How to evaluate slip boundary condition in the Navier Stokes problem?
8 months ago by
I am looking for a simple implementation of the slip boundary condition, but without success. Any help is appreciated.
def navier_stokes(): # Define unknown and test function(s) (v_,p_) = TestFunctions(Omega) # current unknown time step (v,p) = split(w) # previous known time step (v0,p0) = split(w0) #combine variational forms with time derivative F = Dt*inner(rho(l)*v - rho(l0)*v0,v_)*dx + NS(v,p,l,v_) + div(v)*p_*dx # Boundary condition bcs = list() #bcs.append( DirichletBC(Omega.sub(0).sub(0), Constant(0.0), "near(x,0.0) || near(x,1.0)") ) bcs.append( DirichletBC(Omega.sub(0), Constant((0.0,0.0)), "near(x,0.0) || near(x,2.0) || near(x,0.0) || near(x,1.0)") ) J = derivative(F,w) problem=NonlinearVariationalProblem(F,w,bcs,J) solver=NonlinearVariationalSolver(problem) prm = solver.parameters prm['nonlinear_solver'] = 'newton' prm['newton_solver']['absolute_tolerance'] = 1E-10 prm['newton_solver']['relative_tolerance'] = 1E-10 prm['newton_solver']['maximum_iterations'] = 100 prm['newton_solver']['linear_solver'] = 'mumps' solver.solve() return w
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