USING VARIATIONAL MECHANIC PRINCIPLES FOR CONSTRUCTION OF TIME- DISCRETE DIFFERENCE MODELS IN GAS DYNAMICS. PT.6. PULSE AND PULSE MOMENTUM CONSERVATION LAWS IN DIFFERENCE SCHEMES WITH A VARIABLE KINETIC ENERGY OPERATOR
Yu.A. Bondarenko VANT. Ser.: Mat. Mod. Fiz. Proc 1992. Вып.1. С. 28-33.
Differential/difference schemes and several finite-difference gas- dynamic scheme types with a kinetic energy operator depending on mesh node coordinates are examined. If cell values, holonomlc bounds and kinetic energy are invariant with respect to space translations and rotations then pulse or pulse momentum conservation laws are satisfied, respectively, for difference schemes developed with a sequential variational method based on time approximation of the Hamilton-Ostrogradsky action functional.
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