A flow field over a rigid wavy surface is numerically generated. The general concept of the large eddy simulation that captures the large scale flow structure is utilized. A coordinate transformation scheme is developed to transform any wavy surface to a flat surface. The numerical computations are carried out in the co ~ domain. The subgrid scales are resolved by utilizing a Smagorinsky subgri...

This paper presents a numerical model based on one-dimensional Beji and Nadaoka's Extended Boussinesq equations for simulation of periodic wave shoaling and its decomposition over morphological beaches. A unique Galerkin finite element and Adams-Bashforth-Moulton predictor-corrector methods are employed for spatial and temporal discretization, respectively. For direct application of linear fini...

The purposes of this work are to study the $L^{2}$-stability a Navier-Stokes type model for non-stationary flow in porous media proposed by Hsu and Cheng 1989 develop Lagrange-Galerkin scheme with Adams-Bashforth method solve that numerically.The stability estimate is obtained thanks presence nonlinear drag force term which corresponds Forchheimer term. We derive extending idea characteristics ...

In this paper the Benettin-Wolf algorithm to determine all Lyapunov exponents adapted a class of non-commensurate fractional-order systems modeled by Caputo's derivative and corresponding Matlab code are presented. The continues work started in [Danca & Kuznetsov, 2018], where commensurate is given. To integrate extended system, Adams-Bashforth-Moulton for fractional differential equations util...

In this study, we propose new illustrative and effective modeling to point out the behaviors of Hepatitis-B virus (Hepatitis-B). Not only do consider mathematical modeling, equilibria, stabilities, existence–uniqueness analysis model, but also, make numerical simulations by using Adams–Bashforth scheme. However, apply parameter estimation method determine our model parameters find curve that be...