Exemplo n.º 1
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def test_heat_transfer_4():
    def solution(x, q0=1., k=1., N=20):
        def fun(n):
            al = .5 * (2. * n - 1.) * pi
            top = (-1)**n*cos(al*x[:,1])*cosh(al*x[:,0])
            bot = al**3*cosh(al)
            return top / bot
        return q0/2/k*((1-x[:,1]**2)+4.*sum([fun(n) for n in range(1,N)], 0))
    random.seed(190) # Always the same results
    fd = lambda p: dm.drectangle(p, 0, 1, 0, 1)
    fh = dm.huniform
    coord, elecon = dm.distmesh2d(fd, fh, .025, (0, 0, 1, 1),
                                  [(0, 0),(0, 1),(1, 0),(1, 1)])
    V = fe_model()
    V.create_mesh(p=coord, t=elecon)
    V.create_material('Material-1')
    V.materials['Material-1'].isotropic_thermal_conductivity(1.)
    V.create_element_block('ElementBlock1', ALL)
    V.assign_properties('ElementBlock1', DC2D3, 'Material-1')
    stage = V.create_heat_transfer_stage()
    stage.assign_prescribed_bc(IHI, T)
    stage.assign_prescribed_bc(JHI, T)
    stage.HeatGeneration(ALL, 1)
    stage.run()
    Tn = solution(V.mesh.coord)
    err = sqrt(mean((stage.dofs.flatten()-Tn)**2)) / sqrt(mean(Tn**2))
    assert err < 1e-4
Exemplo n.º 2
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def test_heat_transfer_3():
    def solution(x, N=20):
        def fun(n):
            return sin(2.*n*pi/3.)/n**2/sinh(n*pi)*sin(n*pi*x[:,0])*sinh(n*pi*x[:,1])
        return 450./pi**2*sum([fun(n) for n in range(1, N)], 0)
    random.seed(190) # Always the same results
    fd = lambda p: dm.drectangle(p, 0, 1, 0, 1)
    fh = dm.huniform
    coord, elecon = dm.distmesh2d(fd, fh, .05, (0, 0, 1, 1),
                                  [(0, 0),(0, 1),(1, 0),(1, 1)])
    f2 = lambda x: where(x[:,0] <= 2./3., 75*x[:,0], 150*(1-x[:,0]))
    V = FiniteElementModel()
    V.Mesh(p=coord, t=elecon)
    V.Material('Material-1')
    V.materials['Material-1'].IsotropicThermalConductivity(1.)
    V.ElementBlock('ElementBlock1', ALL)
    V.AssignProperties('ElementBlock1', DiffussiveHeatTransfer2D3, 'Material-1')
    step = V.HeatTransferStep()
    step.PrescribedBC(JLO, T, 0)
    step.PrescribedBC(JHI, T, f2)
    step.PrescribedBC(ILO, T, 0)
    step.PrescribedBC(IHI, T, 0)
    step.HeatGeneration(ALL, 0)
    step.run()
    Tn = solution(V.mesh.coord)
    err = sqrt(mean((step.dofs.flatten()-Tn)**2)) / sqrt(mean(Tn**2))
    assert err < 5e-3
Exemplo n.º 3
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def plate_with_hole(size=.05):
    fd = lambda p: dm.ddiff(dm.drectangle(p, -1, 1, -1, 1),
                            dm.dcircle(p, 0, 0, 0.5))
    fh = lambda p: 0.05 + 0.3 * dm.dcircle(p, 0, 0, 0.5)
    p, t = dm.distmesh2d(fd, fh, size, (-1, -1, 1, 1), [(-1, -1), (-1, 1),
                                                        (1, -1), (1, 1)])
    return p, t
Exemplo n.º 4
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def rectangle_with_circular_hole():
    """Rectangle with circular hole, refined at circle boundary"""
    fd = lambda p: dm.ddiff(dm.drectangle(p, -1, 1, -1, 1),
                            dm.dcircle(p, 0, 0, 0.5))
    fh = lambda p: 0.05 + 0.3 * dm.dcircle(p, 0, 0, 0.5)
    return dm.distmesh2d(fd, fh, 0.05, (-1, -1, 1, 1), [(-1, -1), (-1, 1),
                                                        (1, -1), (1, 1)])
Exemplo n.º 5
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def test_heat_transfer_5():
    def solution(x, q0=1., k=1., N=20):
        def fun(n):
            al = .5 * (2. * n - 1.) * pi
            top = (-1)**n*cos(al*x[:,1])*cosh(al*x[:,0])
            bot = al**3*cosh(al)
            return top / bot
        return q0/2/k*((1-x[:,1]**2)+4.*sum([fun(n) for n in range(1,N)], 0))
    random.seed(190) # Always the same results
    fd = lambda p: dm.drectangle(p, 0, 1, 0, 1)
    fh = dm.huniform
    coord, elecon = dm.distmesh2d(fd, fh, .025, (0, 0, 1, 1),
                                  [(0, 0),(0, 1),(1, 0),(1, 1)])
    V = FiniteElementModel()
    V.Mesh(p=coord, t=elecon)
    V.Material('Material-1')
    V.materials['Material-1'].IsotropicThermalConductivity(1.)
