In order to enhance the mixing efficiency, the effects of spanwise curvature, spanwise velocity and Mach number are studied by the method of DNS.

In this paper,the three-dimensional (3-D) compressible mixing layers with spanwise curvature was discussion.

Some important mechanical phenomena are analyzed,such as the strain in the transverse direction,longitudinal direction and direction of fiber,flexural torque and longitudinal curvature during the bending process.

3D finite element models including flow field were set up and the free surface change of flow field,the action of air layer,the effect of longitudinal curvature and velocity on hydraulic pressure were studied in course of the water entry.

The derivative of radial curvature on the model surface is used as the second pass texture mapping coordinates,by a calculation using Euler formula.

Let　M　be　an　ndimension　connect　complete　Riemannian　manifold,p∈M,its　minimal　radial　curvature　Kminp≥1　,if　d(p)=d(M)>π/2,then　M　is　homeomorphic　to　Sn,where　d(p)=supq∈Md(p,q),d(·,·)　is　the　distance　function　on　M　,d(M)　is　the　diameter　of　M.

We use Hessian comparison theorem to study the constant boundary-value problem for harmonic maps with potentialdefined on manifolds with non-positive radial curvature, then we also study the instability of p-harmonic maps with potential, prove some Liouville theorems.

This paper uses parametric quinary Bézier curve to interpolate a given special curve, whose position, tangent direction, curvature vector and torsion are prescribed at each endpoint.

The time evolution of these PDEs seeks to minimize a cost functional, which is an increasing function of the directional curvature magnitude of the image intensity function.

The PH quintic has continuous unit tangents and signed curvature, and its arclength function is the polynomial of its parameter.