From: bangerth Date: Sun, 2 Jan 2011 23:14:48 +0000 (+0000) Subject: Correct an untruth. X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=01b7d5172c670b30b7949ae726ff51e782565cf5;p=dealii-svn.git Correct an untruth. git-svn-id: https://svn.dealii.org/trunk@23099 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-38/doc/results.dox b/deal.II/examples/step-38/doc/results.dox index 5dffab08ee..efd057d8ac 100644 --- a/deal.II/examples/step-38/doc/results.dox +++ b/deal.II/examples/step-38/doc/results.dox @@ -57,12 +57,12 @@ as the curve moves from one quadrant of the domain into the adjacent one):

Possibilities for extensions

Computing on surfaces only becomes interesting if the surface is more -interesting than just 5/6th of a sphere. To achieve this, deal.II can read +interesting than just a half sphere. To achieve this, deal.II can read meshes that describe surfaces through the usual GridIn class. Or, in case you have an analytic description, a simple mesh can sometimes be stretched and bent into a shape we are interested in. -Let us consider a relatively simple example: we take the 5/6th sphere we used +Let us consider a relatively simple example: we take the half sphere we used before, we stretch it by a factor of 10 in the z-direction, and then we jumble the x- and y-coordinates a bit. Let's show the computational domain and the solution first before we go into details of the implementation below: @@ -93,7 +93,7 @@ Point warp (const Point &p) @endcode If we followed the LaplaceBeltrami::make_grid_and_dofs function, we would -extract the 5/6th spherical surface mesh as before, warp it into the shape we +extract the half spherical surface mesh as before, warp it into the shape we want, and refine as often as necessary. This is not quite as simple as we'd like here, though: refining requires that we have an appropriate manifold object attached to the triangulation that describes where new vertices of the @@ -102,7 +102,7 @@ this manifold in a not-too-complicated way by simply undoing the transformation above (yielding the spherical surface again), finding the location of a new point on the sphere, and then re-warping the result. But I'm a lazy person, and since doing this is not really the point here, let's just -make our lives a bit easier: we'll extract the 5/6th sphere, refine it as +make our lives a bit easier: we'll extract the half sphere, refine it as often as necessary, get rid of the object that describes the manifold since we now no longer need it, and then finally warp the mesh. With the function above, this would look as follows: