Divergence-conforming isogeometric collocation methods for the incompressible Navier–Stokes equations

Aronson R.M.; Evans J.A.

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Divergence-conforming isogeometric collocation methods for the incompressible Navier–Stokes equations

机译：Divergence-conforming isogeometric collocation methods for the incompressible Navier–Stokes equations

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? 2023 Elsevier B.V.We develop two isogeometric divergence-conforming collocation schemes for incompressible flow. The first is based on the standard, velocity–pressure formulation of the Navier–Stokes equations, while the second is based on the rotational form and includes the vorticity as an unknown in addition to the velocity and pressure. We describe the process of discretizing each unknown using B-splines that conform to a discrete de Rham complex and collocating each governing equation at the Greville abcissae corresponding to each discrete space. Results on mapped domains are obtained by mapping the equations back to a parametric domain using structure-preserving transformations. Numerical results show the promise of the method, including accelerated convergence rates of the three field, vorticity–velocity–pressure scheme when compared to the two field, velocity–pressure scheme.

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《Computer Methods in Applied Mechanics and Engineering》 |2023年第15期|1.1-1.32|共32页
作者
Aronson R.M.; Evans J.A.;
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作者单位

Stanford University;

University of Colorado Boulder;

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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种英语
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Collocation; Divergence-conforming discretizations; Incompressible flow; Isogeometric analysis; Velocity–pressure formulation; Vorticity–velocity–pressure formulation;

Divergence-conforming isogeometric collocation methods for the incompressible Navier–Stokes equations

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