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Intro to Comsol Nc 2012
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Transcript of Intro to Comsol Nc 2012
1
Mina W. Nashed
Agenda
Day 1 Agenda • Introduction to COMSOL Multiphysics
• COMSOL Demonstraion
• Coffee Break
• Tutorial session: Getting started with COMSOL
• Parallel plate capacitor
• Thermal cube
• Stresses on a wrench
• Electrical heating and thermal stresses in a busbar
2
Day 2 Agenda • Background on Finite Element Analysis
• Advanced Meshing Techniques-
• Solver Sequence and settings
• Model of Day: Heat Sink
Day 3 Agenda • Results and Post Processing
• Advanced Structural Mechanics examples
– Elbow Bracket, different Force Analysis
– Elbow Bracket, Elasto-plastic Analysis
– Tube Connector
– Fluid Structure Interaction
• Headquarter in Stockholm.
• 16 offices in Europe, India and USA.
• 225+ employess.
• 14 000 licenses and 60 000 users.
World leader in multiphysics simulations
3
History Highlights
• PDE Toolbox in MATLAB in 1995
• FEMLAB in 1999
• COMSOL Multiphysics in 2005
• COMSOL Multiphysics 4.3 2012
COMSOL 3.5
Selling
MATLAB
PDE
Toobox
Coding
FEMLAB
FEMLAB 1.0
FEMLAB 2.0
(3D)
FEMLAB 3.0
(Standalone)
COMSOL 3.2
COMSOL 3.3
COMSOL 3.4 COMSOL 4.0
‘86 ‘95 ‘96 ‘99 ‘00 ‘03 ‘05 ‘06 ‘07 ‘08 ‘09
COMSOL 4.3
‘12
Turbulent modeling
Electronic
cooling
Passive
Fuel Cell
Stresses on blood
vessel Speaker systems
Power Inductors
4
COMSOL Multiphysics
• Modeling and Simulation of any Physical Phenomenon that can be described by Partial Differential Equations
• Finite element analysis – Single physics
– Multiphysics
• Flexible Graphical User Interface – Unlimited Multiphysics combination
– All steps in modeling procedure
– Material databases
– Mathematical tools
– Parameterization jobs
• Adaptable – Predefined Multiphysics
– User defined Multiphysics
– Non-linear equations
• PDE
• ODE and Algebraic differential equations
3D mesh of a power
transistor
Visualization of
temperature distribution
Piezoelectric button for elevators
Model just about any physics
• Traditional approach to modeling
– Acoustics
– Structural analysis
– Mass transport
– Electromagnetism
– Fluid dynamics
– Heat transfer
• Multiphysics
– Induction heating
– Acoustic-Structure interaction
– Non-isothermal fluids
– Joule heating with thermal expansion
– Fluid-Structure interaction
– User defined
5
COMSOL Multiphysics supports it all
Multiphysics example
Electric current Temperature distribution
Change in material properties
Joule heating
Thermal Expansion
6
COMSOL Multiphysics : A complete FEA simulation environment …and a single modeling procedure for all physics
• Select your Physics – Select the physics interface or combination of interfaces
• Create Geometry – Use the built-in CAD tools or import from external CAD software
• Specify your Physics – Specify material properties – Specify boundary conditions, sources and sinks
• Mesh – Create structured or unstructured meshes
• Solve – Stationary, transient, eigenfrequency, frequnecy response, and parametric analyses – Direct and iterative solvers
• Postprocess the Results – Visualize your results – Compute functions of the solution variables like integral, fluxes, forces etc.
COMSOL Multiphysics 4.3 Product Suite
7
Structural Analysis Module
COMSOL Products for Structural Analysis
• COMSOL Multiphysics – The COMSOL Multiphysics base product is required for all add-ons.
• Structural Mechanics Module
• Nonlinear Structural Materials Module – Available as add-on to the Structural Mechanics Module or MEMS Module.
• Geomechanics Module – Available as add-on to the Structural Mechanics.
• Acoustics Module
• MEMS Module
• Subsurface Flow Module
8
COMSOL Multiphysics 4.3 Product Suite
AutoCAD® and Inventor® are registered trademarks of Autodesk, Inc. LiveLink™ for AutoCAD® and LiveLink™ for Inventor® are not affiliated with, endorsed by, sponsored by, or supported by Autodesk, Inc.
and/or any of its affiliates and/or subsidiaries. CATIA® is a registered trademark of Dassault Systèmes S.A. or its affiliates or subsidiaries. SolidWorks® is a registered trademark of Dassault Systèmes
SolidWorks Corporation or its parent, affiliates, or subsidiaries. Creo™ is a trademark and Pro/ENGINEER® is a registered trademark of Parametric Technology Corporation or its subsidiaries in the U.S
and/or in other countries. MATLAB® is a registered trademark of The MathWorks, Inc.
