The work presents an artificial compressibility method applied to incompressible Navier-Stokes equations for steady as well as for unsteady flows. Two modifications of unsteady numerical solution by an implicit finite volume method are considered. First one uses large artificial compressibility parameter and the iterative solution approximates unsteady evolution of flow. The second approach int...

In this paper the characteristics of unsteady three-dimensional incompressible flows with heat transfer are obtained along with artificial compressibility of Chorin. At first, compatibility equations and pseudo characteristics for three-dimensional flows are derived from five governing equations (continuity equation, Momentum equations in three directions, and energy equation) and then results ...

An implicit muItigrid-driven algorithm for two-dimensional incompressible laminar viscous flows is coupled with a mesh adaptation method to better capture the important features of the flow for time dependent problems. Time dependent calculations are performed implicitly by regarding each time step as a steady-state problem in pseudotime. The method of artificial compressibility is used to solv...

An implicit procedure based on the artificial compressibility formulation is presented for the numerical solution of the two-dimensional incompressible steady Navier-Stokes equations

A 2D Navier-Stokes solver was developed to simulate steady,laminar flow over a backward-facing step of height h. The step expansion ratio=1/2 and the flow at the step was assumed to be fully developed, laminar channel flow. The Reynolds number for this flow was defined as Re=Uh/ν. The 2D incompressible Navier-Stokes equations was solved in generalized curvilinear coordinates using artificial co...

In this paper, the laminar incompressible flow equations are solved by an upwind least-squares meshless method. Due to the difficulties in generating quality meshes, particularly in complex geometries, a meshless method is increasingly used as a new numerical tool. The meshless methods only use clouds of nodes to influence the domain of every node. Thus, they do not require the nodes to be conn...

We analyze the laminar motion of incompressible fluids in self-acting thrust bearings with spiral grooves with inner or external pumping. The purpose of the study is to find some mathematical relations useful to approach the theoretical functionality of these bearings having magnetic controllable fluids as incompressible fluids, in the presence of a controllable magnetic field. This theoretical...

The existence and uniqueness of adapted solutions to the backward stochastic Navier-Stokes equationwith artificial compressibility in two-dimensional bounded domains are shown byMintyBrowder monotonicity argument, finite-dimensional projections, and truncations. Continuity of the solutions with respect to terminal conditions is given, and the convergence of the system to an incompressible flow ...

In this paper, forced and free convection in the cavity is simulated numerically with complex boundary conditions. Temperature changes sinusoidally at the upper and right walls and the temperature of the other walls is kept at zero. The effects of Prandtl and Grashof numbers variations on flow patterns are surveyed. A wide range of materials, e.g. molten metals, gases, water, and coolant liquid...