MATLAB: Creating a 3D Multidomain PDE Object:

discretediscrete geometryelectromagnetismfinite elementmodellingnumericspartial differential equationPartial Differential Equation Toolboxpdepde toolbox

I have a geometry currently defined via .stl file (attached below). Unfortunetly, as noted in the documentation (STL Limitation) matlab recognises each object as an individual cell with no common interface between the two. The interface between the objects is then pretty important in this setting.

"As a workaround, you can import a mesh and then create a multidomain geometry from the mesh by using the geometryFromMesh function."

From the documentation I'm aware the alphashape is another option available for setting up discrete geometries however I didn't find the documentation particularily useful and cannot fathom how to begin setting up a geometry related to my problem in this fashion.

Best Answer

This question was also posted on stack exchange where a very helpful answer was posted: Stack Exchange Answer

Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

One should be able to specify boundary conditions on all external boundaries of any geometry.

 For example, look at the “A scattering problem” example in the documentation. It has a Neumann condition at the outer boundary and a Dirichlet condition at the inner boundary (that is formed by the square sub-region).

Boundary conditions on internal boundaries such as boundaries across which material properties or governing equations might change are not required by Finite Element method.

MATLAB: How to apply Dirichlet boundary condition to a part of a face

Please find the example script, "partialDirichletBCExample.m" attached with this email that demonstrates how to apply Dirichlet boundary condition only on a portion of a face.. In the attached example, we are solving two problems with two PDE models as follows:

1. Simulate the requirement of applying Dirichlet boundary condition to a part of a face. In the PDE model, "model1", we apply y-displacement on half of the face numbered 6, using functional form of the boundary condition specification.

2. Verify the simulated model. In the PDE model, "model2", we create the geometry such that there are two faces in place of face 6 in "model1". Here, we apply mixed boundary conditions on face 11, which is equivalent to applying Dirichlet boundary condition on half of the face numbered 6 on "model1".

As you can observe from the results plots, both these models give the same results except near the half way partition. Here "model1" has an imperfect face, unlike "model2", where the geometry has been created such that there are two faces in place of face 6 of "model1". Similarly, you can use this approach to apply Dirichlet boundary condition only on a portion of a face to your PDE model.

Best Answer

Related Solutions

MATLAB: How to specify boundary conditions on subdomain borders using the Partial Differential Equation (PDE) Toolbox 1.0.13 (R2008b)

MATLAB: How to apply Dirichlet boundary condition to a part of a face

Related Question