Products with structural analysis capabilities
Physics Model Wizard
* Additional features with Nonlinear
Structural Materials and Geomechanics
Modules
** Subsurface Flow Module necessary
*** MEMS Module necessary
***
*
*
**
***
*
9
Acoustics Module
Acoustics Analyses
• Pressure Acoustics
• Acoustic-Structure Interaction
• Aeroacoustics
• Thermoacoustics
Brüel & Kjær 4134 microphone model (in model library update).
Vented loudspeaker model with 3D far-field response.
10
Physics Model Wizard
* Structural Mechanics Module
necessary
** Pipe Flow Module necessary
*
*
*
**
Applications
• Pressure Acoustics – Automotive industry
– Sound insulation
– Scattering problems
– Noise radiation problems
– Waveguide problems
– Bio-heating
– Non-linear acoustics for ultrasound (user defined to some extent)
Acoustic scattering tutorial model from the model library.
Bio heating of a human tissue sample by focused ultrasound.
11
Applications cont.
• Acoustic-Structure Interaction – All problems involving coupled elastic
waves and pressure waves
– Transducers (Sonars, Loudspeakers)
– Automotive industry
– Porous materials (Poroelastic waves interface)
• Aeoacoustics – Jet engine noise
– Fan noise propagation
– Noise propagation in external flows
Piezoacoustic Transducer: single row piezoacoustic transducer.
Flow Duct model of a jet engine.
Applications cont.
• Thermo-acoustics – Acoustics in small devices
• Mobile devices
• Transducers
• Microphones
• Hearing aids
– Damped vibrations of structures with small air gaps/slits
• Pipe Acoustics – sound propagation in elastic pipes in
– Only for propagating plane waves
– Is not suited for narrow pipes at low frequencies where thermal and viscous losses are important
Occluded ear canal simulator (acoustic 711 coupler). Geometry courtesy of Brüel & Kjær
Probe tube microphone model: acoustics in the probe tube with pipe acoustics coupled to 3D pressure acoustics model.
12
Structural Mechanics Module
Study Types and Space Dimesions
• Study Types – Stationary
– Eigenfrequency • Prestressed
– Transient • Direct and modal
– Frequency response • Direct and modal
• Prestressed
– Linear Buckling
– Parametric
– Geometric nonlinearity • Available as a study property
All study types and space dimensions are not available for certain Physics user interfaces.
• Space Dimensions – 3D Solid
– Axisymmetric plane strain solid
– 2D plane strain solid
– 2D plane stress solid
– Shell
– Membrane
– Plate
– Beam
– Truss
13
Built-in Constitutive Laws
• Isotropic elasticity
• Orthotropic elasticity
• Anisotropic elasticity
• Elasto-plasticity – Mises and Tresca yield criteria
– User defined yield criteria
• Hyperelasticity – Neo-Hookean
– Mooney-Rivlin
– Murnaghan
– User defined strain energy function
• Viscoelasticity – Prony series
Interactions
• Contact – 2D/3D continuum elements
– Statics and transient analyses
– Surface based approach
– Augmented Lagrange algorithm
• Kinematic constraints and joints – Extrusion and projection couplings useful to build up specific
constraints
– Global equations can also be used
– Rigid connector
14
Geomechanics Module
Geomechanics Module
• The Geomechanics Module is a specialized add-on to the Structural Mechanics Module aimed at modeling and simulating geotechnical applications.
• The Module features tailored interfaces to study plasticity, deformation, creep, and failure of soils and rocks, as well as their interaction with concrete and human-made structures.
• Also addressed: user-defined materials for advanced users
15
Applications
• Soil, rock modeling
• Slope stability
• Tunnels
• Embankments
• Nuclear waste installations
• Foundations
• Retaining structures/ Reinforcements
• Slabs
• Excavations
• Roads
Nonlinear Structural Materials Module
16
Nonlinear Structural Materials Module
• Released with COMSOL Multiphysics Version 4.3, May 2012
• Nonlinear material models for structural mechanics.
• Elastoplastic, hyperelastic, viscoplastic, and creep material models.
