Dear community I apologize if the question was too generic. I attempt here to be more precise, asking for some suggestions.
In solving a Laplace-Beltrami problem on an advecting surface one should identify the Gauss points on the manifold dim-1 cell and retrieve at such locations relevant information from the solution of the advection problem, using the dim dof_handler of the volume. I wonder how to connect a manifold dim-1 cell to the volumetric cell it was extracted from. The GridGenerator::extract_boundary_mesh method seem to provide some information, since "it returns A map that for each cell of the surface mesh (key) returns an iterator to the corresponding face of a cell of the volume mesh (value). " . I am not sure how I can use this map to link a manifold cell to the corresponding volume cell. Any help is very much appreciated. Thanks! Alberto Il giorno martedì 3 settembre 2019 18:36:59 UTC+2, Alberto Salvadori ha scritto: > > Dear community > > I am trying to find a good way to deal with the following problem. > > I am interested in a Laplace-Beltrami simulation (say with unknown scalar > field c) on a surface that advects (with displacement field u) enclosesing > a volume of say elastic material. > The two problems are per se uncoupled, but for the geometrical evolution. > In this regard, one may solve separately for displacements in the volume > and for c on the surface, once the latter is informed on the displacement > field (and related gradients) on the surface nodes (and Gauss points). > Extracting the surface mesh from the volume is quite simple. Which is > though the best way to extract (project) the displacement solution on the > boundary? Any suggestion/ hint? > > Many thanks, > Alberto > -- Informativa sulla Privacy: http://www.unibs.it/node/8155 <http://www.unibs.it/node/8155> -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To view this discussion on the web visit https://groups.google.com/d/msgid/dealii/df1ce3d5-ecbe-41f8-907e-805d334417fb%40googlegroups.com.
