This paper presents the development of a 2D high-order solver with spectral difference method for unsteady incompressible Navier–Stokes equations accelerated by a p-multigrid method. This solver is designed for unstructured quadrilateral elements. Time-marching methods cannot be applied directly to incompressible flows because the governing equations are not hyperbolic. An artificial compressib...

The slamming and transition stages are the most important for water entry of wedges, in which wedges experience main hydrodynamic forces. stage is fully investigated by analytical methods, while there few formulations where spray root exceeds top wedge. Motivated that, this paper numerically studies linear with constant varying speeds, assumptions that fluid incompressible, inviscid negligible ...

A general finite-difference procedure is presented for the calculation of steady, two-dimensional 'parti-ally-parabolic' flows, with special reference to turbine cascade problems. It can be used for incompressible, subsonic, supersonic or transonic flows. It can be characterised as an 'iterative space-marching' method. The method is more economical in computer storage than time-marching procedu...

Electron columns confined magnetically in vacuum evolve in ðr; hÞ as N 10 field-aligned rods of charge, or point vortices. Neglecting discreteness, the column evolves as would vorticity in an inviscid, incompressible fluid, governed by the Euler equations. The macroscopic flow dynamics is readily imaged, including effects such as surface waves and inviscid damping, two vortex merger, and gradie...

The paper addresses the nonlinear dynamics of planar inviscid incompressible flows in the straight channel of a finite length. Our attention is focused on the effects of boundary conditions on vorticity dynamics. The renowned Yudovich’s boundary conditions (YBC) are the normal component of velocity given at all boundaries, while vorticity is prescribed at an inlet only. The YBC are fully justif...

steady hydromagnetic couette flow of class-ii of a viscous, incompressible and electrically conducting fluid through a porous medium in a rotating system taking hall current into account is investigated. heat transfer characteristics of the fluid flow are considered taking viscous and joule dissipations into account. it is noticed that there exists flow separation at the moving plate in the sec...

In [1], T. Clopeau, A. Mikelić, and R. Robert studied the inviscid limit of the 2D incompressible Navier-Stokes equations in a bounded domain subject to Navier friction-type boundary conditions. They proved that the inviscid limit satisfies the incompressible Euler equations and their result ultimately includes flows generated by bounded initial vorticities. Our purpose in this article is to ad...

This paper is aimed at eliciting consistency conditions for the existence of unsteady incompressible axisymmetric swirling viscous Beltrami vortices and explicitly constructing solutions that obey as well Navier–Stokes equations. By flow, it meant vorticity, i.e., curl velocity, proportional to velocity any local point in space time. The are derived proportionality coefficient, field external f...

Steady, supersonic, dissipative, three-dimensional, axisymmetric flow is considered. A system of Burgers-type equations is shown to govern the flow field. In inviscid regions the Whitham theory gives the limiting form. Dissipative effects ultimately engulf the inviscid zone and at sufficiently large distances from the body the flow is governed by linear dissipative theory. The flow field is div...