Variational Approach to the Construction of Difference Systems for Hydrodynamic Equations in Spherical Coordinates

摘要

Difference systems are generated for equations of non-dissipative hydrodynamics. The equations are written in spherical coordinates (R, theta, psi) in the axisymmetrical case, i.e., the case in which the desired quantities are independent of psi. A variational approach is used to produce the difference systems. 9 figures. (ERA citation 04:039809)