Work of Dixon, Harvey, Vafa and Witten in the 80’s ([DHVW85]) introduced a notion of Euler characteristic (for quotients of a torus by a finite group) which became known as the physicist’s orbifold Euler number. In the 90’s V. Batyrev introduced a notion of stringy Euler number ([Bat99b]) for ‘arbitrary Kawamata log-terminal pairs’, proving that this number agrees with the physicist’s orbifold ...

A class of three-dimensional initial data characterized by uniformly large vorticity is considered for the 3D incompressible Euler equations in bounded cylindrical domains. The fast singular oscillating limits of the 3D Euler equations are investigated for parametrically resonant cylinders. Resonances of fast oscillating swirling Beltrami waves deplete the Euler nonlinearity. These waves are ex...

sieve trays are widely used in the gas- liquid contactors such as distillation and absorption towers. in this article, a three-dimensional, two phase cfd model using euler-euler framework was developed to simulate a distillation tower with two sieve trays. hydrodynamic simulation of air and water system in different rates of gas phase was carried out and velocity distribution parameters, clear ...