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Simple coupled PDE example
Posted 30.09.2015, 04:50 GMT-4 Parameters, Variables, & Functions, Studies & Solvers Version 4.4 0 Replies
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as an introduction to more complex scenarios i tried to setup a very simple coupled pde with the coefficient form. I chose a stationary 1D Darcian flow over a length of 2m like this
1. equation: rho*(dv/dx) = 0 (v - velocity, rho - density)
2. equation: v = -(k/mu)*(dp/dx) (p - pressure, k - permeability, mu - dynamic viscosity)
BC: p(x=0) = 20[MPa] and p(x=2) = 0[MPa]
I set u = {v,p} and the coefficients beta_11 = rho, beta_22 = k/mu and a_21 = 1 in combination with two Dirichlet BC's for the end nodes to fix p. Unfortunately it doesn't work . It's a well posed problem with a very simple solution which is why i believe i set up something wrong. I attached the corresponding comsol file.
Any help is much appreciated
best regards Roman Rahner
(phd student of Georg Dresen)
Attachments:
Hello Georg Dresen
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