Numerical modelling of fluid-structure interaction using fictitious domain method: application towards compressible fluid flow

The interactions between a deformable solid and surrounding fluid are non-linear multiphysics prob- \nlem that are crucial for the design of many engineering systems. The fictitious domain method is \none of the numerical methods to solve FSI problems and has been successfully implemented for FSI \nproblems involving incompressible flows. The objective of the present work is to adopt the fictitious \ndomain method to study fluid-structure interaction problems involving compressible fluids. For this \nmethod we are employing Eulerian and Lagrangian finite element formulation for the fluid and solid, \nrespectively, and both bodies are coupled using a Lagrange multiplier. This multiplier allows the \nsolid not to be integral part of the fluid mesh, thus avoiding the need of mesh updating as in case \nof other numerical methods for FSI problems.