A computational approach for shallow water forced Korteweg–De Vries equation on critical flow over a hole with three fractional operators
Abstract The Korteweg–De Vries (KdV) equation has always provided a venue to study and
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …
generalizes diverse physical phenomena. The pivotal aim of the study is to analyze the …
[PDF][PDF] Solution for fractional forced KdV equation using fractional natural decomposition method
The fractional natural decomposition method (FNDM) is employed in the present
investigation to find the solution for fractional forced Korteweg-de Vries (FF-KdV) equation …
investigation to find the solution for fractional forced Korteweg-de Vries (FF-KdV) equation …
[LIVRE][B] Gravity-capillary free-surface flows
JM Vanden-Broeck - 2010 - books.google.com
Free surface problems occur in many aspects of science and of everyday life such as the
waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a …
waves on a beach, bubbles rising in a glass of champagne, melting ice, pouring flows from a …
Steady two-dimensional free-surface flow past disturbances in an open channel: solutions of the Korteweg–De Vries equation and analysis of the weakly nonlinear …
BJ Binder - Fluids, 2019 - mdpi.com
Two-dimensional free-surface flow past disturbances in an open channel is a classical
problem in hydrodynamics—a problem that has received considerable attention over the last …
problem in hydrodynamics—a problem that has received considerable attention over the last …
[HTML][HTML] Study of fractional forced KdV equation with Caputo–Fabrizio and Atangana–Baleanu–Caputo differential operators
It is essential for mathematicians, physicists, and engineers to construct fractional
mathematical models for specific phenomena and develop numerical or analytical solutions …
mathematical models for specific phenomena and develop numerical or analytical solutions …
A numerical method for finding solution of the distributed‐order time‐fractional forced Korteweg–de Vries equation including the Caputo fractional derivative
In this paper, for the first time, the distributed‐order time‐fractional forced Korteweg–de Vries
equation is studied. We use a numerical method based on the shifted Legendre operational …
equation is studied. We use a numerical method based on the shifted Legendre operational …
Numerical investigations of unsteady critical flow conditions over an obstacle using three models
S Dai, S ** - Physics of Fluids, 2022 - pubs.aip.org
This paper focuses on the temporal and spatial evolutions of critical flow under unsteady
rapidly varied flow conditions, which is defined based on different viewpoints under steady …
rapidly varied flow conditions, which is defined based on different viewpoints under steady …
Trapped waves between submerged obstacles
Free-surface flows past submerged obstacles in a channel are considered. The fluid is
assumed to be inviscid and incompressible and the flow to be irrotational. In previous work …
assumed to be inviscid and incompressible and the flow to be irrotational. In previous work …
Forced solitary waves and fronts past submerged obstacles
Herein, an efficient numerical method is presented to describe the flow of a liquid in an open
channel with various types of bottom configurations. The method is developed for steady two …
channel with various types of bottom configurations. The method is developed for steady two …
Stability of some stationary solutions to the forced KdV equation with one or two bumps
Free-surface flows past submerged obstacles in a channel are considered. The fluid is
assumed to be inviscid and incompressible and the flow to be irrotational. The first-order …
assumed to be inviscid and incompressible and the flow to be irrotational. The first-order …