WebThe periodic boundary is defined by PeriodicBoundary and we define what is inside the boundary in the same way as in DirichletBoundary. … WebThe problem seems to be your implementation of the 2 periodic directions. See this link for help. A map that should work in your case is: # Periodic Boundary Class class PeriodicBC(SubDomain): def __init__(self, tolerance=DOLFIN_EPS, length = 1., length_scaling = 1.):

How to match function values on boundary - FEniCS Q&A

Webfrom dolfin import * # Sub domain for Periodic boundary condition class PeriodicBoundaryLR(SubDomain): # Left boundary is "target domain" G def inside(self, x, on_boundary): return bool (x [ 0] -DOLFIN_EPS and on_boundary) # Map right boundary (H) to left boundary (G) def map(self, x, y): y [ 0] = x [ 0] - 1.0 y [ 1] = x [ 1 ] # Sub … WebBy definition, Dirichlet boundary conditions represent degrees of freedom (dofs) for which we already know the solution. Therefore, we essentially need to provide FEniCS with the … senwick hideaways

Poisson equation with periodic boundary conditions

WebThis solution will allow you to specify a boundary condition on any whole subdomain within your geometry, and each subdomain can have its own separate boundary condition. I am posting this solution here as the old official Fenics QA forum has now closed, and this solution addresses several unanswered questions on those forums as well. Web$\begingroup$ It seems like u is probably a velocity field. I am no expert though. Here is a link to a physical interpretation of the no-slip boundary condition.In oversimplified terms … Webclass PeriodicBoundary (SubDomain): # Left boundary is " target domain" def inside(self, x, on_boundary): return bool (x [ 0] < DOLFIN_EPS and x [ 0 ]> -DOLFIN_EPS and on_boundary) # map right boundary to left boundary def map(self, y,x): y [ 0 ]=x [ 0] - 1.0 y [ 1] = x [ 1 ] pbc = PeriodicBoundary () senwick shore walk