基于Sisko关系的伪塑性流动的稳定有限元方法

IF 2.5 3区数学 Q1 MATHEMATICS, APPLIED

Computational & Applied Mathematics Pub Date : 2012-01-01 DOI:10.1590/S1807-03022012000100002

M. Bortoloti, J. K. Filho

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引用次数: 0

摘要

在这项工作中，一个一致的稳定混合有限元公式的不可压缩的假塑性流体流动由Sisko本构方程进行数学分析。该公式通过添加控制方程的最小二乘和不可压缩性约束，以及不连续压力近似，允许对速度和压力使用同阶插值来构造。数值结果验证了数学稳定性分析的正确性。数学学科分类:初级:65M60;二级:65 n30。

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A stabilized finite element method to pseudoplastic flow governed by the Sisko relation

In this work, a consistent stabilized mixed finite element formulation for incompressible pseudoplastic fluid flows governed by the Sisko constitutive equation is mathematically analysed. This formulation is constructed by adding least-squares of the governing equations and of the incompressibility constraint, with discontinuous pressure approximations, allowing the use of same order interpolations for the velocity and the pressure. Numerical results are presented to confirm the mathematical stability analysis. Mathematical subject classification: Primary: 65M60; Secondary: 65N30.

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来源期刊

Computational & Applied Mathematics Mathematics-Computational Mathematics

CiteScore

4.50

自引率

11.50%

发文量

352

审稿时长

>12 weeks

期刊介绍： Computational & Applied Mathematics began to be published in 1981. This journal was conceived as the main scientific publication of SBMAC (Brazilian Society of Computational and Applied Mathematics). The objective of the journal is the publication of original research in Applied and Computational Mathematics, with interfaces in Physics, Engineering, Chemistry, Biology, Operations Research, Statistics, Social Sciences and Economy. The journal has the usual quality standards of scientific international journals and we aim high level of contributions in terms of originality, depth and relevance.