• Large strain plastic deformation
• New and improved models and dedicated documentation
Nonlinear Structural Materials Module
• Add-on to the Structural Mechanics Module or MEMS Module.
• A few of the listed material models were previously available in the Structural Mechanics and MEMS Modules.
Flattening of a pipe
with large strain
elastoplastic
deformation.
17
Nonlinear Structural Materials Module
• Applications: – Any structural analysis where
deformations are large enough or operating conditions are such that material nonlinearities become important.
Necking of a metal bar.
This example is a classical
benchmark for large strain
plastic deformation.
• Geometric nonlinearity – Finite rotation
– Large strains
– Stress stiffening
– Deformation dependent loads
• Materials – Elastoplasticity (metals or soils)
– Hyperelasticity (rubber and other elastomers)
– Creep
– Viscoplasticity
• Contact – Possibly with friction
Sources of nonlinearity
st
s
e
18
Nonlinear Structural Materials Module
• Creep Material Models
• Hyperelastic Material Models
• Elastoplastic Material Models
• Viscoplastic Material Models
Electromagnetics Modules AC/DC + RF
19
Types of Electromagnetic Modeling Static Low Frequency Transient High Frequency
0
t
E tsinE tE tsinE
Electric and magnetic
fields do not vary in time.
Fields vary
sinusoidally in time,
but there is negligible
radiation.
Fields vary arbitrarily
in time, radiation may
or may not be
significant. Objects
can be moving.
Fields vary
sinusoidally in time,
energy transfer is via
radiation.
EM simulation tools in COMSOL 4.1
• AC/DC Module
– Low frequency and statics
• Wave propagation neglected
– Electrical Circuits (SPICE)
• RF Module
– High frequency and wave propagation
– Electrical Circuits (SPICE)
• Core COMSOL Multiphysics
– Electrostatics and Stationary Electric Currents
• AC/DC Module offers more features
– Magnetostatics and frequency domain Magnetic Fields in 2D
• AC/DC Module offers 3D and more features
Eddy currents
20
– Components and Electromechanical devices
• Coils • Motors and Generators • Cables • Electromagnet, permanent magnets • Capacitors, Inductors and Resistors
– RF and Microwave Components
• Antennas • Waveguides and Transmission Lines • Microwave Heaters • Filters
– Optics and Photonics
• Optical Waveguides (Fibers) • Photonic Crystals
– Electromagnetic field simulations in general
AC/DC and RF Applications
AC/DC
RF
Low Frequency Modeling
• What is low frequency? – Low frequency when the electrical
device size is less than 0.1 x Wavelength
– The device does not “see” the direction of an electromagnetic wave but just a uniform time varying electric field
l
Electrical size
0.1 x l
21
AC/DC Module applications
Motors & Generators
Electronics
Machinery
Components
Inductive Heating
AC/DC Module, key features
• Automatic infinite elements – General free-space problems
• Support for rotating machinery – Automatic torque computations
• SPICE circuit import
• Single-Turn and Multi-Turn Coil Domain modeling features in 2D
• Port Sweeps
• Predefined multiphysics couplings – Inductive and Joule heating
22
RF Module applications
Antennas
Waveguides
Radiation Patterns Scattering
Microwave Heating
The RF Module, key features
• General material parameters – Complex functions of space, time, frequency, fields, etc
• Frequency sweeps
• Specialized boundary conditions – Absorbing boundaries, impedance boundaries, ...
• Far-field analysis
• Variational Port / S-parameter formulation – Multimode ports
– Hybrid-mode ports - Microstrips and Optical waveguides
• Transition boundary condition for metallic layers of arbitrary thickness – Thin layers can be modeled as boundaries
23
Pipe Flow Module
Overview
• The Pipe Flow module is an add-on to COMSOL Multiphysics, released in version 4.3
• Fluid flow, heat, and reacting flow in 2D and 3D pipe networks
• Acoustics and hydraulic transients, “Water Hammer” in 2D and 3D pipe networks
• Pipes are represented by 1D curves, for computational efficiency. No need to resolve full flow profiles.
