Nonisothermal Flow of Polymer Fluid between Two Coaxial Cylinders

Affiliation:
Novosibirsk State University
Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences
Address: Russian Federation

E. Kruglova

Affiliation:
Novosibirsk State University
Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences
Address: Russian Federation

Journal name

Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki

Edition

Volume 58 Issue 7

Pages

1147-1163

Abstract

An algorithm for solving a stationary nonlinear problem of a nonisothermal flow of an incompressible viscoelastic polymer fluid between two coaxial cylinders is developed on the basis of Chebyshev approximations and the collocation method. In test calculations, the absence of saturation of the algorithm is shown. A posteriori estimates of two error components in the numerical solution—the error of approximation method and the round-off error—are obtained. The behavior of these components as a function of the number of nodes in the spatial grid of the algorithm and the radius of the inner cylinder is analyzed. The calculations show exponential convergence, stability to rounding errors, and high time efficiency of the algorithm developed.

Keywords

polymer fluid dynamics, algorithm without saturation, Chebyshev polynomials, collocation method, error estimates, exponential convergence

Received

11.10.2018

Publication date

11.10.2018

Number of characters

722

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GOST	Blokhin A., Semisalov B., Kruglova E. Nonisothermal Flow of Polymer Fluid between Two Coaxial Cylinders // Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki – 2018. – V. 58. – Issue 7 C. 1147-1163 [Electronic resource]. URL: http://ras.jes.su/zvmmf/s207987840000704-3-1-en (circulation date: 20.04.2024). DOI: 10.31857/S004446690001462-9
MLA	Blokhin, A., Semisalov, B., Kruglova, E. "Nonisothermal Flow of Polymer Fluid between Two Coaxial Cylinders." Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58.7 (2018):1147-1163. DOI: 10.31857/S004446690001462-9
APA	Blokhin A., Semisalov B., Kruglova E. (2018). Nonisothermal Flow of Polymer Fluid between Two Coaxial Cylinders. Zhurnal vychislitelnoi matematiki i matematicheskoi fiziki 58(7), pp.1147-1163 DOI: 10.31857/S004446690001462-9

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