A dispersive wave hydro-sediment-morphodynamic model developed by complementing the shallow water (SHSM) equations with term from Green–Naghdi is presented. numerical solution algorithm for based on second-order Strang operator splitting The partitioned into two parts, (1) SHSM and (2) correction part, which are discretized using discontinuous Galerkin finite element methods. This technique pro...

On the basis of analysis thermoelastic motion, current research develops a novel model modified thermoelasticity. The rotating long hollow cylinders with fixed surfaces are considered in generalized Moore–Gibson–Thompson (MGTTE) framework, including Ohm’s law. made material that rotates at uniform rotational speed and is elastic transverse direction. set equations for MGT heat conduction new bu...

This paper focuses on the temporal and spatial evolutions of critical flow under unsteady rapidly varied conditions, which is defined based different viewpoints steady gradually conditions in classical fluid mechanics theory. So far, fundamental theory largely unknown for conditions. Taking a Gauss-type weir as an example, this work investigates comprehensively comparatively influences unsteadi...

In the current article, in presence of thermal and diffusion processes, equations governing elastic materials through thermodiffusion are obtained. The Moore–Gibson–Thompson (MGT) equation modifies defines for conduction mass that occur solids. This modification is based on adding heat relaxation times Green–Naghdi Type III (GN-III) models. an unbounded medium with a cylindrical hole, built mod...

Extended shallow water wave equations are derived, using the method of asymptotic expansions, from Euler (or wave) equations. These extended models valid one order beyond usual weakly nonlinear, long approximation, incorporating all appropriate dispersive and nonlinear terms. Specifically, first we derive Korteweg–de Vries (KdV) equation, then proceed with Benjamin–Bona–Mahony Camassa–Holm in (...

The main objective of this work is to study the homogeneous thermoelastic interactions in an isotropic hollow thin cylinder immersed electric–magnetic field using linear Moore–Gibson–Thompson theory thermoelasticity, taking into account generalized Ohm’s law. MGT system equations for new model created by incorporating a relaxation period Green–Naghdi type III framework. In addition, Maxwell tha...