def test_hex_contact_2D_order2_onFace(self):
file="hex_contact_2D_order2_onFace.msh"
ms1=Rectangle(1,1,2,l1=0.5,useElementsOnFace=True)
ms2=Rectangle(1,1,2,l1=0.5,useElementsOnFace=True)
ms2.setX(ms2.getX()+[0,0.5])
my_dom=JoinFaces([ms1,ms2],optimize=False)
self.checker(my_dom,file)
#
p+=dp
U=U_new
print("U:",inf(U),sup(U))
print("P:",inf(p),sup(p))
p_pos=clip(p,small)
gg=grad(U)
vol=gg[0,0]+gg[1,1]+U[0]/r
gamma=sqrt(2*((gg[0,0]-vol/3)**2+(gg[1,1]-vol/3)**2+(U[0]/r-vol/3)**2+(gg[1,0]+gg[0,1])**2/2))
m=whereNegative(eta*gamma-alpha*p_pos)
eta_d=m*eta+(1.-m)*alpha*p_pos/(gamma+small)
print("viscosity =",inf(eta_d),sup(eta_d))
dev_stress=eta_d*(symmetric(gg)-2./3.*vol*kronecker(dom))
#
# step size control:
#
len=inf(dom.getSize())
dt1=inf(dom.getSize()/(length(U)+small))
dt2=inf(0.5*ro*(len**2)/eta_d)
dt=dt1*dt2/(dt1+dt2)
print("new step size = ",dt)
#
# update geometry
#
dom.setX(dom.getX()+U*dt)
t=t+dt
if (istep-1)%w_step==0:saveVTK("u.%d.vtu"%((istep-1)/w_step),p=p,eta=eta_d,U=U_star,U_star=U_star,gamma=gamma)
if istep == 3: 1/0
#
p+=dp
U=U_new
print("U:",inf(U),sup(U))
print("P:",inf(p),sup(p))
p_pos=clip(p,small)
gg=grad(U)
vol=gg[0,0]+gg[1,1]+U[0]/r
gamma=sqrt(2*((gg[0,0]-vol/3)**2+(gg[1,1]-vol/3)**2+(U[0]/r-vol/3)**2+(gg[1,0]+gg[0,1])**2/2))
m=whereNegative(eta*gamma-alpha*p_pos)
eta_d=m*eta+(1.-m)*alpha*p_pos/(gamma+small)
print("viscosity =",inf(eta_d),sup(eta_d))
dev_stress=eta_d*(symmetric(gg)-2./3.*vol*kronecker(dom))
#
# step size control:
#
len=inf(dom.getSize())
dt1=inf(dom.getSize()/(length(U)+small))
dt2=inf(0.5*ro*(len**2)/eta_d)
dt=dt1*dt2/(dt1+dt2)
print("new step size = ",dt)
#
# update geometry
#
dom.setX(dom.getX()+U*dt)
t=t+dt
if (istep-1)%w_step==0:saveVTK("u.%d.vtu"%((istep-1)/w_step),p=p,eta=eta_d,U=U_star,U_star=U_star,gamma=gamma)
if istep == 3: 1/0
OMEGA0 = 1.
ALPHA = pi / 4
T0 = 0
T_END = 2. * pi
dt = 1e-3 * 10 * 10
E = 1.e-3
TEST_SUPG = False or True
if DIM == 2:
dom = Rectangle(NE, NE)
else:
dom = Brick(NE, NE, NE)
u0 = dom.getX()[0]
# saveVTK("u.%s.vtu"%0,u=u0)
# print "XX"*80
dom.setX(2 * dom.getX() - 1)
# set initial value
x = dom.getX()
r = sqrt(x[0]**2 + (x[1] - 1. / 3.)**2)
# u0=whereNegative(r-1./3.)*wherePositive(wherePositive(abs(x[0])-0.05)+wherePositive(x[1]-0.5))
x = Function(dom).getX()
if DIM == 2:
V = OMEGA0 * (x[0] * [0, -1] + x[1] * [1, 0])
else:
V = OMEGA0 * (x[0] * [0, cos(ALPHA), 0] + x[1] *
[-cos(ALPHA), 0, sin(ALPHA)] + x[2] * [0., -sin(ALPHA), 0.])
#===================
fc = TransportPDE(dom, num_equations=1, theta=THETA)
x = Function(dom).getX()
d=length(x0-x0h)
sigma_h2=sqrt(integrate(length(x-x0h)**2 * u_h, Function(dom)))
if DIM == 3: sigma_h2*=sqrt(2./3.)
e=sigma_h2/sqrt(4*E*t)-1
# return a,b,c,e,1./(4*pi*E*t)**(DIM/2.)
return d,e
# return a,b,c,d,e
if DIM==2:
dom=Rectangle(NE,NE)
else:
dom=Brick(NE,NE,NE)
dom.setX(2*dom.getX()-1)
# set initial value
x=dom.getX()
u0=1/(4.*pi*E*T0)**(DIM/2.)*exp(-length(dom.getX()-getCenter(T0))**2/(4.*E*T0))
print("QUALITY ",QUALITY(T0,u0))
x=Function(dom).getX()
if DIM == 2:
V=OMEGA0*(x[0]*[0,-1]+x[1]*[1,0])
else:
V=OMEGA0*(x[0]*[0,cos(ALPHA),0]+x[1]*[-cos(ALPHA),0,sin(ALPHA)]+x[2]*[0.,-sin(ALPHA),0.])
#===================
fc=TransportPDE(dom,num_equations=1,theta=THETA)
x=Function(dom).getX()
