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40 lines
1.0 KiB
40 lines
1.0 KiB
from fenics import *
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from mshr import *
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import numpy as np
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finalt = 5 #Final time
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steps = 5000 #number of steps
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dt = finalt/steps #time steps
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# model parameters
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mu = 0.001 #dynamic viscosity
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rho = 1 #density
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#creating mesh
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channel = Rectangle(Point(0,0), Point(2.2, 0.41))
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cylinder = Circle(Point(0.2,0.2), 0.05)
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domain = channel - cylinder
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mesh = generate_mesh(domain,64)
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#Defining spaces
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V = VectorFunctionSpace(mesh,'P', 2)
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Q = FunctionSpace(mesh, 'P', 1)
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#defining boundaries:
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inflow = 'near(x[0], 0)'
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outflow = 'near(x[0], 2.2)'
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walls = 'near(x[1], 0) || near(x[1], 0.41)'
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cylinder = 'on_boundary && x[0]>0.1 && x[0]<0.3 &&x[1]>0.1 && x[1]<0.3'
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#defining inflow profile
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inflowProfile('4.0*1.5*x[1]*(0.41-x[1])/pow(0.41,2)', '0')
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#defining boundary conditions:
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bcuInflow = DirichletBC(V,Expression(inflowProfile, degree=2), inflow)
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bcuWalls = DirichletBC(V, Constant((0, 0)), walls)
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bcuCylinder = DirichletBC(V, Constant((0,0)), cylinder)
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bcpOutflow = DirichletBC(Q, Constant(0), outflow)
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bcu = [bcuInflow, bcuWalls, bcuCylinder]
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bcp = [bcpOutflow]
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