Non-manifold anisotropic mesh adaptation: application to fluid-structure interaction

A new strategy for high-fidelity unsteady mesh adaptation dealing with fluid-structure interaction (FSI) problems is presented using a partitioned approach. The Euler equations are solved by an edge-based Finite-Volume solver whereas the linear elasticity equations are solved by the finite-element method using the Lagrange P-1 elements. The coupling between both codes is realized by imposing suitable boundary conditions on conforming meshes even at the fluid-structure interface. Small displacements of the structure are assumed and so the mesh is not deformed. The unsteady mesh adaptation process is based on a unique cavity operator which can handle non-manifold geometry, the fluid-structure interface in this work. The computation of a well-documented two-dimensional test case is finally carried out to perform validation of this new strategy as well as a three-dimensional test case to demonstrate our ability to treat complex three-dimensional test cases.

Automated summary

A new strategy for high-fidelity unsteady mesh adaptation dealing with fluid-structure interaction problems is introduced, using a partitioned approach to solve the Euler and linear elasticity equations through Finite-Volume and finite-element methods, respectively. The coupling between the codes is achieved by imposing suitable boundary conditions on conforming meshes, even at the fluid-structure interface, assuming small displacements of the structure without deforming the mesh. The unsteady mesh adaptation process is based on a cavity operator capable of handling non-manifold geometry and is validated through two-dimensional and three-dimensional test cases.