Steady Stokes flow between confocal semi-ellipses

Numerical Solution of Steady Free-Surface Navier-Stokes Flow

The usual time integration approach for solving steady viscous free surface flow problems has several drawbacks. We propose instead an efficient iterative method, which relies on a different but equivalent formulation of the free surface flow problem, involving a so-called quasi free-surface condition. Furthermore, we present a method for analyzing the properties of wave solutions of the discre...

Steady compressible Navier-Stokes flow in a square

We investigate a steady flow of compressible fluid with inflow boundary condition on the density and slip boundary conditions on the velocity in a square domain Q ∈ R. We show existence if a solution (v, ρ) ∈ W 2 p (Q) ×W 1 p (Q) that is a small perturbation of a constant flow (v̄ ≡ [1, 0], ρ̄ ≡ 1). We also show that this solution is unique in a class of small perturbations of the constant flow (...

Steady State Stokes Flow Interpolation for Fluid Control

Fluid control methods often require surface velocities interpolated throughout the interior of a shape to use the velocity as a feedback force or as a boundary condition. Prior methods for interpolation in computer graphics — velocity extrapolation in the normal direction and potential flow — suffer from a common problem. They fail to capture the rotational components of the velocity field, alt...

Numerical and Empirical Investigation of Flow Separation Phenomenon around Semi-buried Pipelines due to Steady Currents

In this paper, in order to understand the flow-pipe interaction more clearly, the variations on flow pattern around semi-buried pipelines due to steady current have physically and numerically been investigated. In physical modeling section, the experiments have been carried out in a flume with 10 meter length, 0.3 meter width and 0.5 meter depth using a P.V.C pipe with 6.35 cm in diameter (for ...

Distance Between Ellipses in 2D