Re: poroelastic 1d benchmark

[Konstantinos Poulios]

Dear Anne-Cecile

This is just a way to implement a homogeneous BC on p. If you know that p has to be 0 at the top boundary (T_RG) you can use a reduced fem to remove the corresponding degrees of freedom. It is the simplest way to implement homogeneous Dirichlet BCs.

BR

Kostas

On Wed, Nov 10, 2021 at 1:05 AM Lesage,Anne Cecile J <AJLesage@mdanderson.org> wrote:

Dear all

 

Why shall I use a reduced fem for the pressure to solve the biot equations?

 

mfp_ = gf.MeshFem(mesh, 1)

mfp_.set_classical_fem(press_fem_order)

keptdofs = np.arange(mfp_.nbdof())

keptdofs = np.setdiff1d(keptdofs, mfp_.basic_dof_on_region(T_RG))

mfp = gf.MeshFem("partial", mfp_, keptdofs)

 

…………………….

 

#Equation 1

md.add_linear_term(mim9, 'G*Grad(u):Grad(Test_u)+G/(1-2*nu)*Div(u)*Div(Test_u)+alpha*Grad(p).Test_u')

 

#Equation 2

md.add_linear_term(mim4, 'alpha/dt*(Div(u)-Div(u_prev))*Test_p+k*Grad(p).Grad(Test_p)')

 

Thank you

Regards

Anne-Cecile

 

 

 

 

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