INERTIAL 3-D FLOW OF NONVISCOUS INCOMPRESSIBLE FLUID

Yu.A. Bondarenko
VANT. Ser.: Mat. Mod. Fiz. Proc 1994. Вып.3. С. 41-46.

      General form of 3-D flow of nonviscous incompressible fluid with constant pressure is found. The fact, that there are 3 types of such solutions, is proved. The first type - is the constant velocity. In the second type two velocity components are the functions of the third component (such solutions are already known). In the third type of solutions one velocity component is the function of two other components. General solution of the third type is implicitly defined from a system of 3 equations with 3 arbitrary functions, each of two arguments.

      The generation of multiparameter finite-difference CREST schemes using sequential variational method for isotropic elasticity at rectangular meshes is described. Stability and conservation of momentum and total energy are proved. Nonstability is discovered in linear analog of a well-known Wilkins scheme.