def geometry(self) -> Geometry:
geom = Geometry()
cylinder = geom.add_circle([*self.centre, 0.0], self.radius, lcar=self.lcar)
channel = geom.add_rectangle(
0.0, self.length, 0.0, self.height, 0, holes=[cylinder], lcar=self.lcar
)
geom.add_physical(channel.surface, "domain")
geom.add_physical(channel.lines[1], "outlet")
geom.add_physical(channel.lines[3], "inlet")
return geom
return sum(np.einsum("j...,ij...->i...", w["wind"], w["wind"].grad) * v)
@skfem.BilinearForm
def port_pressure(u, v, w):
"""v is the P2 velocity test-function, u a P1 pressure"""
return sum(v * (u * w.n))
radius = 0.05
height = 0.41
geom = Geometry()
cylinder = geom.add_circle([0.2, 0.2, 0.0], radius, lcar=radius / 2)
channel = geom.add_rectangle(
0.0, 2.2, 0.0, height, 0, holes=[cylinder], lcar=radius / 2
)
geom.add_physical(channel.surface, "domain")
geom.add_physical(channel.lines[1], "outlet")
geom.add_physical(channel.lines[3], "inlet")
mesh = from_meshio(generate_mesh(geom, dim=2))
element = {"u": skfem.ElementVectorH1(skfem.ElementTriP2()), "p": skfem.ElementTriP1()}
basis = {
**{v: skfem.InteriorBasis(mesh, e, intorder=4) for v, e in element.items()},
"inlet": skfem.FacetBasis(mesh, element["u"], facets=mesh.boundaries["inlet"]),
}
M = skfem.asm(vector_mass, basis["u"])
L = {"u": skfem.asm(vector_laplace, basis["u"]), "p": skfem.asm(laplace, basis["p"])}
B = -skfem.asm(divergence, basis["u"], basis["p"])
