]> https://gitweb.dealii.org/ - dealii-svn.git/commitdiff
Minor typo.
authorbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Fri, 1 Feb 2013 01:00:10 +0000 (01:00 +0000)
committerbangerth <bangerth@0785d39b-7218-0410-832d-ea1e28bc413d>
Fri, 1 Feb 2013 01:00:10 +0000 (01:00 +0000)
git-svn-id: https://svn.dealii.org/trunk@28208 0785d39b-7218-0410-832d-ea1e28bc413d

deal.II/examples/step-34/doc/intro.dox

index 420350d0b679264c1fedc0b08286cea2e6e4698f..5b3b847f9bc9e3379684a6065980ba3ad757c0c0 100644 (file)
@@ -2,7 +2,7 @@
 
 <i>This program was contributed by Luca Heltai (thanks to Michael
 Gratton for pointing out what the exact solution should have been in
-the threedimensional case).  </i>
+the three dimensional case).  </i>
 
 <a name="Intro"></a>
 
@@ -660,14 +660,14 @@ that respects the continuous geometry behind the discrete initial
 mesh.
 
 For a sphere of radius $a$ translating at a velocity of $U$ in the $x$ direction, the potential reads
-\[ 
+\[
 \phi = -\frac{1}{2}U \left(\frac{a}{r}\right)3 r \cos\theta
 
 \] see, e.g. J.N. Newman, \emph{Marine Hydrodynamics}, 1977,
 pp. 127. For unit speed and radius, and restricting $(x,y,z)$ to lie
-on the surface of the sphere, 
+on the surface of the sphere,
 \[ \phi = -x/2.\] In the test problem,
 the flow is $(1,1,1)$, so the appropriate exact solution on the
 surface of the sphere is the superposition of the above solution with
 the analogous solution along the $y$ and $z$ axes, or \[ \phi =
-\frac{1}{2}(x + y + z) \]
\ No newline at end of file
+\frac{1}{2}(x + y + z) \]

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