SUPG stabilized finite element resolution of the Navier-Stokes equations Applications to water treatment engineering

P. Vellando; J. Puertas; I. Colominas

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SUPG stabilized finite element resolution of the Navier-Stokes equations Applications to water treatment engineering

机译：SUPG Navier-Stokes方程的稳定有限元分辨率在水处理工程中的应用

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摘要

In this paper an analysis of the viscous incompressible flow has been carried out, from the very definition of the governing equations, up to the resolution of some practical problems, passing through the comprehensive study of the stabilized finite element techniques used in their resolution. As a consequence of this analysis, a code based upon a realistic interpretation of the forces has been written, which allows for the modelling of the open channel flow, with optimum results in the resolution of some benchmark and real flow problems related with the wastewater industry.

机译：本文通过对控制方程的定义，到对一些实际问题的解决，通过对解决这些问题的稳定有限元技术的综合研究，对粘性不可压缩流进行了分析。分析的结果是，编写了基于力的真实解释的代码，该代码可以对明渠流进行建模，并能以最佳结果解决与废水行业相关的一些基准和实际流问题。

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来源
《Computer Methods in Applied Mechanics and Engineering》 |2002年第52期|p.5899-5922|共24页
作者
P. Vellando; J. Puertas; I. Colominas;
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作者单位

Group of Numerical Methods in Engineering (GNME), Dpto. de Metodos Matematicos y de Representation, ETS de Ingenieros de Caminos, Canales y Puertos, Universidad de La Coruna, Campus de Elviha, 15071 La Coruna, Spain;

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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
viscous incompressible flow; FEM; navier-stokes; SUPG; wastewater treatment;

机译：粘性不可压缩流有限元航海SUPG;废水处理;

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专利

1. Development and validation of a SUPG finite element scheme for the compressible Navier-Stokes equations using a modified inviscid flux discretization [J] . Kirk BS, Carey GF International Journal for Numerical Methods in Fluids . 2008,第3期

机译：使用改进的无粘性通量离散化技术开发和验证可压缩Navier-Stokes方程的SUPG有限元格式
2. Development and validation of a SUPG finite element scheme for the compressible Navier-Stokes equations using a modified inviscid flux discretization [J] . Kirk BS, Carey GF International Journal for Numerical Methods in Fluids . 2008,第3期

机译：使用改进的无粘性通量离散化技术开发和验证可压缩Navier-Stokes方程的SUPG有限元格式
3. Linearized Navier-Stokes equations for aeroacoustics using stabilized finite elements: Boundary conditions and industrial application to aft-fan noise propagation [J] . Bissuel Alois, Allaire Gregoire, Daumas Laurent, Computers & Fluids . 2018,第期

机译：使用稳定的有限元件线性化Navier-Stokes方程，用于使用稳定的有限元：边界条件和船尾噪声传播的工业应用
4. Stabilized Finite Element Method for Vorticity_Velocity_Pressure Formulation of the Stationary Navier-Stokes Equations [C] . Li Hong-e, Rui Zhu 2010 International Conference on Computational and Information Sciences . 2010

机译：定常Navier-Stokes方程的涡度_速度_压力公式的稳定有限元方法
5. 2-D, 3-D and 4-D anisotropic mesh adaptation for the time-continuous space-time finite element method with applications to the incompressible Navier-Stokes equations. [D] . Tremblay, Pascal. 2008

机译：2D，3D和4D各向异性网格自适应，适用于时间连续的时空有限元方法，并适用于不可压缩的Navier-Stokes方程。
6. A Stabilized Finite Element Method for Modified Poisson-Nernst-Planck Equations to Determine Ion Flow Through a Nanopore [O] . Jehanzeb Hameed Chaudhry, Jeffrey Comer, Aleksei Aksimentiev, -1

机译：修正的Poisson-Nernst-Planck方程的稳定有限元方法用于确定通过纳米孔的离子流
7. On the resolution of the navier-stokes equations by the finite element method using a sups stabilization technique application to some wastewater treatmen problems [O] . Rodríguez-Vellando Fernández-Carvajal Pablo 2001

机译：基于sups稳定技术的有限元法解析航海方程组在某些废水处理中的应用
8. Resolution Par Elements des Equations de Navier-Stokes Compressibles (Finite Element Solution of Navier-Stokes Equations) [R] . Kalfon, D., Volpert, D. 1986

机译：分辨率par Elements des Equations de Navier-stokes Compressibles（Navier-stokes方程的有限元解）

SUPG stabilized finite element resolution of the Navier-Stokes equations Applications to water treatment engineering

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