Mathematical modelling of bottom deformations in the kinematic wave approximation
Anatoly Krutov, R. K. Choriev, Bekhzod Norkulov, Dildora Mavlyanova, Anvar Shomurodov
Abstract
Abstract 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.
Topics & Concepts
Kinematic waveKinematicsFlow (mathematics)SedimentationMechanicsErosionConservation lawFluid dynamicsClassical mechanicsGeologyMathematicsPhysicsMathematical analysisEcologyBiologyPaleontologySurface runoffSedimentEngineering and Agricultural InnovationsHydrology and Sediment Transport ProcessesSoil erosion and sediment transport