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 present a vortex particle method coupled with a penalization technique to simulate single and multiple swimmers in an incompressible, viscous flow in two and three dimensions. The proposed algorithm can handle arbitrarily deforming bodies and their corresponding non-divergence free deformation velocity fields. The method is validated on a number of benchmark problems with stationary and movi...

This work is concerned with the numerical approximation of the unsteady Stokes flow of a viscous incompressible fluid driven by a threshold slip boundary condition of friction type. The continuous problem is formulated as variational inequality, which is next discretize in time based on backward Euler’s scheme. We prove existence and uniqueness of the solution of the time discrete problem by me...

The evolution of the classical viscous incompressible fluid flow is governed by the NavierStokes equation (NSE). The theory regarding the qualitative properties of solutions to the NSE is far from being complete. For instance, the global regularity for the 3D NSE has been a longstanding open problem. My research has been mainly concerned with regularity problems, well/ill-posedness problems, th...

PMD (Parallel Multi-domain Decomposition) is an MPI based Fortran 90 module which objective is to parallel-solve positive definite linear elliptic second order equations. It has been used to solve unsteady Navier-Stokes equations in order to simulate an axisymmetric incompressible viscous fluid flow inside a centrifugal pump. In this paper, we will present a brief description of the implementat...

The problem of the boundary layer flow of an incompressible viscous fluid over a non-linear stretching sheet is considered. A spectral collocation method is performed in order to find an analytical solution of the governing nonlinear differential equations. The obtained results are finally compared through the illustrative graphs and tables with the exact solution and some well-known results ob...

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