Two-dimensional Flow Simulations around a Square Prism with Rounded Corners

Even Pairs and Prism Corners in Square-Free Berge Graphs

Let G be a Berge graph such that no induced subgraph is a 4-cycle or a line-graph of a bipartite subdivision of K4. We show that every such graph G either is a complete graph or has an even pair.

Multistability and symmetry breaking in the two-dimensional flow around a square cylinder.

We use numerical methods to study two-dimensional flow passing a square cylinder at low Reynolds numbers, and observe period-1 and -3 vortices behind the cylinder at the same Reynolds number Re. When Re increases from a small number to a critical value Re(c) approximately equal to 320, the system could change from bistability, which maintains the spatial symmetry, to tristability, which breaks ...

Construction of G2 rounded corners with Pythagorean-hodograph curves

The problem of designing smoothly rounded right–angle corners with Pythagorean–hodograph (PH) curves is addressed. AG corner can be uniquely specified as a single PH cubic segment, closely approximating a circular arc. Similarly, a G corner can be uniquely constructed with a single PH quintic segment having a unimodal curvature distribution. To obtain G corners incorporating shape freedoms that...

Two dimensional incompressible ideal flow around a small obstacle

In this article we study the asymptotic behavior of incompressible, ideal, timedependent two dimensional flow in the exterior of a single smooth obstacle when the size of the obstacle becomes very small. Our main purpose is to identify the equation satisfied by the limit flow. We will see that the asymptotic behavior depends on γ, the circulation around the obstacle. For smooth flow around a si...

Two Dimensional Incompressible Ideal Flow Around a Small Curve