How to track a moving Lagrangian boundary with L-periodic in x direction?
I know such problem is solved by Alan Riquier,
Numerical study of a viscous breaking water wave and the limit of vanishing viscosity
In slide p2, the advected mesh seems to be related to
movemesh :
mesh th1 = movemesh(Th, [x+w1*coef, y+w2*coef])
However I am not sure how to do this with a pair of periodic boundary. The difficulty to ensure that the geometry shape is unchanged except for the moving interface. And, how to to deal with upper-left and upper right vertices?
Unfortunately, the paper didn’t show details of the numerical implementation.
Does anyone know how to reproduce it?
Best regards.