Numerical solutions of 2-D laminar flow over a backward-facing step at high Reynolds numbers are presented. The governing 2-D steady incompressible Navier–Stokes equations are solved with a very efficient finite difference numerical method which proved to be highly stable even at very high Reynolds numbers. Present solutions of the laminar flow over a backward-facing step are compared with expe...

A definitive answer to the question whether artery walls are incompressible is to our opinion not yet categorically provided. Experimental-based evidence on the level of compressibility in artery walls is not easily achieved because of the difficulties associated with the measurement of very small differences in volumes under physiological pressure in these biological tissues. Past experiments ...

It is proved that irrespective of compressibility tokamak steady states with purely poloidal mass flow can not exist in the framework of either magnetohydrodynamics (MHD) or Hall MHD models. Non-existence persists within single fluid plasma models with pressure anisotropy and incompressible flows.

We derive an integral formula for the skin-friction coefficient of compressible boundary layers by extending Elnahhas and Johnson [“On enhancement layer skin friction turbulence: An angular momentum approach,” J. Fluid Mech. 940, A36 (2022)] incompressible layers. The is decomposed into sum contributions laminar coefficient, change dynamic viscosity with temperature, Favre–Reynolds stresses, me...

In this paper, some ideas for solving Navier-Stokes equations using fractional step techniques in combination with domain decomposition methods are introduced. Apart from its traditional use in a rational distribution of the computational work, the domain decomposition (DD) method can be a powerful tool when dealing with complex geometries, which can have moving parts. The CBS (Characteristic B...

Abstract. We investigate a monolithic algorithm to solve the problem of time dependent interaction between an incompressible viscous fluid and an elastic solid. The continuous formulation of the problem and its discretization is done in a monolithic way, treating the problem as one continuum. The Q2/P dis 1 finite elements are used for the discretization and an approximate Newton method with co...

The aim of this study is to develop and validate numerical methods that perform shape optimization in incompressible flows using unstructured meshes. The three-dimensional Euler equations for compressible flow are modified using the idea of artificial compressibility and discretized on unstructured tetrahedral grids to provide estimates of pressure distributions for aerodynamic configurations. ...

The characteristic-based split (CBS) method has been widely used in the finite element community to facilitate the numerical modeling of the Navier-Stokes equations. In this paper a CBS-based finite volume algorithm is introduced for the solution of incompressible Navier-Stokes equations. The proposed method is implemented on a co-located grid arrangement and employs a transient fractional step...