Dear deal.ii community,
I am solving cardiac tissue problem, i.e. a time-dependent
electro-mechanical problem. In this problem electrical potential generated
from the pacemaker is taken care by a reaction-diffusion equation, the
mechanical response is an elastic contraction. A picture is attached below
showing how a plane wave of the electrical signal passes the tissue from
left to right and how contraction follows.
Till now I have done only the electrical part of the problem i.e. a
reaction-diffusion problem using adaptively refined meshes.
For the full electro-mechanics problem, I am now coupling the
electrical potential to the mechanical response of the tissue. My doubts
are following,
Q1. Is it possible/numerically correct to adaptively refine a deforming
mesh?
For reaction-diffusion(electrical) part, a highly refined mesh is
needed(due to constraints on time steps) but for solving the mechanical
deformation problem coarser mesh will do, because doing mechanics
calculations on the highly refined mesh will be expensive, for efficiency I
wanted to solve the mechanics problem on a coarser version of the same mesh
used for solving only the electrical part at each time step.
Q2. How do I get a mesh and quadrature points of a mesh that is one or two
levels less refined than the one used for the solving purely electrical
part? how to get the quadrature points of such mesh? How do I interpolate
electrical potential solution on this coarser mesh?
Note: I am using "totally Lagrangian approach" for the mechanics part, i.e.
the reference configuration is the initial undeformed configuration.
--
The deal.II project is located at http://www.dealii.org/
For mailing list/forum options, see
https://groups.google.com/d/forum/dealii?hl=en
---
You received this message because you are subscribed to the Google Groups
"deal.II User Group" group.
To unsubscribe from this group and stop receiving emails from it, send an email
to [email protected].
To view this discussion on the web visit
https://groups.google.com/d/msgid/dealii/CAK9McD24373bstpakV_jZq5MquxBX%2BiMyskGa668Mm29%2B-JMFQ%40mail.gmail.com.
For more options, visit https://groups.google.com/d/optout.
