Pointwise Mass Conservative Least Squares Isogeometric Analysis for Stokes Problem
Conventional least squares finite element method for incompressible flow does not enforce mass conservation in pointwise, i.e. the velocity field is not exactly divergence free. In this paper, we present a pointwise mass conservative least squares isogeometric analysis for the Stokes problem. The me...
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| Veröffentlicht in: | IOP conference series. Earth and environmental science 2021-03, Vol.701 (1), p.12080 |
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| description | Conventional least squares finite element method for incompressible flow does not enforce mass conservation in pointwise, i.e. the velocity field is not exactly divergence free. In this paper, we present a pointwise mass conservative least squares isogeometric analysis for the Stokes problem. The method utilizes high order smooth basis functions generated from non-uniform rational B-spline (NURBS). Pointwise divergence free velocity field is defined using stream function on each patch of computational domain. Velocity boundary conditions and cross patch continuity are enforced in least square sense. Numerical results are presented for flow past a large circular cylinder in a channel and flow over a backward facing step. The results show improvements on local and global mass conservation. |
| doi_str_mv | 10.1088/1755-1315/701/1/012080 |
| format | Article |
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| subjects | B spline functions Backward facing steps Basis functions Boundary conditions Circular cylinders Computational fluid dynamics Computer applications Conservation Divergence Finite element method Fluid flow Incompressible flow Least squares Mathematical analysis Velocity Velocity distribution |
| title | Pointwise Mass Conservative Least Squares Isogeometric Analysis for Stokes Problem |
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