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Numerical Scheme 4.3.1 Continuity Equation In the continuity equation the storage width, bs, is introduced as: ∂A ∂h ------ = b s -----∂t ∂t (4.2) giving ∂Q ∂h ------- + b s ------ = 0 ∂x ∂t (4.3) As only Q has a derivative with respect to x, the equation can be centred at an h-point (see Figure 4.3). Figure 4.3 Centring of the continuity equation in the Abbott scheme (a generalised scheme). Note that in MOUSE ∆xj and ∆xj+1 are always equal MOUSE PIPE FLOW Reference Manual 69
