Solving Slope-Matching Condition in COMSOL Multiphysics

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In summary, the slope-matching condition in COMSOL Multiphysics is a boundary condition that ensures continuity and smoothness between different parts of a model's boundary. It is important for accurately modeling physical systems with discontinuities or changes in slope. To set it up, the boundary condition and slope value must be specified in the Boundary Settings window. This condition can be applied to all types of boundaries and models, but may not be suitable for all physical systems. It is important to carefully consider the physics of the model before applying the slope-matching condition.
  • #1
womfalcs3
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Homework Statement



How do I set a slope-matching condition in COMSOL?


Homework Equations



u1x=u2x.

The Attempt at a Solution



I have used the Dirichlet BC type. I have multiplied and divided by n, the number of equations, on either side of the boundary.
 
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  • #2
Just realized I should add this...

I have to impose a BC on the function itself and its derivative. So I have to use a Dirichlet BC.

If it were just the derivative, I could use a Neumann, but I have to impose both.
 
  • #3
Then I have added the condition u1x=u2x to the boundary expression. This ensures that the slopes of the two solutions are the same at the boundary. Additionally, if you are using the COMSOL LiveLink for MATLAB, you can use the "slope matching" option under the "Boundary Settings" tab to set the slope-matching condition. This will automatically add the necessary equations to your model.
 

1. What is the slope-matching condition in COMSOL Multiphysics?

The slope-matching condition in COMSOL Multiphysics is a boundary condition that ensures continuity between different parts of a model's boundary. It specifies that the slope of the solution at the boundary must match the slope of the specified boundary condition.

2. Why is the slope-matching condition important in COMSOL Multiphysics?

The slope-matching condition is important because it helps to accurately model physical systems where there are discontinuities or changes in slope at the boundaries. It ensures that the solution is smooth and continuous, which is essential for obtaining accurate results.

3. How do I set up the slope-matching condition in COMSOL Multiphysics?

To set up the slope-matching condition in COMSOL Multiphysics, you will need to define the boundary condition and specify the slope value at the boundary. This can be done in the Boundary Settings window, under the Boundary Condition section. You can also use the built-in functions and operators to define the slope at the boundary.

4. Can the slope-matching condition be applied to all types of boundaries?

Yes, the slope-matching condition can be applied to all types of boundaries in COMSOL Multiphysics, including open, closed, symmetry, and periodic boundaries. It can also be used for both 2D and 3D models.

5. Are there any limitations to using the slope-matching condition in COMSOL Multiphysics?

One limitation of using the slope-matching condition is that it may not be suitable for all types of physical systems. For example, in some cases, a different boundary condition such as a fixed value or a symmetry condition may be more appropriate. It is important to carefully consider the physics of your model before applying the slope-matching condition.

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