
From:  Lesage,Anne Cecile J 
Subject:  RE: [EXT] Re: adding buoyancy forces to Biot poroelastic equations 
Date:  Fri, 19 Nov 2021 22:47:47 +0000 
Dear Konstantinos I understand the use of the Heaviside function but I do not get how you impose that the gravity is along the x axis Thank you Regards AC From: Konstantinos Poulios <logari81@googlemail.com>
Dear AnneCecile, The GetFEM model object does not differentiate between left and right side of an equation (there is no reason for splitting equations like this), all equations are assumed to be in the form R(...)=0. So just move all terms on the same side. The equation you provide is in strong form, you need to convert it to the respective weak form and apply the necessary integration by parts to get rid of higher order derivatives as you showed in your add_linear_term _expression_. After all
these steps you should have
md.add_linear_term(mim9,
'G*Grad(u):Grad(Test_u)+G/(12*nu)*Div(u)*Div(Test_u)+(alpha*Grad(p)g*(rho_tissuerho_air*Heaviside(X(1))rho_water*Heaviside(X(1)))).Test_u') you can also choose to split the term in two lines
md.add_linear_term(mim9,
'G*Grad(u):Grad(Test_u)+G/(12*nu)*Div(u)*Div(Test_u)')
md.add_linear_term(mim9,
'(alpha*Grad(p)g*(rho_tissuerho_air*Heaviside(X(1))rho_water*Heaviside(X(1)))).Test_u') but there is no reason for not keeping everything just in one term. BR Kostas
On Tue, Nov 16, 2021 at 11:12 PM Lesage,Anne Cecile J <AJLesage@mdanderson.org> wrote:
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