Physics

The accuracy of MUSCL upwind and Yee-Roe-Davis symmetric TVD schemes for simulating low Mach number flow is studied through a numerical experiment of the 2-D lid driven cavity problem. The steady slate solution is reached by using a marching approach based on the ...

Acoustic receptivity of a Blasius boundary layer in the presence of two dimensional surface inhomogeneity is investigated numerically. It is shown that, an efficient conversion of the acoustics input to an unstable eigenmode of the boundary layer depends on many parameters: the shape of the hump, the height and also on the acoustic amplitude. The location of the surface roughness is dictated by the requirement of the instability wave number at the lower branch of the stability curve derived from the Orr-Sommerfeld equations. Mots clefs: Acoustic, receptivity, Instabilities, Tollmien-Schlichting, Boundary Layer flow

In this manuscript, the injection of a homogeneous jet in a numerical tank is considered to revolve around discussing the limitation of the direct numerical simulation (DNS), to resolve the equations governing the problem of a jet emitted from the bottom of a numerical tank. The investigation has been made in the context of an unsteady, viscous, and incompressible fluid. The numerical resolution of the equations governing the problem is made by the compact Hermitian finite differences method (HFDM) high accuracy Oh2,h4 First, the numerical code used in this work is validated by comparing the profiles of the velocity components at the median of the lid-driven cavity with the results of the literature. Furthermore, to confirm the validity of the present numerical code, an evaluation of mesh domain sensitivity is assessed by comparing the numerical vertical velocity profiles for different steps of y-direction (flow direction) with the analytical solution. Afterward, the aim is to perfo...

This article deals with the liquid seismic effect owing to excitation of lateral base. When the rectangular reservoir contained the contained liquid vibrates, the liquid exerts the hydrodynamic pressure on the reservoir walls and the reservoir bottom. First the theoretical background of the fluid seismic effect on the solid domain of the rectangular reservoir is described in the paper. Thereafter, the rectangular fluid filing excited by the earth surface movement was calculated. The analysis of the liquid effect was situated for locality near Nador city at Morocco and respects of Eurocode recommendations.

In this paper, the goal is to revolve around discussing the stability of the Method of Fundamental Solutions (MFS) for the use case of wave-current interactions. Further, the reliability of Generating-Absorbing Boundary Conditions (GABCs) applied to the wave-current interactions is investigated using the Method of Fundamental Solutions (MFS), in a Numerical Wave Tank (NWT) within the potential theory where the main regular manifestations are the periodicity, and symmetry of traveling waves. Besides, the investigations cover different aspects of currents (coplanar current, without current, and opposing current), and also different water depths. Furthermore, the accuracy and stability of the numerical method (MFS) used in this work is evaluated for different locations and numbers of source points.

The purpose of the work presented in this paper is to study the reflection and transmission coefficients resulting from the interactions of regular waves with a rectangular breakwater sited at the bottom of a tank. The present investigation is devoted to the analysis of the reflection and transmission coefficients within the framework of linearized potential flow theory using two methods, a numerical method based on the improved version of the meshless singular boundary method, and the analytical approach within the plane wave model. The numerical method is first validated by studying the accuracy of the numerical computations with respect to the number of boundary nodes and the location of the vertical boundaries of the computational domain, for different immersion ratios (h/d) and different relative lengths (w/d) of the obstacle. To assess the limitations of the analytical approach, a comparison analysis is carried out between the analytical and numerical results. To improve the c...