Solution to unsteady Navier-Stokes equation by Splitting method in physical orthogonal algebraic curvilinear coordinate system, also termed ‘Non-linear grid system’ is presented. The linear terms in Navier-Stokes equation are solved by CrankNicholson method while the non-linear term is solved by the second order Adams-Bashforth method. This work is meant to bring together the advantage of Split...

In this paper we prove a global well-posedness result for tridimensional Navier-Stokes-Boussinesq system with axisymmetric initial data. This system couples Navier-Stokes equations with a transport equation governing the density.

in this paper, optimal distributed control of the time-dependent navier-stokes equations is considered. the control problem involves the minimization of a measure of the distance between the velocity field and a given target velocity field. a mixed numerical method involving a quasi-newton algorithm, a novel calculation of the gradients and an inhomogeneous navier-stokes solver, to find the opt...

A relativistic Navier-Stokes equation is constructed as the equation of motion of a gauge-invariant bosonic lagrangian. It is shown that the quantum-electrodynamic-like lagrangian is suitable for this purpose with a particular form of gauge field, A µ = φ, A ≡ −c 2 1 − | v| 2 /c 2 , − v. The equation of motion coincides with the classical Navier-Stokes equation at non-relativistic limit | v| ≪ c.

A relativistic Navier-Stokes equation is constructed as the equation of motion of a gauge-invariant bosonic lagrangian. It is shown that the quantum-electrodynamic-like lagrangian is suitable for this purpose with a particular form of gauge field, A µ = φ, A ≡ −c 2 1 − | v| 2 /c 2 , − v. The equation of motion coincides with the classical Navier-Stokes equation at non-relativistic limit | v| ≪ c.

We study spatial analyticity properties of solutions of the Navier-Stokes equation and obtain new growth rate estimates for the analyticity radius. We also study stability properties of strong global solutions of the Navier-Stokes equation with data in H, r ≥ 1/2 and prove a stability result for the analyticity radius.

In the last decade or so, the lattice Boltzmann (LB) method has emerged as a new and effective numerical technique of computational fluid dynamics (CFD).(1-5) Modeling of the incompressible Navier-Stokes equation is among many of its wide applications. Indeed, the lattice Boltzmann equation (LBE) was first proposed to simulate the incompressible NavierStokes equations.(1) The incompressible Nav...

In this paper we prove the existence and uniqueness of strong solutions for the stochastic Navier-Stokes equation in bounded and unbounded domains. These solutions are stochastic analogs of the classical Lions-Prodi solutions to the deterministic Navier-Stokes equation. Local monotonicity of the nonlinearity is exploited to obtain the solutions in a given probability space and this significantl...

In this work, the Characteristic-Based-Split (CBS) scheme is combined with the Minimum Polynomial Extrapolation (MPE) method to solve Navier-Stokes problems. We show the case of natural convection where the Navier--Stokes equations are coupled with the temperature equation. The local temperature difference induces a local density difference within the fluid and this produce the fluid motion. BU...