    V.ElementBlock('ElementBlock1', ALL)
    V.AssignProperties('ElementBlock1', DiffussiveHeatTransfer2D3, 'Material-1')
    step = V.HeatTransferStep()
    step.PrescribedBC(IHI, T)
    step.PrescribedBC(JHI, T)
    step.HeatGeneration(ALL, 1)
    step.run()
    Tn = solution(V.mesh.coord)
    err = sqrt(mean((step.dofs.flatten()-Tn)**2)) / sqrt(mean(Tn**2))
    assert err < 1e-4
Exemplo n.º 6
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def square():
    """Square, with size function point and line sources"""
    fd = lambda p: dm.drectangle(p,0,1,0,1)
    fh = lambda p: np.minimum(np.minimum(
        0.01+0.3*abs(dm.dcircle(p,0,0,0)),
        0.025+0.3*abs(dm.dpoly(p,[(0.3,0.7),(0.7,0.5)]))), 0.15)
    return dm.distmesh2d(fd, fh, 0.01, (0,0,1,1), [(0,0), (1,0), (0,1), (1,1)])
Exemplo n.º 7
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def plate_with_hole(size=.05):
    fd = lambda p: dm.ddiff(dm.drectangle(p,-1,1,-1,1),
                            dm.dcircle(p,0,0,0.5))
    fh = lambda p: 0.05+0.3*dm.dcircle(p,0,0,0.5)
    p, t = dm.distmesh2d(fd, fh, size, (-1,-1,1,1),
                         [(-1,-1),(-1,1),(1,-1),(1,1)])
    return p, t
Exemplo n.º 8
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def square():
    """Square, with size function point and line sources"""
    fd = lambda p: dm.drectangle(p, 0, 1, 0, 1)
    fh = lambda p: np.minimum(
        np.minimum(0.01 + 0.3 * abs(dm.dcircle(p, 0, 0, 0)), 0.025 + 0.3 * abs(
            dm.dpoly(p, [(0.3, 0.7), (0.7, 0.5)]))), 0.15)
    return dm.distmesh2d(fd, fh, 0.01, (0, 0, 1, 1), [(0, 0), (1, 0), (0, 1),
                                                      (1, 1)])
Exemplo n.º 9
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def test_write_fe_results():
    from distmesh import drectangle, distmesh2d, huniform
    random.seed(190) # Always the same results
    fd = lambda p: drectangle(p, -1, 1, -1, 1)
    fh = huniform
    coord, elecon = distmesh2d(fd, fh, .1, (-1, -1, 1, 1),
                               [(-1, -1),(-1, 1),(1, -1),(1, 1)])
    jobid = 'Job'
    nodlab = range(coord.shape[0])
    nodmap = dict([(n,n) for n in nodlab])
    elelab = range(elecon.shape[0])
    elemap = dict([(n,n) for n in elelab])
    eletyp = [element_family(2,3)] * elecon.shape[0]
    scal = random.rand(coord.shape[0])
    vect = random.rand(coord.shape[0]*2).reshape(-1,2)
    tens = random.rand(elecon.shape[0]*9).reshape(-1,9)
    symt = random.rand(elecon.shape[0]*6).reshape(-1,6)
    kwds = dict(scal=scal,vect=vect,tens=tens,symt=symt)
    u = zeros_like(coord)
    u[:,0] = 1
    WriteFEResults(jobid, coord, nodmap, elemap, eletyp, elecon, u=u, **kwds)
    filename = jobid+'.vtu'
    WriteVTUMesh(filename, coord, nodlab, elelab, eletyp, elecon, check=1)
    os.remove(filename)
Exemplo n.º 10
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def test_write_fe_results():
    from distmesh import drectangle, distmesh2d, huniform
    random.seed(190) # Always the same results
    fd = lambda p: drectangle(p, -1, 1, -1, 1)
    fh = huniform
    coord, elecon = distmesh2d(fd, fh, .1, (-1, -1, 1, 1),
                               [(-1, -1),(-1, 1),(1, -1),(1, 1)])
    jobid = 'Job'
    nodlab = range(coord.shape[0])
    nodmap = dict([(n,n) for n in nodlab])
    elelab = range(elecon.shape[0])
    elemap = dict([(n,n) for n in elelab])
    eletyp = [ElementFamily(2,3)] * elecon.shape[0]
    scal = random.rand(coord.shape[0])
    vect = random.rand(coord.shape[0]*2).reshape(-1,2)
    tens = random.rand(elecon.shape[0]*9).reshape(-1,9)
    symt = random.rand(elecon.shape[0]*6).reshape(-1,6)
    kwds = dict(scal=scal,vect=vect,tens=tens,symt=symt)
    u = zeros_like(coord)
    u[:,0] = 1
    WriteFEResults(jobid, coord, nodmap, elemap, eletyp, elecon, u=u, **kwds)
    filename = jobid+'.vtu'
    WriteVTUMesh(filename, coord, nodlab, elelab, eletyp, elecon, check=1)
    os.remove(filename)
Exemplo n.º 11
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def rectangle_with_circle_at_centre():
