From 2272d372006415d38c4c7085748474e25c4b2263 Mon Sep 17 00:00:00 2001 From: bangerth Date: Sat, 20 Sep 2008 03:20:37 +0000 Subject: [PATCH] Outlook. git-svn-id: https://svn.dealii.org/trunk@16871 0785d39b-7218-0410-832d-ea1e28bc413d --- deal.II/examples/step-31/doc/results.dox | 23 +++++++++++++++++++++-- 1 file changed, 21 insertions(+), 2 deletions(-) diff --git a/deal.II/examples/step-31/doc/results.dox b/deal.II/examples/step-31/doc/results.dox index 83542ab4e6..b0f079ce04 100644 --- a/deal.II/examples/step-31/doc/results.dox +++ b/deal.II/examples/step-31/doc/results.dox @@ -266,5 +266,24 @@ despite the penalty we pay in terms of smaller time steps.

Possible extensions

-Parallelization -> @ref step_32 "step-32" - +There are various ways to extend the current program. Of particular interest +is, of course, to make it faster and/or increase the resolution of the +program, in particular in 3d. This is the topic of the @ref step_32 "step-32" +tutorial program which will implement strategies to solve this problem in +parallel on a cluster. + +Another direction would be to make the fluid flow more realistic. The program +was initially written to simulate various cases simulating the convection of +material in the earth's mantle, i.e. the zone between the outer earth core and +the solid earth crust: there, material is heated from below and cooled from +above, leading to thermal convection. The physics of this fluid are much more +complicated than shown in this program, however: The viscosity of mantle +material is strongly dependent on the temperature, i.e. $\eta=\eta(T)$, with +the dependency frequently modeled as a viscosity that is reduced exponentially +with rising temperature. Secondly, much of the dynamics of the mantle is +determined by chemical reactions, primarily phase changes of the various +crystals that make up the mantle; the buoyancy term on the right hand side of +the Stokes equations then depends not only on the temperature, but also on the +chemical composition at a given location which is advected by the flow field +but also changes as a function of pressure and temperature. We will +investigate some of these effects in later tutorial programs as well. -- 2.39.5