Open AccessMathematical modelling of bottom deformations in the kinematic wave approximation
Author(s) -
Anatoly Krutov,
Ruzimurat Choriev,
Bekhzod Norkulov,
Dildora Mavlyanova,
Anvar Shomurodov
Publication year - 2021
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/1030/1/012147
Subject(s) - kinematic wave , kinematics , flow (mathematics) , sedimentation , mechanics , erosion , conservation law , fluid dynamics , classical mechanics , geology , mathematics , physics , mathematical analysis , ecology , paleontology , sediment , surface runoff , biology
Two possible approaches for generalizing the kinematic wave model for deformable channels are being discussed in this paper, including the approximation in which the law of conservation of fluid mass includes erosion and sedimentation; and approximation that the fluid flow is determined by the kinematic wave equation without taking into account bottom deformations. Systematic comparison of the results of calculations of self-similar waves for different values of the change in water flow was carried out as well.