a0 = 1 n0 = 1 n1 = 0.5 a1 = -(a0 * n0) / n1 v[0] = a0 * sin(pi * n0 * x[0]) * cos(pi * n1 * x[1]) v[1] = a1 * cos(pi * n0 * x[0]) * sin(pi * n1 * x[1]) else: a0 = 1 a1 = 1 n0 = 2 n1 = 2 n2 = 0.5 a2 = -(a0 * n0 + a1 * n1) / n2 v[0] = a0 * sin(pi * n0 * x[0]) * cos(pi * n1 * x[1]) * cos( pi * n2 * x[2]) v[1] = a1 * cos(pi * n0 * x[0]) * sin(pi * n1 * x[1]) * cos( pi * n2 * x[2]) v[2] = a2 * cos(pi * n0 * x[0]) * cos(pi * n1 * x[1]) * sin( pi * n2 * x[2]) mts = Mountains(mydomain, eps=EPS) while t < T_END: print("STEP ", t) mts.setVelocity(v * cos(OMEGA * t)) Z = mts.update() saveVTK("state.%d.vtu" % n, sol=Z, v=mts.getVelocity()) print("Integral(Z)=", integrate(Z), Lsup(mts.getVelocity()[DIM - 1])) n += 1 t += mts.getSafeTimeStepSize()
#for d in range(DIM): #print("range %d-velocity "%d,inf(v[d]),sup(v[d])) #print("Courant = ",inf(dom.getSize()/(length(v)+1e-19)), inf(dom.getSize()**2)) print("<%s> flow solver completed."%time.asctime()) n+=1 t+=dt #print("influx= ",integrate(inner(v,dom.getNormal())), sqrt(integrate(length(v)**2,FunctionOnBoundary(dom))), integrate(1., FunctionOnBoundary(dom))) print("<%s> Time step %d (t=%e) completed."%(time.asctime(),n,t)) #====================== setup temperature problem ======================== heat.setValue(v=v,Q=CHI_REF*flow.getTau()**2/flow.getCurrentEtaEff()) dt=heat.getSafeTimeStepSize() print("<%s> New time step size is %e"%(time.asctime(),dt)) #=========================== setup topography ============================ if CREATE_TOPO: dt=min(mts.getSafeTimeStepSize()*0.5,dt) #print("<%s> New time step size is %e"%(time.asctime(),dt)) #print("<%s> Start time step %d (t=%e)."%(time.asctime(),n+1,t+dt)) # # solve temperature: # T=heat.getSolution(dt) print("Temperature range ",inf(T),sup(T)) print("<%s> temperature update completed."%time.asctime()) #============================== analysis ================================= # # .... Nusselt number # dTdz=grad(T)[DIM-1] Nu=1.-integrate(v[DIM-1]*T)/integrate(dTdz) eta_bar=integrate(flow.getTau())/integrate(flow.getTau()/flow.getCurrentEtaEff())
if DIM==2: a0=1 n0=1 n1=0.5 a1=-(a0*n0)/n1 v[0]=a0*sin(pi*n0*x[0])* cos(pi*n1*x[1]) v[1]=a1*cos(pi*n0*x[0])* sin(pi*n1*x[1]) else: a0=1 a1=1 n0=2 n1=2 n2=0.5 a2=-(a0*n0+a1*n1)/n2 v[0]=a0*sin(pi*n0*x[0])* cos(pi*n1*x[1])* cos(pi*n2*x[2]) v[1]=a1*cos(pi*n0*x[0])* sin(pi*n1*x[1])* cos(pi*n2*x[2]) v[2]=a2*cos(pi*n0*x[0])* cos(pi*n1*x[1])* sin(pi*n2*x[2]) mts=Mountains(mydomain,eps=EPS) while t<T_END: print("STEP ", t) mts.setVelocity(v*cos(OMEGA*t)) Z=mts.update() saveVTK("state.%d.vtu"%n,sol=Z, v=mts.getVelocity()) print("Integral(Z)=",integrate(Z),Lsup(mts.getVelocity()[DIM-1])) n+=1 t+=mts.getSafeTimeStepSize()
#for d in range(DIM): #print("range %d-velocity "%d,inf(v[d]),sup(v[d])) #print("Courant = ",inf(dom.getSize()/(length(v)+1e-19)), inf(dom.getSize()**2)) print("<%s> flow solver completed." % time.asctime()) n += 1 t += dt #print("influx= ",integrate(inner(v,dom.getNormal())), sqrt(integrate(length(v)**2,FunctionOnBoundary(dom))), integrate(1., FunctionOnBoundary(dom))) print("<%s> Time step %d (t=%e) completed." % (time.asctime(), n, t)) #====================== setup temperature problem ======================== heat.setValue(v=v, Q=CHI_REF * flow.getTau()**2 / flow.getCurrentEtaEff()) dt = heat.getSafeTimeStepSize() print("<%s> New time step size is %e" % (time.asctime(), dt)) #=========================== setup topography ============================ if CREATE_TOPO: dt = min(mts.getSafeTimeStepSize() * 0.5, dt) #print("<%s> New time step size is %e"%(time.asctime(),dt)) #print("<%s> Start time step %d (t=%e)."%(time.asctime(),n+1,t+dt)) # # solve temperature: # T = heat.getSolution(dt) print("Temperature range ", inf(T), sup(T)) print("<%s> temperature update completed." % time.asctime()) #============================== analysis ================================= # # .... Nusselt number # dTdz = grad(T)[DIM - 1] Nu = 1. - integrate(v[DIM - 1] * T) / integrate(dTdz) eta_bar = integrate(flow.getTau()) / integrate(