A new numerical method for Nwogu’s (ASCE Journal of Waterway, Port, Coastal and Ocean Engineering 1993; 119:618) two-dimensional extended Boussinesq equations is presented using a linear triangular nite element spatial discretization coupled with a sophisticated adaptive time integration package. The authors have previously presented a nite element method for the one-dimensional form of these e...

We present results with a parallel CFD code that computes steady-state solutions of the Reynolds-Favre averaged Navier-Stokes equations for the simulation of the turbulent motion of compressible and incompressible Newtonian fluids. We report on preliminary experiments on 2D and 3D problems, for both internal and external flow configurations. In this communication we present numerical results wi...

ABSTRACT In this paper, we have been acquired the soliton solutions of the Variant Boussinesq equations. Primarily, we have used the enhanced (G'/G)-expansion method to find exact solutions of Variant Boussinesq equations. Then, we attain some exact solutions including soliton solutions, hyperbolic and trigonometric function solutions of this equation. MATHEMATICS SUBJECT CLASSIFICATION 35 K9...

The classical theory of water waves is based on the theory of inviscid flows. However it is important to include viscous effects in some applications. Two models are proposed to add dissipative effects in the context of the Boussinesq equations, which include the effects of weak dispersion and nonlinearity in a shallow water framework. The dissipative Boussinesq equations are then integrated nu...

Abstract We study a temperature and velocity output tracking problem for two-dimensional room model with the fluid dynamics governed by linearized translated Boussinesq equations. Additionally, includes finite-dimensional models actuation sensing dynamics; thus, complete are an ODE–PDE–ODE cascade. As main contribution, we design low-dimensional internal model-based controller robust of model. ...

In this paper, we explore the strong rotation limit of the rotating and stratified Boussinesq equations with periodic boundary conditions when the stratification is order 1 ([Rossby number] Ro = !, [Froude number] Fr= O(1), as !→ 0). Using the same framework of Embid & Majda (Geophys. Astrophys. Fluid Dyn., vol. 87, 1998, p. 1), we show that the slow dynamics decouples from the fast. Furthermor...

The existence and uniqueness of the global strong solution with small initial data to the three-dimensional density-dependent incompressible viscoelastic fluids is established. The local existence and uniqueness of the global strong solution with small initial data to the three-dimensional compressible viscoelastic fluids is also obtained. A new method is developed to estimate the solution with...