Transcript 1Finite Element Modeling with COMSOL.ppt

Finite Element Modeling with
COMSOL
Ernesto Gutierrez-Miravete
Rensselaer at Hartford
Presented at
CINVESTAV-Queretaro
December 2010
OUTLINE
DAY 1:
Introduction to Modeling with COMSOL
DAY 2:
Some more Advanced Applications
OUTLINE – DAY 1
1.-Mathematical Modeling in Science and
Engineering
2.- Systems of Partial Differentials Equations as
representations of Physical Systems
3.- Solution of PDEs using the Methods of
Advanced Calculus
4.- Solution of PDEs using the methods of
Numerical Mathematics
5.- The COMSOL User Interface
6.- Selected Basic Examples
Summary of Day 1
• The finite element method is a numerical approximation
process used for the solution of boundary and initial value
problems for differential equations
• The FEM produces approximate solutions by writing them as
linear combinations of simple basis functions and test
functions equal to the basis functions and introducing these
into the variational formulation of the problem
• The final FEM equations that must be solved are systems of
linear algebraic equations
• COMSOL is modern software embedding the FEM with a
cleverly designed user interface designed to increase the
applicability and ease of use of mathematical modeling
methods
Summary of Day 1 (contd)
The COMSOL user interface allows for easy and
convenient:
– Definition of coordinate system and physical
phenomena involved
– Creation/Importing of Geometries
– Entering of input data (physical properties,
boundary and initial conditions)
– Meshing of the geometric domain with finite
elements
– Solving the resulting system of algebraic equations
– Visualization of the computed results
OUTLINE – DAY 2
• Brief review of main points covered in day 1
• Development and demonstration of selected
models
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Modes of Vibration of a Turbine Blade
Stresses in an Airframe Bracket
Buckling of Isogrid Plates
Heat Conduction in a Glass Bottle Plunger
Surface Heating with a Moving Intermittent Source
Laminar Flow and Heat Transfer around a Cylinder
Flow and Heat Transfer of Liquid Metal over a Backward facing Step
under imposed Magnetic Field
– Electro-Thermal Phenomena in Contactors