NDLI: Methods of Investigation of Equations that Describe Waves in Tubes with Elastic Walls and Application of the Theory of Reversible and Weak Dissipative Shocks

Content Provider	EDP Sciences
Author	Igor Bakholdin
Abstract	Various models of a tube with elastic walls are investigated: with controlled pressure, filled with incompressible fluid, filled with compressible gas. The non-linear theory of hyperelasticity is applied. The walls of a tube are described with complete membrane model. It is proposed to use linear model of plate in order to take the bending resistance of walls into account. The walls of the tube were treated previously as inviscid and incompressible. Compressibility of material of walls and viscosity of material, either gas or liquid are considered. Equations are solved numerically. Three-layer time and space centered reversible numerical scheme and similar two-layer space reversible numerical scheme with approximation of time derivatives by Runge-Kutta method are used. A method of correction of numerical schemes by inclusion of terms with highorder derivatives is developed. Simplified hyperbolic equations are derived.
Page Count	4
File Format	HTM / HTML PDF
e-ISSN	2100014X
Journal	EPJ Web of Conferences
Volume Number	173
DOI	10.1051/epjconf/201817303004
Alternate Webpage(s)	https://articles/epjconf/abs/2018/08/epjconf_mmcp2018_03004/epjconf_mmcp2018_03004.html
Language	English
Publisher	EDP Sciences
Publisher Date	2018-01-01
Access Restriction	Open
Rights Holder	© The Authors, published by EDP Sciences, 2018
Content Type	Text
Resource Type	Article

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Methods of Investigation of Equations that Describe Waves in Tubes with Elastic Walls and Application of the Theory of Reversible and Weak Dissipative Shocks