Abstract: | In this work, the modified ghost fluid method is developed to deal with
2D compressible fluid interacting with elastic solid in an Euler-Lagrange
coupled system. In applying the modified Ghost Fluid Method to treat the
fluid-elastic solid coupling, the Navier equations for elastic solid are
cast into a system similar to the Euler equations but in Lagrangian coordinates.
Furthermore, to take into account the influence of material deformation and
nonlinear wave interaction at the interface, an Euler-Lagrange Riemann problem
is constructed and solved approximately along the normal direction of the
interface to predict the interfacial status and then define the ghost fluid
and ghost solid states. Numerical tests are presented to verify the resultant
method. |