Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section

Transparent Boundary Conditions for the Wave Equation in a Channel of Circular Section

A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of...

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Bibliographic Details
Published in:Lobachevskii journal of mathematics Vol. 42; no. 11; pp. 2678 - 2686
Main Author: Zaitsev, N. A.
Format: Journal Article
Language:English
Published: Moscow Pleiades Publishing 01-11-2021
Springer Nature B.V
Subjects:
Algebra
Analysis
Approximation
Boundary conditions
Geometry
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
Wave equations
transparent boundary conditions
Padé approximation
wave equation
solution in circular channel
waveguide
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Summary:A method is proposed for calculating the coefficients of the operator of transparent boundary conditions (TBC) for the wave equation in a circular channel with boundary conditions of the third kind. The method can be applied in the case of a variable speed of sound. The dependence of the accuracy of approximating the convolution kernel of the TBC on the approximation accuracy of its image is investigated. An example of the set of coefficients of the TBC operator is given.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080221110238