Surface Approximation Settings

Object surfaces in Maxwell may be planar, cylindrical or conical, toroidal, spherical, or splines. The original model surfaces are called true surfaces. To create a finite element mesh, Maxwell first divides all true surfaces into triangles. These triangulated surfaces are called faceted surfaces because a series of straight line segments represents each curved or planar surface.

For planar surfaces, the triangles lie exactly on the model faces; there is no difference in the location or the normal of the true surface and the meshed surface. When an object’s surface is non-planar, the faceted triangle faces lie a small distance from the object’s true surface. This distance is called the surface deviation, and it is measured in the model’s units. The surface deviation is greater near the triangle centers and less near the triangle vertices.

The normal of a curved surface is different depending on its location, but it is constant for each triangle. (In this context, "normal" is defined as a line perpendicular to the surface.) The angular difference between the normal of the curved surface and the corresponding mesh surface is called the normal deviation and is measured in degrees.

The aspect ratio of triangles used in planar surfaces is based on the ratio of circumscribed radius to the in-radius of the triangle. It is unity for an equilateral triangle and approaches infinity as the triangle becomes thinner.

You can modify the surface deviation, the maximum permitted normal deviation, and the maximum aspect ratio of triangles settings on one or more faces at a time in the Surface Approximation dialog box. (Click Maxwell 3D > Mesh > Assign Mesh Operation > Surface Approximation.)

The surface approximation settings are applied to the initial mesh.

Note: For the initial mesh, all the vertices of the triangles lie on the true surfaces. During mesh refinement, all the points are first added to the faceted surface for all products, not to the true surfaces. Then, for all Maxwell projects, and for curvilinear meshing enabled HFSS and HFIE projects, the points on the faceted surfaces will be moved to the curved surface locations when such movement does not degrade the quality of the mesh.

Related Topics 

Modifying Surface Approximation Settings

Technical Notes: Guidelines for Modifying Surface Approximation Settings

Technical Notes: The Mesh Generation Process