> What is an anisotropic mesh? By anisotropic, I mean the mesh having low-quality triangles (skinny triangles, as opposed to equilateral triangles), strategically oriented so they reduce the number of vertices required but do not negatively affect the resolution of the functions or solutions involved (e.g., the interpolation error does not increase compared to an isotropic mesh where all triangles are equilateral or near-equilateral).
bamg is a good anisotropic mesh generator and its user manual [1] contains examples of anisotropic meshes (e.g., Fig 12 on page 14). I should point out that when I say anisotropic quad-tree based axis-aligned mesh, I really mean quasi-ansiotropy, since an axis-aligned mesh can only orient skinny triangles along x or y axis. If your solution has an interface layer that is oriented in neither, e.g., if it's at a 45 degree angle, an axis-aligned mesh would not be able to make use of anisotropy and would end up using way more vertices instead (for constructing small rectangles along the layer). (An illustration of an axis-aligned mesh: https://imgur.com/15pyjHG) [1] https://www.ljll.math.upmc.fr/hecht/ftp/bamg/bamg.pdf _______________________________________________ fipy mailing list [email protected] http://www.ctcms.nist.gov/fipy [ NIST internal ONLY: https://email.nist.gov/mailman/listinfo/fipy ]
