薄管结构非牛顿稳态流动图方程的数值研究

IF 1.6 3区数学 Q1 MATHEMATICS Mathematical Modelling and Analysis Pub Date : 2023-10-20 DOI:10.3846/mma.2023.18311

Nikolajus Kozulinas, Grigory Panasenko, Konstantinas Pileckas, Vytenis Šumskas

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引用次数: 0

摘要

对细管结构中的粘性流动进行降维处理，得到了图上具有基尔霍夫型结条件的宏观压力方程。流动的非牛顿流变性在图上产生非线性方程。介绍了一种新的求解二阶非线性图上微分方程的数值方法，并进行了数值试验。

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NUMERICAL STUDY OF THE EQUATION ON THE GRAPH FOR THE STEADY STATE NON-NEWTONIAN FLOW IN THIN TUBE STRUCTURE

The dimension reduction for the viscous flows in thin tube structures leads to equations on the graph for the macroscopic pressure with Kirchhoff type junction conditions in the vertices. Non-Newtonian rheology of the flow generates nonlinear equations on the graph. A new numerical method for second order nonlinear differential equations on the graph is introduced and numerically tested.

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