Sentence examples for both density and internal from inspiring English sources

It was found that a delta shock wave with Dirac delta function in both density and internal energy appeared in the solutions.

In this case, we justify rigorously the phenomenon of the delta shock wave with a Dirac delta function in both density and internal energy.

Using these relations, the delta shock wave solution is obtained in this case, in which both density and internal energy contain the Dirac delta function simultaneously.

It is shown that a delta shock wave with Dirac delta function in both density and internal energy develops in the exact solutions.

It is shown that the delta shock wave with Dirac delta function in both density and internal energy develops in the solutions.

In our study, it is shown that the delta shock wave with Dirac delta function in both density and internal energy develops in the compressible Euler equations with the generalized Chaplygin gas.

From Figures 8 and 10 or Figures 11 and 13, it is clearly observed that both density ρ and internal energy H develop extreme concentrations, containing a Dirac delta function.

(The tiny density and internal energy problem).

It is conservative for remapping cell-centered variables such as density and internal energy.

In this way, positive density and internal energy are achieved as a side effect.

The equations of state for the density and internal energy are more complicated than the ideal gas.