Computational framework for multi-material FSI, shocks, turbulence and fracture

Abstract eng:
The FInite Volume method with Exact two-material Riemann (FIVER) problems is a robust computational framework for the solution of multi-material, Fluid-Structure Interaction (FSI) problems. It was validated for challenging applications characterized by compressible flows, shocks, turbulence, highly nonlinear structures, and dynamic fracture. It couples an Eulerian, finite volume based approach for solving flow problems, with a Lagrangian, finite element approach for solving solid mechanics problems. Most importantly, it enforces the governing fluid-fluid and fluid-structure transmission conditions by solving local, one-dimensional, exact, two-material Riemann problems at evolving interfaces that are embedded in the fluid mesh. First, this framework is reviewed with emphasis on its unique contributions to the field, and the challenging simulations it enabled. Next, recent advances pertaining to the mathematical underpinnings of this framework are presented. Finally, novel capabilities related to viscous flows, porous media, embedded constraints, and sensitivity analysis and optimization are described and demonstrated for realistic applications.

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