Numerical Framework for High-Speed Compressible Flows

The high-fidelity simulation framework for free-surface flows and fluid-structure interaction (FSI) is developed. The interface-capturing level-set method is used for free-surface motion, that may include wave breaking and other topological changes. The stabilized and multi-scale formulation is used for the fluid mechanics and level-set equations. The underlying numerical formulation globally conserves mass and preserves a sharp air–water interface for the entire length of the simulation. For FSI problems, an advanced structural modeling techniques based on Isogeometric Analysis (IGA) is employed. The bending-stabilized cable formulation is used to model mooring cables. 

The framework is suitable for accurate prediction of wave loading on a structures (ship deck, floating platforms, etc), simulation of turbine arrays (layout optimization and wake-structure interaction), stability analysis under different sea conditions, parametric optimization, air-wave-structure interaction (e.g. floating horizontal- and vertical-axis wind turbines). Current research areas include extension of the framework to handle cavitating flows in submarine and ship propellers. 

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