An implicit monolithic formulation based on finite element formulation for incompressible Navier–Stokes equations

被引：0
作者：
A. R. E. Antunes
P. R. M. Lyra
R. B. Willmersdorf
S. M. A. Bastos
机构：
[1] Universidade Federal de Pernambuco,Núcleo de Tecnologia
[2] Universidade Federal de Pernambuco,Departamento de Engenharia Mecânica
[3] Universidade Ferderal de Pernambuco,Departamento de Engenharia Civil
来源：
Journal of the Brazilian Society of Mechanical Sciences and Engineering | 2015年 / 37卷
关键词：
Finite element method; Fractional step; Navier–Stokes equations; Incompressible flow;
D O I：
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中图分类号：
学科分类号：
摘要：
The aim of this paper is to present a mathematical formulation developed using the finite element method with stabilization and fractional step method for the simulation of three-dimensional (3D) laminar incompressible Navier–Stokes problems written in the primitive variables. A second-order stable monolithic formulation was obtained. An edge-based data structure was adopted, and the computational system developed was implemented using FORTRAN 90 and parallel computing concepts allowing the computation of large-scale 3D problems, which will be described in the sequel to the present paper. An alternative form of stabilization was implemented and compared with the one used in the formulation, which represents the core of the developed computational code. Several applications were analyzed in order to verify and validate the computational system developed. The obtained results are in good agreement with the experimental, theoretical, and numerical data available in the literature.
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页码：199 / 210
页数：11
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