From: Wolfgang Bangerth Date: Tue, 1 Sep 2009 02:38:09 +0000 (+0000) Subject: Escape 'internal'. X-Git-Tag: v8.0.0~7209 X-Git-Url: https://gitweb.dealii.org/cgi-bin/gitweb.cgi?a=commitdiff_plain;h=842700fa0e344b9ae2d05aa3c8bb94cd284860d0;p=dealii.git Escape 'internal'. git-svn-id: https://svn.dealii.org/trunk@19359 0785d39b-7218-0410-832d-ea1e28bc413d --- diff --git a/deal.II/examples/step-32/doc/intro.dox b/deal.II/examples/step-32/doc/intro.dox index bcdb2b5f63..b878c070d3 100644 --- a/deal.II/examples/step-32/doc/intro.dox +++ b/deal.II/examples/step-32/doc/intro.dox @@ -267,8 +267,8 @@ the artificial viscosity as small as possible while keeping it as large as necessary. To see what is happening, note that below we will impose boundary conditions for the temperature between 973 and 4273 Kelvin, and initial conditions are also chosen in this range; because there -are no internal heat sources or sinks, the temperature should -consequently always be in this range, barring any internal +are no %internal heat sources or sinks, the temperature should +consequently always be in this range, barring any %internal oscillations. If the minimal temperature drops below 973 Kelvin, then we need to add stabilization by either increasing $\beta$ or decreasing $c_R$. @@ -621,13 +621,13 @@ the following quantities: and outer radii.
  • The right hand side of the temperature equation contains the rate of - internal heating $\gamma$. The earth does heat naturally through three mechanisms: + %internal heating $\gamma$. The earth does heat naturally through three mechanisms: radioactive decay, chemical separation (heavier elements sink to the bottom, lighter ones rise to the top; the countercurrents dissipate emergy equal to the loss of potential energy by this separation process), and heat release by crystallization of liquid metal as the solid inner core of the earth grows. None of these processes are overly significant the earth mantle, and - so we assume that the internal heating can be set to zero. + so we assume that the %internal heating can be set to zero.
  • For the velocity we choose as boundary conditions $\mathbf{v}=0$ at the inner radius (i.e. the fluid sticks to the earth core) and