some numerical consequences
Posted: Thu Sep 10, 2009 8:13 am
I think because of the resolution of spatial and temporal discretization, there are some deviations from theoretical results, e.g.
<1>KINETIC. both for grain growth and recrystallization, the relationship for sharp interface: v=MP is not perfectly followed. I simulated the shrinking of a round grain (2D), the radius after some time is bigger than the theoretical value, or k is smaller than theoretical[A0-A=kt, k=2*pi*M*sigma, sigma is interfacial energy]. For interface between a unrecrystallized and recrystallized grains, the velocity is also smaller than MP.
<2>MICROSTRUCTRUE. For a round nucleus within a quite big uncrystallized grain, after some time, the growing new grain should be keeping round shape, but actually not. I think it is [/b]ue to the anisotropy of meshing and it exists as long as we use 4-node cells no matter how you refine the time step.
Actually we often deal with complex microstructure with some hardly undermined parameters, so it is not easy to know where the difference between simulation and experiments comes from. I even experienced that some people could simulated a experiment-similar results using a wrong phase field model.
Is there any suggestion of numerical tricks that could be used to diminish those errors?
<1>KINETIC. both for grain growth and recrystallization, the relationship for sharp interface: v=MP is not perfectly followed. I simulated the shrinking of a round grain (2D), the radius after some time is bigger than the theoretical value, or k is smaller than theoretical[A0-A=kt, k=2*pi*M*sigma, sigma is interfacial energy]. For interface between a unrecrystallized and recrystallized grains, the velocity is also smaller than MP.
<2>MICROSTRUCTRUE. For a round nucleus within a quite big uncrystallized grain, after some time, the growing new grain should be keeping round shape, but actually not. I think it is [/b]ue to the anisotropy of meshing and it exists as long as we use 4-node cells no matter how you refine the time step.
Actually we often deal with complex microstructure with some hardly undermined parameters, so it is not easy to know where the difference between simulation and experiments comes from. I even experienced that some people could simulated a experiment-similar results using a wrong phase field model.
Is there any suggestion of numerical tricks that could be used to diminish those errors?