Quadratic finite elements and incompressible viscous flows

David K. Gartling; Clark R. Dohrmann

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Quadratic finite elements and incompressible viscous flows

机译：二次有限元和不可压缩的粘性流

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Pressure stabilization methods are applied to higher-order velocity finite elements for application to viscous incompressible flows. Both a standard pressure stabilizing Petrov-Galerkin (PSPG) method and a new polynomial pressure projection stabilization (PPPS) method have been implemented and tested for various quadratic elements in two dimensions. A preconditioner based on relaxing the incompressibility constraint is also tested for the iterative solution of saddle point problems arising from mixed Galerkin finite element approximations to the Navier-Stokes equations. The preconditioner is demonstrated for BB stable elements with discontinuous pressure approximations in two and three dimensions.

机译：压力稳定方法适用于高阶速度有限元，适用于粘性不可压缩流。标准压力稳定Petrov-Galerkin（PSPG）方法和新的多项式压力投影稳定（PPPS）方法均已实现，并已在二维中针对各种二次元进行了测试。还测试了基于松弛不可压缩约束的预处理器，以解决由Navier-Stokes方程的混合Galerkin有限元逼近引起的鞍点问题的迭代解。预处理器针对BB稳定元件进行了演示，在二维和三维中具有不连续的压力近似值。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2006年第16期|p.1692-1708|共17页
作者
David K. Gartling; Clark R. Dohrmann;
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作者单位

Engineering Sciences Center, Sandia National Laboratories, Albuquerque, NM 87185-0826, United States;

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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 eng
中图分类自动化基础理论;工程基础科学;
关键词
finite element; incompressible flow; pressure stabilization; iterative solver; schur complement;

机译：有限元不可压缩流压力稳定迭代求解器Schur补;

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Quadratic finite elements and incompressible viscous flows

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