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

Authors

  • Tran Vinh Loc Division of Computational Mechanics, University of Ton Duc Thang Ho Chi Minh City C101, Nguyen Huu Tho Street, District 7
  • Thai Hoang Chien
  • Nguyen Xuan Hung Division of Computational Mechanics, University of Ton Duc Thang Ho Chi Minh City C101, Nguyen Huu Tho Street, District 7

DOI:

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

Keywords:

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

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.

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Published

20-09-2013

How to Cite

Loc, T. V., Chien, T. H., & Hung, N. X. (2013). On two-field NURBS-based isogeometric formulation for incompressible media problems. Vietnam Journal of Mechanics, 35(3), 225–237. https://doi.org/10.15625/0866-7136/35/3/900

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