Intro to Comsol Nc 2012

1

Mina W. Nashed

[email protected];

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

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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

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• 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


• 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


• 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


• 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

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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

Documents

Intro to Comsol Nc 2012