Abstract
Initial, boundary and constraint conditions are thoroughly discussed for flow, mass and heat transport. Required special formulations of boundary conditions refer to free-surface, seepage-face, surface ponding, integral, gradient-type, multi-layer well and outflow conditions. It is shown that a Neumann-type boundary condition of the divergence form of a transport equation is equivalent to a Cauchy-type boundary condition of its convective form, which easily allows to impose load conditions for mass and heat.
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Notes
- 1.
Note that a freshwater condition identical to zero (C kD = 0) is inappropriate in the present balance-based computation to differ between inward and outward directed advective (convective) fluxes. It can fail because the directional magnitude of \(Q_{n_{\mathit{kC}}}\) according to (6.64) is no more identifiable since \(Q_{n_{\mathit{kC}}} = 0 \equiv Q_{n_{\mathit{kC}}}^{\mathrm{min}_{1}} = 0\)! Accordingly, instead of zero it is recommended to use a numerically very small value for C kD .
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Diersch, HJ.G. (2014). Initial, Boundary and Constraint Conditions. In: FEFLOW. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38739-5_6
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DOI: https://doi.org/10.1007/978-3-642-38739-5_6
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