Numerical calculation of equivalent moment of inertia for a fluid in a cylindrical container with partitions

A 3-D numerical code was developed to solve the irrotational flow of an ideal fluid inside a moving cylindrical container with partitions. The problem is formulated in terms of two Poisson equations: the velocity equation and the pressure equation. These are expressed in terms of finite differences and solved by a procedure of line over relaxation. From the fluid pressure, the resultant moment on the container was computed, which was then exressed in terms of the equivalent moment of inertia. The code was checked against analytical results of Moiseyev, and an agreement of 2-5 percent even for a sparse mesh was found. The capability of the code was demonstrated by computing the equivalent moment of inertia for various configurations with full and partial partitions.