Numerical Solution of Three-Dimensional Eulerian Reactive Flow

Numerical Solution of Three-Dimensional Eulerian Reactive Flow 

The three-dimensional Eulerian code is called 3DE and is a three-dimensional version of the 2DE code described in Appendix C. 

Mass Fraction of Undecomposed Explosive Momentum in x-direction Momentum in y-direction Momentum in z-direction Viscosity Coefficient Cell Volume = AxAyAz Time Increment in Microseconds Density (g/cc) 

Maximum Number of Cells in i,j, k directions Piston Values of Pressure, Velocity, Mass Piston Values of Energy, and Mass Fraction 

The three-dimensional partial differential equations for nonviscous, nonconducting, compressible fluid flow are 

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The Eulerian (bottom-up) approach is to start with the convective-diffusion equation and through Reynolds averaging, obtain time-smoothed transport equations that describe micromixing effectively. Several schemes have been proposed to close the two terms in the time-smoothed equations, namely, scalar turbulent flux in reactive mixing, and the mean reaction rate (Bourne and Toor, 1977 Brodkey and Lewalle, 1985 Dutta and Tarbell, 1989 Fox, 1992 Li and Toor, 1986). However, numerical solution of the three-dimensional transport equations for reacting flows using CFD codes are prohibitive in terms of the numerical effort required, especially for the case of multiple reactions with... 

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