The Least-Squares Finite Element Method Applied to Fluid-Structure Interation Problems
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Fluid-structure interaction problems prove difficult due to the coupling between fluid and solid behavior. Typically, different theoretical formulations and numerical methods are used to solve fluid and structural problems separately. The least-squares finite element method is capable of accurately solving both fluid and structural problems. The implementation of this technique in both fluids and structures was used. Since least-squares finite element methods are applicable to both structures and fluids, a simultaneous solution method was then applied to fluid-structure interaction problems. Not only did the method work for tightly coupled structure and fluid problems, but it was applicable to a simultaneous three-field method where the mesh deformation was also solved using finite elements.
author list (cited authors)
Rasmussen, C., Canfield, R., & Reddy, J.