    # Does not terminate!
    fd = lambda p: dm.ddiff(dm.drectangle(p, 0, 20, 0, 12),
                            dm.dcircle(p, 10, 6, 4))
    return dm.distmesh2d(fd, dm.huniform, 0.5, (0, 0, 20, 12), max_iter=100)
Exemplo n.º 12
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def rectangle_with_circle_at_corner():
    # Does not terminate!
    fd = lambda p: dm.ddiff(dm.drectangle(p, 0, 10, 0, 6),
                            dm.dcircle(p, 10, 0, 4))
    return dm.distmesh2d(fd, dm.huniform, 0.9, (0, 0, 10, 6))
Exemplo n.º 13
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def rectangle_with_circle_at_centre():
    # Does not terminate!
    fd = lambda p: dm.ddiff(dm.drectangle(p,0,20,0,12), dm.dcircle(p,10,6,4))
    return dm.distmesh2d(fd, dm.huniform, 0.5, (0, 0, 20, 12), max_iter=100)
Exemplo n.º 14
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def fdout(p):
    return dm.dunion(dm.dunion(dm.dcircle(p,0,0,rad), dm.drectangle(p,0.0,2*rad, -rad,rad)), dm.dcircle(p,2*rad,0,rad))
Exemplo n.º 15
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	def __init__(self, lx, ly, cx, cy, r):
		fd = lambda p: dm.ddiff(dm.drectangle(p,-lx,lx,-ly,ly), dm.dcircle(p,cx,cx,r))
		fh = lambda p: 0.05+0.03*dm.dcircle(p,cx,cy,r)	
		p, t = dm.distmeshnd(fd, fh, 0.5, (-lx,-ly,lx,ly),[(-lx,-ly),(-lx,ly),(lx,-ly),(lx,ly)])
		self.nodes = p
		self.conn = t
Exemplo n.º 16
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def uniform_plate(size=.05):
    fd = lambda p: dm.drectangle(p, -1, 1, -1, 1)
    fh = dm.huniform
    p, t = dm.distmesh2d(fd, fh, size, (-1, -1, 1, 1), [(-1, -1), (-1, 1),
                                                        (1, -1), (1, 1)])
    return p, t
Exemplo n.º 17
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def simple_rect():
    fd = lambda p: dm.drectangle(p,0,1,0,1)
    return dm.distmesh2d(fd, dm.huniform, 0.1, (0, 0, 1, 1), max_iter=100)
Exemplo n.º 18
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def rectangle_with_circle_at_corner():
    # Does not terminate!
    fd = lambda p: dm.ddiff(dm.drectangle(p,0,10,0,6), dm.dcircle(p,10,0,4))
    return dm.distmesh2d(fd, dm.huniform, 0.9, (0, 0, 10, 6))
Exemplo n.º 19
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def uniform_plate(size=.05):
    fd = lambda p: dm.drectangle(p, -1, 1, -1, 1)
    fh = dm.huniform
    p, t = dm.distmesh2d(fd, fh, size, (-1, -1, 1, 1),
                         [(-1, -1),(-1, 1),(1, -1),(1, 1)])
    return p, t
Exemplo n.º 20
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def simple_rect():
    fd = lambda p: dm.drectangle(p, 0, 1, 0, 1)
    return dm.distmesh2d(fd, dm.huniform, 0.1, (0, 0, 1, 1), max_iter=100)
Exemplo n.º 21
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import distmesh as dm
fd = lambda p: dm.ddiff(dm.drectangle(p,-1,1,-1,1), dm.dcircle(p,0,0,0.5))
fh = lambda p: 0.05+0.3*dm.dcircle(p,0,0,0.5)
p, t = dm.distmesh2d(fd, fh, 0.05, (-1,-1,1,1), [(-1,-1),(-1,1),(1,-1),(1,1)])
Exemplo n.º 22
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def rectangle_with_circular_hole():
    """Rectangle with circular hole, refined at circle boundary"""
    fd = lambda p: dm.ddiff(dm.drectangle(p,-1,1,-1,1), dm.dcircle(p,0,0,0.5))
    fh = lambda p: 0.05+0.3*dm.dcircle(p,0,0,0.5)
    return dm.distmesh2d(fd, fh, 0.05, (-1,-1,1,1),
                         [(-1,-1),(-1,1),(1,-1),(1,1)])