On two-field NURBS-based isogeometric formulation for incompressible media problems

Tran Vinh Loc, Thai Hoang Chien, Nguyen Xuan Hung

Abstract


This paper presents u-p mixed formulation relied on the framework of NURBS-based Isogeometric approach (IgA) for incompressible problems. In mixed method, displacement (velocity) field is approximated using NURBS basis functions with one order higher than that of pressure one. Being different from the standard FEM, the IgA allows to increase (or decrease) easily the order and continuous derivative of interpolated functions. As a result, a family of NURBS elements, which satisfies the inf-supcondition, is obtained. Benchmark examples are given to validate the excellent performance of the method.

Keywords


NURBS; isogeometric; inf-sup; volumetric locking; mixed formulation

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DOI: https://doi.org/10.15625/0866-7136/35/3/900

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