| Author | Message | ||
     nikos adamopoulos (nadam) New member Username: nadam Post Number: 1 Registered: 06-2008 |
I have a system of time dependent equations involving the Hx and Hy components of the magnetic field. I do not work with the magnetic potential A for several reasons, one is that I want to be able to describe the applied magnetic field in the y-direction with a special function. How can I set up my boundary conditions to specify the continuity of the magnetic field across the boundaries of the problem? What is the meaning of natural(Hy) in this case? Thank you. | ||
| Robert G. Nelson (rgnelson) Moderator Username: rgnelson Post Number: 1140 Registered: 06-2003 |
Because FlexPDE places mesh nodes at vertices and sides of mesh cells, so that nodes are shared by adjoining cells, any declared VARIABLE will be automatically continuous across boundaries. The meaning of the Natural BC depends on the way you pose your PDE. See "Natural" in the Help Index. The Natural() BC supplies the value of the integrand of the surface terms generated by integrating second-order derivative terms by parts. This is equivalent to applying the Divergence theorem or Curl theorem to divergence or curl terms that contain further derivatives. The Help section "Technical Notes | Natural Boundary Conditions" discusses examples of the application of this rule. |