Velocity calculation of 2D geometric objects by use of surface interpolation in 3D

Abstract

In some engineering applications, it is desirable to calculate the local velocity of geometric objects or boundaries of physical phenomena to understand the deformation speed of the objects or the mechanisms of the physical phenomena. Furthermore, knowledge of the velocity distribution will help designers create better mechanical systems. To determine the velocity of the boundary of a 2D object or 2D phenomenon, we first construct an implicit surface taking the time component into consideration by the radial basis function, then we calculate the local velocities of the boundary using the generated implicit surface. We apply our method to calculate flame velocity in a combustion chamber.

Keywords

• velocity calculation
• 2d object
• implicit surface
• radial basis function