This paper is devoted to the existence of a weak solution system describing self-propelled motion rigid body in viscous fluid whole ℝ 3 . The modelled by incompressible nonhomogeneous Navier-Stokes with nonnegative density. described balance linear and angular momentum. We consider case where slip allowed at fluid-solid interface through Navier condition prove global solution.

Abstract. In this paper we present the results of Fluid-Structure Interaction (FSI) computations of an incompressible solid object and laminar incompressible viscous flows using a combined penalty-projection algorithm. The system consists of a fluid region governed by Navier-Stokes equations and a solid domain described by elastic and hyperelastic structure mechanical equations. In particular w...

In this contribution we investigate a monolithic algorithm to solve the problem of time dependent interaction between an incompressible, possibly nonnewtonian, 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 and discretized by the Q2/P1 finite elements. The resulting set of no...

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...

Numerical manifold method was applied to directly solve Navier-Stokes N-S equations for incompressible viscous flow in this paper, and numerical manifold schemes for N-S equations coupled velocity and pressure were derived based on Galerkin weighted residuals method as well. Mixed cover with linear polynomial function for velocity and constant function for pressure was employed in finite elemen...

The explosive viscous liquid becomes inject to warhead by discharge system. The injection device is consisted of a piston to move down and leads the viscous fluid through the cylindrical pipe towards the end of the duct. Then the viscous fluid leads into a convergent path that will be injected to the warhead or other injection equipment. In this project, the path of viscous fluid flow is divide...

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...

This paper is based on a formulation of the Navier-Stokes equations developed by Iyer and Constantin \cite{Cont} , where velocity field viscous incompressible fluid written as expected value stochastic process. Our contribution to establish this probabilistic representation formula for mild solutions $\mathbb{R}^{d} $.

This paper considers the numerical simulation of incompressible viscous fluid flow in an infinite strip. A mixed spectral method is proposed using the Legendre approximation in one direction and the Legendre rational approximation in another direction. Numerical results demonstrate the efficiency of this approach. Some results on the mixed Legendre-Legendre rational approximation are establishe...

We study the MHD boundary layer flow of an incompressible viscous fluid over a continuously stretching sheet using more suggestive schemes. The fast convergent Dirichlet series solution of governing nonlinear differential equation of MHD flow over nonlinear stretching sheet is obtained. This method has advantages over pure numerical methods in obtaining the derived quantities accurately for var...