Autothermal chemical reactor for
synthesis of phtalic anhydride
24
Overview
• Built in friction factor correlations for pressure drop and velocity calculations
• Built in pipe cross-sections, fittings, valves, pumps, and more
• Viscous heating of high-shear fluids
• Automatic handling of laminar and turbulent flow
• Newtonian and non-Newtonian flow, including Bingham plastic flow
• Automatic heat transfer coupling between pipe and external surroundings, for air convection cooling, solids heat conduction
• Built-in Nusselt correlations for heat transfer coefficient calculations
• Reacting flow, with longitudinal dispersion models
Optimization of oil pipeline insulation
Capabilites
• Fully developed laminar or turbulent pipe flow fields are reduced to a 1D representation with cross section averaged velocity and pressure.
• The Darcy friction factor fD depends on Reynolds number, wall roughness, and pipe shape and size. Built-in empirical data for fD. (Laminar flow: fD= 64/Re).
• Longitudinal dispersion models are built in for mass transport
u u
25
Capabilites
• Correlations for sudden pressure change for several common building blocks. Included correlations for loss coefficients Ki
– 90° bend – 45° bend – T-junction – Sudden contraction – Gradual contraction – Sudden expansion – Gradual expansion
– Globe valve
– Gate valve
– Angle valve
– Ball valve
– Butterfly valve
– Swing check
– Pumps
Capabilites, cont.
• Heat transfer coupling to surroundings – Automatic calculation of heat transfer coefficients for internal heat transfer
coefficients, wall layer resistance and external heat transfer.
Cooling pipes (color is temperature,
slice plot of surroundings )
Free convection Forced convection Solid conduction
26
Interfaces for subsurface flow- Overview
• Single phase flow – Laminar vs turbulence
• Porous media flow – Darcy
– Brinkmann
• Two phase flow – Free flow
– Porous flow
• Multiphysics capabilities – Non-isothermal flows
– Fluid Structure interaction
– Poroelasticity
– Fluid flow and mass transport
The MEMS Module
27
MEMS = Micro Electro Mechanical System
• And possibly more physics.
Applications
• The MEMS Module focuses on the following applications:
– Actuators
• Design of a device that is used to move other parts in the micro scale
– Sensors
• Mechanical sensors like accelerometers
– Piezoelectric effects
28
Heat Transfer Analysis
Heat Transfer Modeling
Conduction
Heat transfer by
translation of solids Convection in fluids Radiation
Bioheating
29
Multiphysics couplings
Joule Heating
Conjugate Heat
Transfer Phase change Inductive heating
Thermal expansion
Heat transfer in solids
• Isotropic or anisotropic, linear or non linear materials
• Heat transfer in thin shells
• Thin thermally resistive layers – single layer
– multiple layers structure
• Heat transfer by translation of solids
• Heat source, user defined or from other physics
Temperature of a disc brake of a car in
brake-and-release sequence
30
Heat transfer in fluids
• Laminar and turbulent flows – Spalart-Allmaras model
– Low Reynolds, k-e model
– k-e model
– k- model
• Viscous heating
• Pressure work
• Fluid / solid interface – with temperature continuity
– with boundary layer approximation
• Dedicated boundary conditions – Inflow heat flux,
– Outflow
– Open boundary
Non-isothermal flow and heat transfer
physics list in COMSOL Multiphysics
Convective cooling
• Conjugate heat transfer capabilities – Natural convection
– Forced convection
– Laminar and turbulent regimes
• Predefined library of heat transfer coefficients based on Nusselt correlations
• Fan boundary condition – Laminar regime
– Inlet, outlet, interior boundary Temperature and velocity profile
around a vacuum flask cooled by
natural convection using low k-e
turbulence model
31
Pipe flow
• Heat transfer in pipes
• Non-isothermal flow in pipes – automatic transition between laminar
and turbulent flow
• Bidirectional couplings between pipes and 2D or 3D domains
• Pipe properties – cross-sections
– surface roughness
Cooling of a steering wheel plastic mold
including pipe flow and heat transfer in
cooling channels.
