Interface domain is not working.

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4 years 11 months ago #2245 by Amad
Hello everyone,

I am trying to solve an Acoustic FSI problem with the HDG method, but an error has occurred. The following lines are the (global) code I wrote.

Creating geometry:
Code:
geometry = SplineGeometry() # point coordinates ... pnts = [ (-0.5,-0.5), (0,-0.5), (0,0.5), (-0.5,0.5), (0.5,-0.5), (0.5,0.5)] pnums = [geometry.AppendPoint(*p) for p in pnts] # start-point, end-point, boundary-condition, domain on left side, domain on right side: geometry.Append(["line", pnums[0], pnums[1]], bc="fluid", leftdomain=1, rightdomain=0) geometry.Append(["line", pnums[1], pnums[2]], bc="interface", leftdomain=1, rightdomain=2) geometry.Append(["line", pnums[2], pnums[3]], bc="fluid", leftdomain=1, rightdomain=0) geometry.Append(["line", pnums[3], pnums[0]], bc="fluid", leftdomain=1, rightdomain=0) geometry.Append(["line", pnums[1], pnums[4]], bc="solid", leftdomain=2, rightdomain=0) geometry.Append(["line", pnums[4], pnums[5]], bc="solid", leftdomain=2, rightdomain=0) geometry.Append(["line", pnums[5], pnums[2]], bc="solid", leftdomain=2, rightdomain=0) geometry.SetMaterial(1,"fluid") geometry.SetMaterial(2,"solid") mesh = Mesh(geometry.GenerateMesh(maxh=0.1))

Spaces generated:
Code:
U_s = VectorL2(mesh, order=order, complex=True, definedon="solid") F_s = FacetFESpace(mesh, order=order, complex=True, definedon="solid") U_f = VectorL2(mesh, order=order, complex=True, definedon="fluid") F_f = FacetFESpace(mesh, order=order, complex=True, definedon="fluid") Q = L2(mesh, order=order, complex=True) # Pressure space fes = FESpace([Q, U_f, U_s, F_f, F_f, F_s, F_s], highest_order_dc=True) (p_f, u_f, u_s, uhatx_f, uhaty_f, uhatx_s, uhaty_s), \ (q_f, v_f, v_s, vhatx_f, vhaty_f, vhatx_s, vhaty_s) = fes.TnT()

bilinear form:
Code:
a = BilinearForm(fes, condense=condense) # fluid domain dS = dx(element_boundary=True, definedon=mesh.Materials("fluid")) a += (.........) * dx("fluid") # volume elements a += (.........) * dS # boundary elements a += (.........) * ds(definedon=mesh.Boundaries("fluid")) # fluid boundary domain # solid domain dS = dx(element_boundary=True, definedon=mesh.Materials("solid")) a += (.........) * dx("solid") # volume elements a += (.........) * dS # boundary elements a += (.........) * ds(definedon=mesh.Boundaries("solid")) # solid boundary domain # solid domain dS = dx(element_boundary=True, definedon=mesh.Materials("interface")) a += (.........) * dx("solid") # volume elements a += (.........) * dS # boundary elements a += (.........) * ds(definedon=mesh.Boundaries("solid")) # solid boundary domain # interface fluid-solid domain a += (.........) * ds(definedon=mesh.Boundaries("interface")) # source f = LinearForm(fes) f += (.........) * ds(definedon=mesh.Boundaries("fluid")) # fluid f += (.........) * ds(definedon=mesh.Boundaries("solid")) # solid a.Assemble() f.Assemble()

Then, I got the following error:

NgException: FacetBilinearFormIntegrator::CalcFacetMatrix<Complex> for inner facets not implemented!in Assemble BilinearForm 'biform_from_py'


1- Assuming I wrote the correct formulation, why did I get this error?
2- Am I skipping any steps? Do I need to include anything else?

Finally, I tried to solve the same problem with Galerkin FEM and got the same error.
Please let me know what I did wrong.

Thanks in advance and have a nice new year!

Best Regards,

Alan
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4 years 11 months ago #2246 by joachim
do your integrals involve u.Other() terms ?
You should not need them for HDG, but they are certainly the cause for the appearance of the FacetBilinearFormIntegrator (which complains about the complex form).

