I wonder if anyone know the way to use the Riemann analytic solver(exact) for the fluid-structure interaction.

Most books just explain the way to construct the Riemann solver, not any reflection from the solid wall or the elastic wall. Is there anyway to use the Riemann analytic solver for the fluid-structure interactoin?

Thanks in advance!

Unless you are trying to tightly couple the equations for the fluid and structure together, a Riemann solver is used just like any other algorithm in CFD - solve the fluid equations using the Riemann solver-based algorithm, transfer the surface traction to the structural nodes using some type of coupling software, solve the structural response, transfer displacements and velocities to the fluid nodes, update the fluid response, repeat ad infinitum or convergence. This is how most FSI codes are put together (at least the ones I am familiar with.)

Thanks a lot

I use exact Riemann solver for FSI but I use high order Godunov type methods in Euler variables for both (for fluids-Euler eq. with Tate state eq. and for structures - Euler-Couchi eq. with Hook's law, plasticity and etc. are taken into account for CSD on the corrector step(splitting)), on the contact of course Lagrang, it works stable for explosions and for impact problem with velocities up to 20km/sec. for Tue: before changing CFD also for CSD (it is not so complicated) I used Godunov type (FVM) for fluids and Wilkins for structures, coupling was as Tue wrote, it was not stable for acoustic case, but for force estimation at the beginning of the construction loading it was OK.