Shape dependence of wind pressure peak factor statistics in hyperbolic paraboloid roofs

Wind pressure measurements on full scale flat roofs

A flat roof surface is known to be subjected to unusually high suction associated with a pair of vortices created under diagonally skewed wind. Prediction of the wind load and its influence on the roof system is an important engineering topic but wind tunnel testing of this situation is not easy with a scaled model. Considering the physics of wind flow for the most critical case, a possibility ...

A locally optimal triangulation of the hyperbolic paraboloid

Pascal Desnoguès Olivier Devillers y Abstract: Given a set S of data points in IR2 and corresponding data values for a speci c non-convex surface, the unit hyperbolic paraboloid, we consider the problem of nding a locally optimal triangulation of S for the linear approximation of this surface. The chosen optimality criterion will be the L2 norm: it means that we will try to nd directly a triang...

Pressure Dependence of Liquid Vapor Pressure: An Improved Gibbs Prediction

A new model for the vapor phase of a pressurized liquid called "the cluster model: which is originally introduced in this work, along with an accurate equation of state for the liquid phase called the LIR, is used to derive an accurate equation for the vapor pressure of liquid as a function of external pressure. The chemical Potential of both phase have been found to be in good agreement wi...

Efficient Roof Shapes through Wind Flow and Indoor Temperature, Case Studies: Flat Roofs and Domed Roofs

Statistics of matrix products in hyperbolic geometry

We consider central limit theorems and their generalizations for matrix groups acting co-compactly or convex co-compactly on the hyperbolic plane. We consider statistical results for the displacement in the hyperbolic metric, the action on the boundary and the relationship with classical matrix groups.