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Solid Mesh
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The solid mesh is the collection of points on the object's surface :math:`X_{\alpha}`.
It is recomendable that its resolution coincide with the fluid grid refinement (:math:`n`).
Ideally, the solid points should be uniformly distributed.
However, This is difficult to assure in practice, so, a low degree of non-uniformity is acceptable.
The figure below illustrates two different meshs of the same geometry.
Despite left mesh having a higher resolution, the right one is the more adequate for a IBM simulation, because the points are more evenly spaced.

.. figure:: /_static/img/theory/IBM/mesh.svg
    :width: 70%
    :align: center