Numerical Simulation of Flow of a Polymer Solution for Kolmogorov Flow

被引：0

作者：

Denisenko, V. V. ^{[1
]}

Fortova, S. V. ^{[1
]}

Lebedev, V. V. ^{[2
]}

Kolokolov, I. V. ^{[2
]}

机构：

[1] Russian Acad Sci, Inst Comp Aided Design, Moscow 123056, Russia

[2] Russian Acad Sci, Landau Inst Theoret Phys, Chernogolovka 142432, Moscow, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2024年 / 64卷 / 09期

基金：

俄罗斯科学基金会;

关键词：

numerical simulation; elastic turbulence; hydrodynamic instability; Kolmogorov flow; PURELY ELASTIC INSTABILITY; INERTIAL INSTABILITY;

D O I：

10.1134/S0965542524701008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method for approximating the equations of dynamics of a polymer solution flow is proposed. The proposed technique is based on a hybrid approach. The hydrodynamic component of the flow is described by a system of Navier-Stokes equations and is numerically approximated using the linearized Godunov method. The polymer component of the flow is described by a system of equations for the polymer stretching vector and is numerically approximated by the Kurganov-Tadmor method. Using this scheme, stability of the polymer solution flow at low Reynolds numbers in a square cell under the action of an external periodic force is investigated. The instability of this type of flow characterized by a violation of its laminarity is studied by means of a numerical experiment. The spectral characteristics of the polymer solution at low Reynolds numbers are constructed.

引用

页码：2141 / 2150

页数：10

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