In this article, we describe some approaches to the eecient numerical computation of viscous incompressible ows governed by the Navier-Stokes equations. We concentrate on laminar ows, stationary as well as nonstationary, for Reynolds numbers of moderate size, and in general domains. The emphasis is on spatial discretization by the nite element method. We discuss the treatment of the incompressi...

Incompressible Navier-Stokes equations are reviewed in this work. Three-dimensional Navier-Stokes equations are solved analytically. The Mathematical derivation shows that the solutions for the zero and constant pressure gradients are similar. Descriptions of the proposed formulation and validation against two laminar experiments and three different turbulent flow cases are reported in this pap...

Laminar boundary layer flow of an incompressible viscous fluid along a stretching horizontal cylinder embedded in a porous medium is discussed. The governing system of partial differential equations is reduced to a system of ordinary differential equations. Mathematics has been used to solve such system after obtaining the missed initial conditions. The obtained results are compared with previo...

We can classify the flow of a fluid in a straight circular tube into either laminar or turbulent flow. It is assumed from here on that we assume fully developed incompressible, Newtonian, steady flow conditions. Fully developed flow implies that the tube is long compared with the entrance length in which the velocity distribution at the inlet adjusts itself to the geometry and no longer changes...

Despite recent development of computational fluid dynamics (CFD) research, analysis of computational fluid dynamics of cerebral vessels has several limitations. Although blood is a non-Newtonian fluid, velocity and pressure fields were computed under the assumptions of incompressible, laminar, steady-state flows and Newtonian fluid dynamics. The pulsatile nature of blood flow is not properly ap...

The method of multi-particle collision dynamics (MPCD) and its different implementations are commonly used in the field soft matter physics to simulate fluid flow at micron scale. Typically, coarse-grained particles described by equation state an ideal gas, is rather compressible. This contrast conventional fluids, which incompressible for velocities much below speed sound, can cause inhomogene...

The approximate method for the account of compressibility, which was successfully applied earlier for 2-D problems, is developed for axisymmetric case in the present work. The offered method is analyzed with reference to two mediums: air and water. Comparison of the results of calculations on an offered method and a method of Dorodnitsyn integrate relations has shown acceptable accuracy of the ...

The nonstationary separated incompressible flows around Darrieus and Savonius rotors of vertical-axis wind turbines were investigated through computational simulation using the Reynolds averaged Navier–Stokes equations Spalart–Allmaras turbulence model. implicit finite-volume algorithm, basis which was artificial compressibility method, chosen to obtain numerical solution. series physical exper...