Best, Joachim
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4 years 11 months ago #2248 by Amad
Dear Joachim,

Thank you for the prompt reply.

No, I am not using u.Others().

I am creating these trace functions:
Code:
uhat_s = CoefficientFunction( (uhatx_s, uhaty_s) ) vhat_s = CoefficientFunction( (vhatx_s, vhaty_s) ) uhat_tr_s = CoefficientFunction( (uhatx_s.Trace(), uhaty_s.Trace()) ) vhat_tr_s = CoefficientFunction( (vhatx_s.Trace(), vhaty_s.Trace()) ) uhat_f = CoefficientFunction( (uhatx_f, uhaty_f) ) vhat_f = CoefficientFunction( (vhatx_f, vhaty_f) ) uhat_tr_f = CoefficientFunction( (uhatx_f.Trace(), uhaty_f.Trace()) ) vhat_tr_f = CoefficientFunction( (vhatx_f.Trace(), vhaty_f.Trace()) )

After that,

This browser does not support PDFs. Please download the PDF to view it: Download PDF

I am using these functions to integrate into the interface, for example. I have attached a pdf of the equation I am trying to code using NGSolve. For example, in the interface domain, I used equation (32) in (30) and got the equation as follows
Code:
interfaceTerm = p_f*(v_f - vhat_tr_f)*n + q_f*(u_f - rho*omega_s**2*uhat_tr_s)*n + \ beta_f*(u_f - rho*omega_s**2*uhat_tr_s)*n*(v_f - vhat_tr_f)*n interface_int = interfaceTerm *ds(definedon=mesh.Boundaries("interface")) a += interface_int

Is this correct? Am I missing something?

Thank you again for the help.

Best Regards,

Alan
Attachments:
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4 years 11 months ago #2249 by joachim
can you attach a complete example producing the exception ?
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4 years 11 months ago #2251 by Amad
Dear Joachim,

I have attached code that is not working. The code works very well if we choose only one domain, i.e., only Helmholtz or elastic wave problem. But when trying to solve the coupled problem, no. So I think I'm doing something wrong on the interface.

Also, I just realised that the exception occurs when I'm trying to identify the interface that was developed in this post ngsolve.org/forum/ngspy-forum/114-interface-integrals#491
Code:
def GetInterfaceIndicator(mesh): dom_indicator = GridFunction(L2(mesh,order=0)) dom_indicator.Set(CoefficientFunction([1,2])) ffes = FacetFESpace(mesh,order=0) dom_ind_average = GridFunction(ffes) mf = BilinearForm(ffes,symmetric=True) mf += SymbolicBFI(ffes.TrialFunction()*ffes.TestFunction(),element_boundary=True) mf.Assemble() ff = LinearForm(ffes) ff += SymbolicLFI(dom_indicator*ffes.TestFunction(),element_boundary=True) ff.Assemble() dom_ind_average.vec.data = mf.mat.Inverse() * ff.vec interface_indicator = BitArray(ffes.ndof) for i in range(len(dom_ind_average.vec)): if (dom_ind_average.vec[i] > 1.75) or (dom_ind_average.vec[i] < 1.25): interface_indicator[i] = False else: interface_indicator[i] = True print(sum(interface_indicator)) return interface_indicator interface_indicator = GetInterfaceIndicator(mesh) interfacebfi = SymbolicBFI (interfaceTerm, VOL, skeleton=True) interfacebfi.SetDefinedOnElements(interface_indicator) a += interfacebfi

File Attachment:

File Name: AcousticFS...12-30.py
File Size:10 KB


Thank you again.
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4 years 11 months ago #2252 by joachim
You don't use the pressure in the solid domain. Add a definedon, and your code runs through:
Code:
Q = L2(mesh, order=order, complex=True , definedon="fluid")

Otherwise, you get error messages like
ZGETRF::info = 1
ZGETRI::info = 1
which stem from Lapack complaining about singular matrices in local condensation.


Yes, as you have observed, the FacetBilinearFormIntegrator::CalcFacetMatrix<Complex> exception comes from the "skeleton=True" complex integrator (which you should not need).

Joachim
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