In this paper, we investigate steady two-dimensional free-surface flows of an inviscid and incompressible fluid emerging from a nozzle, falling under gravity impinging onto horizontal wall. More precisely, for any given atmosphere pressure $$p_{atm}$$ appropriate incoming total flux Q, establish the existence jet with gravity. The two free surfaces initiate smoothly at endpoints nozzle become t...

Abstract The Lax-Wendroff scheme is extended to incompressible fluid flow problems within the framework of artificial compressibility method (ACM) utilizing a “cell-centered finite-volume” Δ-approximation on non-orthogonal non-staggered grid. An ACM induces transformation between conservative and primitive variables; physical relevance bring about “matrix preconditionings”, provoking density pe...

The incompressible limit of a compressible fluid, when the Mach number tends to zero, is a singular limit due to the fact that the governing equations change their type. The propagation rate of the pressure waves become infinite. Based on asymptotic results the multiple pressure variables (MPV-) method is reviewed as it may be used for the construction of numerical methods in this low Mach numb...

Predicting particle dispersion in recirculating two-phase flows is a key issue for reacting flows and a potential application of Large Eddy Simulation (LES) methods. In this study, Euler/Euler and Euler/Lagrange LES approaches are compared in the bluff body configuration from Borée et al. [1] where glass beads are injected into a complex recirculating flow. These tests are performed for non-rea...

Incompressible two dimensional lattice Boltzmann method (LBM) is adopted to simulate flow inside a pipe commonly called Poiseuille flow. Instead of D2Q9 lattice Boltzmann model, we used an incompressible two-dimensional model, D2Q9i to simulate the flow conditions. At the inlet, velocity boundary condition, while at outlet, pressure boundary condition and at the surfaces, no slip boundary condi...