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COMSOL使用方法的例子(Heat equation)
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更新于2023-03-16
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COMSOL是解决跨学科科学工程问题的高级软件,由于其使用方法复杂,特此提供文档并以热方程为例,讲授如何使用此软件,希望对大家的学习有帮助。
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COMSOL 4.2 Tutorial
COMSOL Multiphysics (formerly FEMLAB) is a finite element analysis, solver
and Simulation software / FEA Software package for various physics and
engineering applications, especially coupled phenomena, or multiphysics.
COMSOL Multiphysics also offers an extensive interface to MATLAB and its
toolboxes for a large variety of programming, preprocessing and postprocessing
possibilities. The packages are cross-platform (Windows, Mac, Linux,Unix.) In
addition to conventional physics-based user-interfaces, COMSOL Multiphysics
also allows for entering coupled systems of partial differential equations (PDEs).
How to create a new model in COMSOL
1. Start COMSOL Multiphysics
2. Work through the COMSOL Model Wizard which will require you to select the
coordinate system for the model, the relevant physics to the problem, and the type
of study you wish to perform (Time dependant or stationary).
3. Define the parameters, equations and variables pertinent to the model (sub
directory (Global Definitions).
4. Define the geometry of the model (Geometry).
5. Select the materials you wish to use in your model (Materials).
6. Select the boundary, bulk and initial conditions for your system for each physics
you are using (This will be entered separately for each different physics you are
using e.g. you will need to enter these for Laminar Flow and again for Heat
Transfer if you are using both ).
7. Choose the element size to be used (Mesh).
8. Adjust solver parameters and compute (Study).
10. Display the desired results in the most meaningful way (Results).
Not all of these steps are always necessary when building a model. The order is
also variable depending on the complexity of the model.
Example 1. (Heat transfer)
Consider a cylindrical heating rod which is sheathed by a concentric tube of
thickness 0.05 m and which starts 0.05 m away from the center. The entire
assembly is immersed in a fluid and the system is at steady-state, as shown below.
We wish to determine the temperature distribution within the sheath. After
thinking about the problem, assume that we arrived at the following
approximations (make sure you understand how we arrived at following
approximations for your future quiz and test): The temperature of the heater is
constant at 400K. The temperature at R1 is the same as the temperature of the
heater, 400K. The fluid temperature is constant at 300K and this is the temperature
of the surrounding sheath at R2.
Given that heat diffusion should be the same at any given θ it is reasonable to
define this problem in 2D as follows.
Solution using COMSOL:
Startup
1. Start COMSOL by clicking the
COMSOL Multiphysics 4.2 icon.
2. When COMSOL starts, the Model
Wizard will be open automatically.
This wizard asks you to define the
spatial dimension you’ll be using for
the model as well as the applicable
physics and the type of study you wish
to perform (either time dependant or stationary). For this problem start by selecting
2D, continue by clicking the
blue, right pointing arrow at the
top right of the Model Wizard
screen.
3. Next select the applicable
physics for the model. In this
case heat transfer in solids will
be selected. This can be found
under the Heat Transfer module.
Click the triangle to the left of
the Heat Transfer module to see the drop down menu which contains Heat Transfer
in Solids, left click this so that it is highlighted then click the blue, right pointing
arrow at the top right of the Model Wizard menu screen. Multiple physics can be
added to a single model by left clicking the physics to add and then left clicking
the blue + sign at the bottom left of the Model Wizard menu screen.
4. The final step in the Model
Wizard is to select the type of
study you would like to
perform on our model. In our
case stationary will be
sufficient to find the steady
state solution to this problem.
As with the physics add the
stationary study by left clicking
on “Stationary” below the
preset studies icon. Click the
finish flag at the top right of the
Model Wizard to finish startup.
Model Builder and Saving
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