An approximate solution by the Galerkin method of a quasilinear equation with a boundary condition containing the time derivative of the unknown function

Mamatov, Alisher; Bakhramov, Sayfiddin; Narmamatov, Alibek

doi:10.1063/5.0057126

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Numerical Solution1

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2023

2024

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Cited by 2 publications

(1 citation statement)

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“…The use of the finite difference method for modeling two-dimensional unsteady movement of water in open channels is effectively applied if the area of determining of the flow variables has the correct form. The use of a finite-difference method for modeling two-dimensional water movement was used in [2][3][4]. If the domain of definition has an incorrect form, the use of the using a finite-difference method in the construction more complicated of a difference grid and on boundary conditions on boundary conditions.…”

Section: Numerical Solutionmentioning

confidence: 99%

Modeling of two-dimensional unsteady water of movement in open channels

Seytov,

Abdurakhmanov,

Kakhkhorov

et al. 2024

E3S Web Conf.

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The article analyzed numerical methods for modeling the unsteady movement of water at water facilities, taking into account the multidimensional distribution of their parameters in space. And also, numerical methods of modeling the unsteady water movement in water management facilities have been developed, taking into account the multidimensional distribution of their parameters in space based on the finite element method, and optional features of using the finite element method for modeling unsteady water movement in water management facilities, taking into account the two-dimension of the water flow in space, have been determined.

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Section: Numerical Solutionmentioning

confidence: 99%