In this work, we deal with the 1D compressible fluid coupled with elastic solid in an Eulerian-Lagrangian system. To facilitate the analysis, the Naviers equation for elastic solid is cast into a 2×2 system similar to the Euler equation but in Lagrangian coordinate. The modified Ghost Fluid Method is employed to treat the fluid-elastic solid coupling, where an Eulerian-Lagrangian Riemann proble...

The stall of an aircraft is one the most dangerous phenomena in aviation world, resulting a sudden loss lift because boundary layer separation. This work aims to delay separation and improve wing aerodynamic performances by introducing bumps cavities on upper surfaces wing. A numerical study effects both flow structures aerodynamics NACA 0012 profile conducted. CFX code has been used perform ca...

using the mean-value theorem for integrals we tried to solved the nonlinear integral equations of hammerstein type . the mean approach is to obtain an initial guess with unknown coefficients for unknown function y(x). the procedure of this method is so fast and don't need high cpu and complicated programming. the advantages of this method are that we can applied for those integral equation...

The Reynolds-averaged Naviers-Stokes (RANS) method coupling with cavitation model is still a practical tool to predict cavitating flows, particularly in industrial applications, due its computational efficiency. However, the compressibility effects induced by are not well considered conventional RANS methods, which often causes blockage of reentrant jet and total steadiness simulated cavity. To...

in this article, we study the analytical solutions of different parabolic heat equations with different boundaryconditions in the form of multi-term fractional differential equations. then we compare these analytical solutions with numerical finite difference methods. this comparison demonstrates the accuracy of the analytical and numerical methods presented here.