How are 2D electrostatic modules approximated in COMSOL?

In summary, the 2D modules in model settings do not show the 3rd direction and assume that the electrostatics are represented by a 2D slice of a uniform model extending to infinity in the z direction. The documentation for this can be found on pages 64-65 of the AC/DC Module User's Guide. These 2D problems are often approximated by viewing a cross section of the geometry in the xy-plane and assuming no variation along the z-axis.
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feynman1
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In 2D modules, the 3rd direction isn't shown in model settings. What assumptions are made regarding electrostatics 2D modules?
For example, how is a 2D Poisson's equation with point sources solved? Is it based on a 1/r potential or a log potential?
 
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It is my understanding that the calculation represents a 2D slice of a uniform model in the z direction, as if it ws extending to infinity.
 
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DrClaude said:
It is my understanding that the calculation represents a 2D slice of a uniform model in the z direction, as if it ws extending to infinity.
Is there anywhere I can find the documentation about this?
 
  • #4
Pages 64-65 of the AC/DC Module User's Guide (for version 5.4, available here):
The following is a guide through some of the common approximations made for 2D problems. Remember that modeling in 2D usually represents some 3D geometry under the assumption that nothing changes in the third dimension.
Cartesian Coordinates
In this case you view a cross section in the xy-plane of the actual 3D geometry. The geometry is mathematically extended to infinity in both directions along the z-axis, assuming no variation along that axis. All the total flows in and out of boundaries are per unit length along the z-axis.
 
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Related to How are 2D electrostatic modules approximated in COMSOL?

1. What is the basic principle behind 2D electrostatic modules in COMSOL?

The basic principle behind 2D electrostatic modules in COMSOL is the approximation of a three-dimensional (3D) problem into a two-dimensional (2D) problem. This is achieved by assuming that the electric field and potential are constant in the direction perpendicular to the 2D plane.

2. How are the boundary conditions handled in 2D electrostatic modules in COMSOL?

The boundary conditions in 2D electrostatic modules are handled by assuming that the electric field and potential are constant along the boundaries. This simplifies the problem and makes it easier to solve using numerical methods.

3. What are the limitations of using 2D electrostatic modules in COMSOL?

One of the main limitations of using 2D electrostatic modules in COMSOL is that they cannot accurately capture the behavior of electric fields in the third dimension. This can lead to inaccuracies in the results, especially for complex geometries or materials.

4. How are material properties accounted for in 2D electrostatic modules in COMSOL?

In 2D electrostatic modules, material properties are accounted for by assigning different material properties to different regions in the 2D plane. This allows for the simulation of materials with varying dielectric constants, conductivities, and other properties.

5. Can 2D electrostatic modules in COMSOL be used for all types of electrostatic problems?

No, 2D electrostatic modules in COMSOL are best suited for problems with simple geometries and uniform material properties. For more complex problems, it is recommended to use the full 3D electrostatic modules in COMSOL for more accurate results.

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