Dear dealii community, I have a fluid-structure interaction type of problem to solve, where on one domain I have the linearized compressible Navier-Stokes equations, and on the other - equation of motion (elastic deformation). The PDEs that I have are time-harmonic, so there is no time dependence. On the F-S interface, I need to satisfy two continuity conditions:
1) *v* = ik**u* (no voids) 2) *τ*(*v*)*n* =* σ*(*u*)*n* (continuity of stress) (*v* - fluid velocity, *u* - structure displacement; *τ*,*σ* - stress tensors; k - constant, i - imaginary number) So far, what I've done is generated a Robin-Robin type of BCs by adding the two conditions together: *v* + a**τ*(*v*)*n* = ik**u* + a**σ*(*u*)*n* where a is a parameter that we can choose (one value for the NS-equations, and another for the eqn of motion). In a test-case that I've built, this method seems to work, but I've always wondered about two things: 1) Is this actually an appropriate approach toward solving such a problem? 2) Choosing the correct a-parameters for both the fluid and the structure is always very difficult and unpredictable. Is there a better way to find the two parameters that will satisfy the conditions aside from just plugging in values and seeing what works? Any help with this would be greatly appreciated. Many thanks, Artur -- The deal.II project is located at http://www.dealii.org/ For mailing list/forum options, see https://groups.google.com/d/forum/dealii?hl=en --- You received this message because you are subscribed to the Google Groups "deal.II User Group" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. For more options, visit https://groups.google.com/d/optout.
