic |
![]() | lowvisc |
![]() | swirl |
![]() | vector_swirl |
![]() | viscous |
![]() | groundwater |
![]() | porous |
![]() | richards |
![]() | water |
![]() | heatflow |
![]() | 1d_float_zone |
![]() | 3d_bricks+time |
![]() | 3d_bricks |
![]() | axisymmetric_heat |
![]() | float_zone |
![]() | heat_boundary |
![]() | radiation_flow |
![]() | radiative_boundary |
![]() | slider |
![]() | lasers |
![]() | laser_heatflow |
![]() | self_focus |
![]() | magnetism |
![]() | 3d_magnetron |
![]() | 3d_vector_magnetron |
![]() | helmholtz_coil |
![]() | magnet_coil |
![]() | permanent_magnet |
![]() | saturation |
![]() | vector_helmholtz_coil |
![]() | vector_magnet_coil |
![]() | misc |
![]() | diffusion |
![]() | minimal_surface |
![]() | surface_fit |
![]() | stress |
![]() | 3d_bimetal |
![]() | anisotropic_stress |
![]() | axisymmetric_stress |
![]() | bentbar |
![]() | elasticity |
![]() | fixed_plate |
![]() | free_plate |
![]() | harmonic |
![]() | prestube |
![]() | tension |
![]() | vibrate |
![]() | usage |
![]() | 2d_integrals |
![]() | fillet |
![]() | fit+weight |
![]() | function_definition |
![]() | ifthen |
![]() | lump |
![]() | polar_coordinates |
![]() | repeat |
![]() | save |
![]() | spacetime1 |
![]() | spacetime2 |
![]() | spline_boundary |
![]() | staged_geometry |
![]() | stages |
![]() | stage_vs |
![]() | standard_functions |
![]() | sum |
![]() | swage_pulse |
![]() | swage_test |
![]() | tabulate |
![]() | tintegral |
![]() | two_histories |
![]() | unit_functions |
![]() | vector_functions |
![]() | 1D |
![]() | 1d_cylinder |
![]() | 1d_cylinder_transient |
![]() | 1d_float_zone |
![]() | 1d_slab |
![]() | 1d_sphere |
![]() | 3D_domains |
![]() | 2d_sphere_in_cylinder |
![]() | 3d_box_in_sphere |
![]() | 3d_cocktail |
![]() | 3d_cylspec |
![]() | 3d_ellipsoid |
![]() | 3d_ellipsoid_shell |
![]() | 3d_extrusion_spec |
![]() | 3d_fillet |
![]() | 3d_helix_layered |
![]() | 3d_helix_wrapped |
![]() | 3d_integrals |
![]() | 3d_lenses |
![]() | 3d_limited_region |
![]() | 3d_pinchout |
![]() | 3d_planespec |
![]() | 3d_pyramid |
![]() | 3d_shell |
![]() | 3d_shells |
![]() | 3d_sphere |
![]() | 3d_spherebox |
![]() | 3d_spherespec |
![]() | 3d_spool |
![]() | 3d_thermocouple |
![]() | 3d_toggle |
![]() | 3d_torus |
![]() | 3d_torus_tube |
![]() | 3d_twist |
![]() | 3d_void |
![]() | regional_surfaces |
![]() | tabular_surfaces |
![]() | two_spheres |
![]() | twoz_direct |
![]() | twoz_export |
![]() | twoz_import |
![]() | twoz_planar |
![]() | two_spheres |
![]() | accuracy |
![]() | forever |
![]() | gaus1d |
![]() | gaus2d |
![]() | gaus3d |
![]() | sine1d |
![]() | sine2d |
![]() | sine3d |
![]() | arrays+matrices |
![]() | arrays |
![]() | array_boundary |
![]() | matrices |
![]() | matrix_boundary |
![]() | complex_variables |
![]() | complex+time |
![]() | complex_emw21 |
![]() | complex_variables |
![]() | sinusoidal_heat |
![]() | constraints |
![]() | 3d_constraint |
![]() | 3d_surf_constraint |
![]() | boundary_constraint |
![]() | constraint |
![]() | coordinate_scaling |
![]() | scaled_z |
![]() | unscaled_z |
![]() | discontinuous_variables |
![]() | 3d_contact |
![]() | 3d_contact_region |
![]() | contact_resistance_heating |
![]() | thermal_contact_resistance |
![]() | transient_contact_resistance_heating |
![]() | eigenvalues |
![]() | 3d_oildrum |
![]() | 3d_plate |
![]() | drumhead |
![]() | drumhole |
![]() | filledguide |
![]() | shiftguide |
![]() | vibar |
![]() | waveguide |
![]() | waveguide20 |
![]() | import-export |
![]() | 3d_mesh_export |
![]() | 3d_mesh_import |
![]() | 3d_post_processing |
![]() | 3d_surf_export |
![]() | blocktable |
![]() | export |
![]() | export_format |
![]() | export_history |
![]() | mesh_export |
![]() | mesh_import |
![]() | post_processing |
![]() | splinetable |
![]() | table |
![]() | tabledef |
![]() | table_export |
![]() | table_import |
![]() | transfer_export |
![]() | transfer_import |
![]() | mesh_control |
![]() | 3d_curvature |
![]() | boundary_density |
![]() | boundary_spacing |
![]() | front |
![]() | mesh_density |
![]() | mesh_spacing |
![]() | resolve |
![]() | moving_mesh |
![]() | 1d_stretchx |
![]() | 2d_Lagrangian_shock |
![]() | 2D_movepoint |
![]() | 2d_position_blob |
![]() | 2d_stretch_x |
![]() | 2d_stretch_xy |
![]() | 2d_velocity_blob |
![]() | 3d_position_blob |
![]() | 3d_velocity_blob |
![]() | ode |
![]() | linearode |
![]() | nonlinode |
![]() | second_order_time |
![]() | periodicity |
![]() | 3d_antiperiodic |
![]() | 3d_xperiodic |
![]() | 3d_zperiodic |
![]() | antiperiodic |
![]() | azimuthal_periodic |
![]() | periodic+time |
![]() | periodic |
![]() | two-way_periodic |
![]() | plotting |
![]() | 3d_ploton |
![]() | plot_on_grid |
![]() | plot_test |
![]() | print_test |
![]() | regional_variables |
![]() | regional_variables |
![]() | sequenced_equations |
![]() | theneq+time |
![]() | theneq |
![]() | stop+restart |
![]() | restart_export |
![]() | restart_import |
![]() | variable_arrays |
![]() | array_variables |
![]() | vector_variables |
![]() | vector+time |
![]() | vector_lowvisc |
![]() | vector_variables |
![]() | Release Notes |
![]() | Version 6 |
Copyright © 2017 PDE Solutions Inc.