Steady State Matrix Coefficients
The purpose of this appendix is to develop the matrix coefficients
(E, F, G) and the forcing function
(R) from Equation (26). In the text that follows, the
contributions to E, F, G and
R are given on a term-by-term basis. The final values are
determined by summing the individual contributions.
Equations (B7), (B11), and (B17) are used to approximate the spatial
derivative describing advective transport. These equations
contribute to the matrix coefficients as detailed below. Due to
boundary conditions, the contributions depend on the type of segment
for which Equation (26) is developed.
As with the advection term, the finite difference equations given
in Appendix B (Equations (B9), (B14) and (B18)) are used to
determine the contributions to the matrix coefficients.
D3.0 Lateral Inflow
D4.0 Transient Storage
D6.0 Matrix Coefficients
The matrix coefficients (E, F, G) and
the forcing function (R) from Equation (26) may
now be developed by summing the contributions given in Sections D1.0