Heat Transfer in porous media
• Porous media flow coupled to heat transfer in the solid matrix and pore fluid
• Geothermal heating
• Immobile fluids
• Thermal dispersion
• Volume averaging of material properties
Velocity (left) and temperature (right)
profile due to buoyancy in a porous media
32
Heat Transfer in biological tissues
• Heat transfer in living tissue – Tissue and blood properties
– Blood perfusion rate
– Arterial blood temperature
– Metabolic heat rate
• Bioheat Source
• External heat sources (RF, DC current)
Microwave heating in the SAM
Phantom head due to microwave
radiation from an antenna
Surface to surface radiation
• Calculation of grey body radiation view factors
• Shadowing effects
• Diffuse reflection
• Temperature dependent emissivity
• External radiation sources – User defined
– From the sun (automatic position computation)
Temperature distribution in a light bulb
generated by the radiating filament
33
Radiation in participating media
• Emission/Absorption in the participating media
• Ray Scattering – Isotropic,
– Linear anisotropic,
– Nonlinear Anisotropic Scattering
• Discrete Ordinate Method
Radiative heat transfer in a utility boiler
with internal obstacles
Additional features overview
• Geometry, assembly – Heat continuity across pairs
– Thermally Resistive Layers between pair sides
• Periodicity
• Infinite elements
• Predefined liquids and gazes properties, with temperature and pressure dependency
• Arbitrary user defined properties
Two aluminum plates, modeled as infinitely
long, are joined by generating friction heat
with a rotating tool.
34
• Cooling of a chip – Forced and free convection using non-isothermal flow and simplified models.
• Cooling of a processor using cooling flanges – Forced convection and non-isothermal flow.
Examples: Electronic Cooling
Examples: Process and Manufacturing
• Copper casting – Two phase system, accounts for solidification
• Friction welding – Accounts for the latent heat in the melting process
35
Examples: Bioengineering and Medical Technology
• Cancer treatment using microwave, RF, or direct current as a heat source
Chemical Reaction Engineering Module
Temperature distribution in a
catalytic converter
36
Mass, Energy and Momentum Transport
Chemical Reaction Engineering Module
Focus on mass transport, chemical reaction, and porous media flow
Application area examples Mixing
Separation and extraction processes
Homogeneous reactions and cataysis
Heterogeneous catalysis and porous reactors
Reactive filters and monolithic reactors
Tubular/plug-flow reactors
Batch reactors
Surface reactions and deposition processes
Reactor safety and hazard control
+
37
Chemical Reaction Engineering Interfaces
Mass transport and reaction interfaces Transport of diluted species
Transport of concentrated species
Nernst-Planck equations
Species transport in porous media
Reaction engineering
Reaction Engineering Interface
Reaction Engineering Lab No longer a separate product
Automatically generates mass and energy balances for reacting systems from chemical reaction formulas
Solves reactor models for perfectly mixed systems (ODE models) Batch reactor
Semi-batch reactor
CSTR
Plug-flow reactor
38
The CAPE-OPEN Interface
CAPE-OPEN is an interface interoperability standard for simulation software in chemical engineering CO-LAN (www.colan.org)
Select between different software for optimal flexibility Modeling environments
Unit operation models (reactors)
Thermodynamics an physical property calculations
CAPE-OPEN interfaces can be sockets, plugs or both
Computational Fluid Dynamics (CFD) Module
39
Overview, Fluid Flow
• Laminar flow – Incompressible Navier-Stokes
– Weakly compressible Navier-Stokes
– Strongly compressible Navier-Stokes
• Turbulent flow – k-e turbulence model
– Low k-e turbulence model
– K-w turbluence model
– Spalart-Allmaras model
• Rotating machinery – Laminar flow
– Turbulent flow
40
Fluid Structure Interaction
• Wind-loading of structures – One-way coupling
• Fluid-structure interaction – Two-way coupling
Turbulent wind-loading and structural
analysis for the simulation of a solar
panel.
41
The Memory Efficient Form
Reduces the memory cost with a factor 6
Excellent for Laminar flows
For weakly coupled multiphsyics
Possible to use with the k-ε turbulence model
Less effective for Strongly coupled multiphysics
Non-Newtonian flows with low Reynolds number
LiveLinks to CAD Software
42
Functionality and Benefits
• A bidirectional interface – Associative geometry transfer
– Parameter update in CAD file with automatic model regeneration
– Automated parameter studies
• Tools for traditional CAD import – File import of both standard and propriatery 3D CAD file formats
– Interactive and automatic repair and defeaturing
CAD program assembly or part
COMSOL Multiphysics
Geometry Parameters Updated geometry
Interface: Supported CAD Packages
• LiveLink for AutoCAD – For AutoCAD 2011 or 2012
• LiveLink for Inventor – For Autodesk Inventor 2010, 2011
• LiveLink for Pro/ENGINEER – For Pro/ENGINEER Wildfire 4.0, Wildfire 5.0
• LiveLink for SolidWorks – For SolidWorks 2009, 2010
• LiveLink for SpaceClaim – For SpaceClaim 2011
43
File Import and Export: Supported Formats
Format Extension Version
Parasolid .x_t, xmt_txt, .x_b, .xmt_bin up to V22
SAT (ACIS) .sat, .sab up to R20
STEP .step, .stp AP203, AP214
IGES .igs, .iges up to 5.3
Autodesk Inventor .ipt and .iam 6 – 11, 2008 – 2010
DXF (2D Only) .dxf
Pro/ENGINEER .prt, .asm 16 to Wildfire 4.0
SolidWorks .sldprt, .sldasm 98-2009
VRML .vrml, .vrl v1
CATIA V5* .CATPart, .CATProduct R6 to R19
* Needs license for File Import for CATIA V5
Extra Features
44
Cluster Computing
a) Solve a parameterized problem, with parameter steps distributed to different physical cluster nodes.
