Homogeneous difference schemes for solving conjugate problems of hydrodynamics and elasticity
Abstract:
In the preprint we consider various finite-difference approximations of elastic forces in the equations of an ideal fluid hydrodynamics. We construct completely conservative finite-difference schemes for full strain tensor and for approach with the separation of the hydrodynamic pressure. The question of the nonlinear terms in the strain tensor influence on the invariance of results under rotation is discussed.