From 25c0c9f2254421fe4e9bfe188e4874cfda96b437 Mon Sep 17 00:00:00 2001 From: David Wells Date: Wed, 9 May 2018 14:42:44 -0400 Subject: [PATCH] Edit the part on manifolds. We have not yet removed Boundary or things like Triangulation::get_boundary, but they are now deprecated (as of last August). --- 9.0/paper.tex | 64 +++++++++++++++++++++++++++------------------------ 1 file changed, 34 insertions(+), 30 deletions(-) diff --git a/9.0/paper.tex b/9.0/paper.tex index 5535c26..3d769a0 100644 --- a/9.0/paper.tex +++ b/9.0/paper.tex @@ -272,38 +272,42 @@ the release announcement.) \marginpar{All: please edit as appropriate} -\dealii{} has had the ability to attach \textit{manifold descriptions} -to all parts of a geometry for several releases already. These -descriptions are used when considering where to place new vertices -upon mesh refinement, in determining the mapping from reference cell -to real cell, and in a number of other contexts. However, for historical -reasons, manifold descripts have used some of the same code paths also -used for boundary indicators typically used to identify which parts of -the boundary correspond to what boundary conditions. - -This connection has been severed in the current release: Boundary -indicators and manifold descriptions are now entirely separated. Furthermore, -all functions that allowed to query for old-style \texttt{Boundary} objects (deprecated -since version 8.5 of the \dealii library) have been removed, and have been -replaced by the equivalent methods that query \texttt{Manifold} classes. +\dealii{} has had the ability to attach \textit{manifold descriptions} to all +parts of a geometry since the 8.2 release. These descriptions are used to place +new vertices during mesh refinement, to determine the mapping between the +reference and real cells, and in a number of other contexts. These classes, +inheriting from \texttt{Manifold}, describe coordinate transformations in a +general way and completely supersede the older classes inheriting from +\texttt{Boundary}. However, for historical reasons, manifold descriptors have +used some of the same code paths as boundary indicators, which were only +intended for marking what parts of the boundary correspond to what boundary +conditions. Put another way: under certain circumstances a boundary indicator +was also interpreted as a manifold indicator. + +The current release severs this connection: Boundary indicators and manifold +descriptions are now entirely separated. This means that \texttt{boundary\_id}s +are only used to set boundary conditions and \texttt{manifold\_id}s are only +used to set geometry descriptions. The old compatibility code for using boundary +indicators as manifold indicators has been removed and all usages of the +old-style \texttt{Boundary} objects (even with manifold ids) are now deprecated. There are also numerous improvements to the available manifold descriptions. -First, the manifold smoothing algorithms applied in the \texttt{Triangulation} class and -\texttt{MappingQGeneric} have been changed from the old Laplace-style smoothing to a -transfinite interpolation that linearly blends between the descriptions on the -faces around a cell. The old transformation introduced boundary layers inside -cells that prevented convergence rates from exceeding \(3.5\) in the global -\(L^2\) errors for typical settings. This change also considerably improves mesh -quality in situations where curved descriptions are only applied to the boundary -rather than the whole volume. This concept was also introduced as a new manifold class -\texttt{TransfiniteInterpolationManifold}, which allows to apply this type of smoothing not only in the cells close to the boundary but over a full coarse (level 0) cell. - -Finally, -every function in the \texttt{GridGenerator} namespace now attaches a default manifold to -the curved parts of the domain described by the generated mesh, and sets reasonable defaults for manifold -indicators both in the domain and on the boundary. - - +First, the manifold smoothing algorithms applied in the \texttt{Triangulation} +class and \texttt{MappingQGeneric} have been changed from the old Laplace-style +smoothing to a transfinite interpolation that linearly blends between the +descriptions on the faces around a cell. The old transformation introduced +boundary layers inside cells that prevented convergence rates from exceeding +\(3.5\) in the global \(L^2\) errors for typical settings. This change also +considerably improves mesh quality in situations where curved descriptions are +only applied to the boundary rather than the whole volume. This concept was also +introduced as a new manifold class \texttt{TransfiniteInterpolationManifold}, +which allows to apply this type of smoothing not only in the cells close to the +boundary but over a full coarse (level 0) cell. + +Finally, every function in the \texttt{GridGenerator} namespace now attaches a +default manifold to the curved parts of the domain described by the generated +mesh, and sets reasonable defaults for manifold indicators both in the domain +and on the boundary. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% \subsection{Support for particle-in-cell methods} -- 2.39.5