Computational modelling of viscoplastic fluids based on a stabilised finite element method
Computational modelling of viscoplastic fluids based on a stabilised finite element method
复制标题
基于稳定有限元法的粘塑性流体计算模型
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
S. Slijepcević
中科院分区：
文献类型：
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作者：
D. Peric;S. Slijepcević
这项工作涉及粘塑性流体的计算建模。假定所考虑的流动是不可压缩的，而粘塑性定律是通过纳入屈服应力来获得的，在此屈服应力之下，假定流体保持不变形。本文选择Bingham流体作为模型问题，并对其进行了详细的研究。在这项工作中采用的有限元公式是基于稳定有限元方法的一个版本，称为伽辽金/最小二乘法，最初由休斯和同事开发。这种方法允许使用压力和速度场的低等阶插值，从而提供一个有效的有限元框架。Newton - Raphson方法被用于解决由演化问题的时间离散化引起的增量非线性问题。给出了数值例子来说明所描述方法的主要特点。
This work is concerned with computational modelling of viscoplastic fluids. The flows considered are assumed to be incompressible, while the viscoplastic laws are obtained by incorporating a yield stress below which the fluid is assumed to remain non‐deformable. The Bingham fluid is chosen as a model problem and is considered in detail in the text. The finite element formulation adopted in this work is based on a version of the stabilised finite element method, known as the Galerkin/least‐squares method, originally developed by Hughes and co‐workers. This methodology allows use of low and equal order interpolation of the pressure and velocity fields, thus providing an efficient finite element framework. The Newton‐Raphson method has been chosen for solution of the incremental non‐linear problem arising through the temporal discretisation of the evolution problem. Numerical examples are provided to illustrate the main features of the described methodology.