In this paper, a cell vertex finite volume algorithm is presented for the simulation of 3D incompressible fluid flow on unstructured meshes. The algorithm uses an efficient edge-based data structure. The artificial compressibility concept is employed to utilize the continuity equation to couple the pressure and velocity of the fluid. The steady solution is computed using an explicit multi-stage...

The steady incompressible Navier—Stokes equations in primitive variables are coupled by a Poisson equation for the pressure from which the continuity equation is subtracted. The equivalence to the original N-S problem is proved. Fictitious time is added and vectorial operator-splitting is employed leaving the system coupled at each fractionaltime step which allows satisfying the boundary condit...

A natural laminar flow airfoil has been developed jointly by NASA's Dryden Flight Research and Langley Research Centers a s a part of the aircraft energy efficiency (ACEE) program. A NASA flight program incorporating this airfoil into partial wing gloves on the F-111 TACT airplane was scheduled to start in May, 1980. In support of this research effort, Boeing has conducted a n extensive boundar...

This contribution presents and investigates the effects of air entrainment compressibility on shape magnitude wave impacts occurring at crown walls top sea defenses. To this purpose, a new solver, developed in OpenFoam environment to represent interactions with impermeable porous coastal structures, accounting for fluid compressibility, is checked against recent laboratory tests overtopping imp...

This article introduces a second-order direction splitting method for solving the incompressible Navier–Stokes–Boussinesq system in spherical shell region. The equations are solved on overset Yin–Yang grids, combined with coordinate transforms. approach allows to avoid singularities at poles and keeps grid size relatively uniform. downside is that subdivided into two equally sized, overlapping ...

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...

Variable density incompressible flows are governed by parabolic equations. The artificial compressibility method makes these equations hyperbolic-type, which means that they can be solved using techniques developed for compressible flows, such as Godunov-type schemes. While the is well-established, its application to variable has been largely neglected in literature. This paper harnesses recent...

Abstract Fluid dynamic equations are used to model various phenomena arising from physics, engineering, astrophysics, geophysics. One feature is that they take place at different time and length scales it important understand which occur according the use of single or interactions them. From a mathematical point view, these physical behaviours give rise singular limits and, consequently analysi...

Accurate simulation of subsurface flow with detailed geologic description is of great academic and industrial interest. Fully fine-scale simulation is usually too expensive. The multiscale method is developed to capture fine-scale information without solving fine-scale equations. It is more efficient than fine-scale simulation methods and more accurate than traditional upscaling techniques. Pre...