A TVD Convective-Difference Scheme Using an Arbitrarily Shaped Grid for Analyzing 3-D Unsteady Incompressible Flow. 2nd Report. 3-D Navier-Stokes Equations.

Analysis of a Finite Difference Scheme for a Slow, 3-D Permeable Boundary, Navier-Stokes Flow

Navier-Stokes equation. The expression is the nonlinear part of the equation and features in the approximation of the flow’s Reynold’s number (see Remarks 5.2(3), on page 721 of [2]). In other words, we discretize the linearized , non-homogeneous Navier-Stokes problem, representing the 3-D slow flow of a fluid. A typical example of a slow Navier-Stokes fluid flow is ground water through an aqui...

An Upwind-Differencing Scheme for the Incompressible Navier-Stokes Equations

Solutions to 3-dimensional Navier-Stokes equations for incompressible fluid

This paper gives an example of a periodic, smooth, divergencefree initial vector field and a periodic and bounded external force such that there exist a smooth solution to the 3-dimensional Navier-Stokes equations for incompressible fluid with those initial conditions but the solution cannot be continued to the whole space. The example also shows that the solutions to the Navier-Stokes equation...

Adaptive Wavelet Solvers for the Unsteady Incompressible Navier-Stokes Equations

Pseudo-compressibility Methods for the Unsteady Incompressible Navier-stokes Equations

We present in this paper a up-to-date review on the error analysis of a class of pseudo-compressibility methods and their time discretizations for the unsteady incompressible Navier-Stokes equations.