def test_Differential(self):
lam=2.
mu=1.
INC=0.01
domain=ripBrick(20,20,min(99,20*mpisize-1) , d2=mpisize)
xb=FunctionOnBoundary(domain).getX()
m=whereZero(xb[2]-1)
w=m*[0,0,1]
d=m*2.5
acw=Subsidence(domain, w,d, lam, mu )
x=Function(domain).getX()
P0=x[0]*x[1]
args0=acw.getArguments(P0)
d0=acw.getDefect(P0, *args0)
grad_d=acw.getGradient(P0, *args0)
dP=exp(-(length(x-[0.5,0.5,0.5])/0.06)**2)
P1=P0+INC*dP
args1=acw.getArguments(P1)
d1=acw.getDefect(P1, *args1)
ref=abs((d1-d0)/INC)
self.assertLess(abs((d1-d0)/INC-integrate(grad_d* dP)), ref * 1.e-5)
dP=exp(-(length(x-[0.3,0.3,0.5])/0.06)**2)
P2=P0-INC*dP
args2=acw.getArguments(P2)
d2=acw.getDefect(P2, *args2)
ref=abs((d2-d0)/INC)
self.assertLess(abs((d2-d0)/INC+integrate(grad_d* dP)), ref * 1.e-5)
def test_Differential(self):
lam=2.
mu=1.
INC=0.01
domain=ripBrick(20,20,min(99,20*mpisize-1) , d2=mpisize)
xb=FunctionOnBoundary(domain).getX()
m=whereZero(xb[2]-1)
w=m*[0,0,1]
d=m*2.5
acw=Subsidence(domain, w,d, lam, mu )
x=Function(domain).getX()
P0=x[0]*x[1]
args0=acw.getArguments(P0)
d0=acw.getDefect(P0, *args0)
grad_d=acw.getGradient(P0, *args0)
dP=exp(-(length(x-[0.5,0.5,0.5])/0.06)**2)
P1=P0+INC*dP
args1=acw.getArguments(P1)
d1=acw.getDefect(P1, *args1)
ref=abs((d1-d0)/INC)
self.assertLess(abs((d1-d0)/INC-integrate(grad_d* dP)), ref * 1.e-5)
dP=exp(-(length(x-[0.3,0.3,0.5])/0.06)**2)
P2=P0-INC*dP
args2=acw.getArguments(P2)
d2=acw.getDefect(P2, *args2)
ref=abs((d2-d0)/INC)
self.assertLess(abs((d2-d0)/INC+integrate(grad_d* dP)), ref * 1.e-5)
def test_all(self):
domain=ripBrick(50,50,20*mpisize-1, d2=mpisize)
ps=IsostaticPressure(domain, level0=1., coordinates=None)
g=Vector(0., Function(domain))
rho=Scalar(100, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*981.
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
g=Vector([0,0,-10], Function(domain))
rho=Scalar(0, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*26700
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
g=Vector([0,0,-10], Function(domain))
rho=Scalar(100, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*(981.+26700+1000)
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
def test_all(self):
domain=ripBrick(50,50,20*mpisize-1, d2=mpisize)
ps=IsostaticPressure(domain, level0=1., coordinates=None)
g=Vector(0., Function(domain))
rho=Scalar(100, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*981.
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
g=Vector([0,0,-10], Function(domain))
rho=Scalar(0, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*26700
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
g=Vector([0,0,-10], Function(domain))
rho=Scalar(100, Function(domain))
p0=ps.getPressure(g, rho)
p_ref=-(1.-domain.getX()[2])*(981.+26700+1000)
self.assertLess(Lsup(p0-p_ref), 1e-6 * Lsup(p_ref))
def test_PDE(self):
lam=2.
mu=1.
domain=ripBrick(20,20,max(19,2*mpisize-1), d2=mpisize)
xb=FunctionOnBoundary(domain).getX()
m=whereZero(xb[2]-1)
w=m*[0,0,1]
d=m*2.5
acw=Subsidence(domain, w,d, lam, mu )
P0=10.
args0=acw.getArguments(P0)
u=args0[0]
self.assertLess(Lsup(u[0]), 1.e-8)
self.assertLess(Lsup(u[1]), 1.e-8)
self.assertLess(Lsup(u[2]-2.5*domain.getX()[2]), 1.e-8)
dd=acw.getDefect(P0, *args0)
self.assertTrue( dd >= 0.)
self.assertTrue( dd <= 1e-7 * 2.5 )
def test_PDE(self):
lam=2.
mu=1.
domain=ripBrick(20,20,max(19,2*mpisize-1), d2=mpisize)
xb=FunctionOnBoundary(domain).getX()
m=whereZero(xb[2]-1)
w=m*[0,0,1]
d=m*2.5
acw=Subsidence(domain, w,d, lam, mu )
P0=10.
args0=acw.getArguments(P0)
u=args0[0]
self.assertLess(Lsup(u[0]), 1.e-8)
self.assertLess(Lsup(u[1]), 1.e-8)
self.assertLess(Lsup(u[2]-2.5*domain.getX()[2]), 1.e-8)
dd=acw.getDefect(P0, *args0)
self.assertTrue( dd >= 0.)
self.assertTrue( dd <= 1e-7 * 2.5 )