CONSERVATIVE DIFFERENCE KREST-TYPE SCHEMES WITH POSITIVELY DEFINED KINETIC ENERGY FOR LAGRANGIAN GAS DYNAMICS

Yu. A. Bondarenko
VANT. Ser.: Mat. Mod. Fiz. Proc. 1995. Вып.4. С. 19-23.

      A new approach is proposed to the approximation of internal energy equation in difference Krest-type schemes for 1-D and multidimensional gas dynamics so that the resulting difference scheme conserves the total energy with positively defined kinetic energy. In the new difference scheme the internal energy equation is split into two equations. The total energy is conserved even when iterations did not converge during the calculation of the difference equation for the internal energy. The total energy is also conserved when heat conduction and energy sources are separated from gas dynamics.