Hi,
I have made a two-phase flow code which computes motion of two phases in one
dimension, where the phases are allowed to intermix. This code relies on a
finite difference Jacobian computed using the standard coloring I get from the
DMDA object:
da = PETSc.DMDA().create(
dim=(N_vertical,),
dof=3,
stencil_width=1,
)
I now want to add a variable for the interphase height L_z in addition to a
velocity u_v, giving the velocity of the vapor flowing in to the interface. The
interface will move throughout the grid, meaning that these two variables will
not be coupled to a fixed set of grid cells, but will be coupled to different
sets of three grid cells throughout the simulation.
Questions:
1. Is it possible to create a custom coloring to efficiently compute the finite
difference Jacobian including the interphase height and vapor velocity?
2. How do I revert to computing the full finite difference Jacobian with the
purpose of testing if the interphase model works?
Best regards,
Eirik Jaccheri Høydalsvik
Sintef ER and NTNU EPT