b) Solve a single problem distributed to different physical nodes.
Moving Mesh
45
Parameterize. On Anything.
• Could always parameterize physics
• Can now parameterize Geometry + Mesh
Voltage & Current vs. Width
Anywhere you can type a number … you can type an equation
• Or an interpolation function …
• And it can depend on anything known in your problem
• Example: Concentration-dependant viscosity:
221001.0 c
Low concentration,
High velocity
High concentration,
Low velocity
46
Anything Can Depend on Anything Else
These can be variables, derivatives, nonlinear functions or (with LiveLink) MATLAB Functions
Example: Boundary Condition: Voltage is function of :
• Position (x),
• Time (t)
• An interpolation function based on Temperature (T)
• The time rate of change of the concentration of Ferrous Oxide
t
cTInterpFcntxV FeO
boundary
2
2 )()sin(4
Geometry
• 2D – Parametric curve
– Polygon
• 3D – Parametric curve
– Polygon
– Helix
– Sweep → with Parametric curve
47
Virtual Geometry Operations
• New way for mesher to skip over unimportant CAD features
– sliver surfaces
– misaligned edges
• Also known as “sloppy meshing”
• Difference compared to defeaturing
– Keeps the underlying surface curvature
48
Cap Faces
• Covering the ends of fluid channels and subsequently mesh the interior of imported CAD parts.
• Select the edges that trace out the surface to be formed.
• Easier transition from a purely mechanical model to a fluid or fluid-structure interaction (FSI) model.
49
Parametric Surfaces
• The new Parametric Surfaces feature allows for creation of surfaces based on analytical expressions (sin, exp) or look-up table data (interpolation tables).
• The resolution of the underlying NURBS surface can be tuned by the user (“number of knots”) and enable a more detailed surface representation and finer mesh when called upon.
50
C:\COMSOL42\models\COMSOL_Multiphysics\Geophysics\rock_fracture_flow_aperture_data.txt
Equations display – Settings Window
• Hidden by default
• Dotted line for the corresponding feature
• Controlled by Study type by default
51
Studies
• Time-dependent Solver linked to Time-dependent Step by default
• Similar behaviour for Parametric solver
• Icon indicates if the solver is edited with a red wheel
• Right-click “Study” and “Compute” uses new default solver if Solver 1 is edited
RMS & Variance Operations
52
FFT Histogram Plot Nyquist Plot Ribbon Plot
Automatic and interactive meshing
Free tetrahedral
Boundary layer
Mapped
Swept
Mixed
Adaptive
Model courtesy Metelli S.p.A.
53
Livelink for MATLAB
• Communication link between MATLAB and COMSOL Multiphysics – Use MATLAB as scripting interface to implement your COMSOL Multiphysics model
– Call external MATLAB functions from within the COMSOL GUI
Modeling at the Command Line
• 3D backstep model implemented at the command line
54
MATLAB Function Call from the COMSOL GUI
• Use MATLAB functions in material properties, boundary settings, etc.
• No need to start COMSOL with MATLAB
• Function path needs to be set in MATLAB
Why COMSOL Multiphysics
• Multiphysics – Coupled phenomena (strongly or weakly coupled)
– No limitation on the number of physics involved
– Couplings not limited to pre-implemented cases
• Single physics – A single interface for all physics
• Extreme flexibility with no need for user-subroutines – Modify any solvable equation
– Create your own multiphysics couplings
– Type in nonlinear expressions, look-up tables, or function calls
– Optional user-interfaces for working directly with equations: algebraic, PDEs, and ODEs
– Parameterize anything (including the geometry)
• High-Performance Computing (HPC): – Multicore & Multiprocessor
– Clusters
55
Capture the ConceptTM
Questions
& Answers