Abstract
In fluid dynamics, the classical Riemann problem (Riemann 1860) is an initial-value problem for a set of homogeneous PDEs in which the initial data consist of two constant states forming a discontinuity (Toro 1997, 2001; LeVeque 2002; Guinot 2003) (Fig. 8.1). It is a generalization of the dam break problem (Stoker 1957) described in Chap. 6.
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Notes
- 1.
We will analyze instantaneous (partial or full) sluice gate openings and closures for supercritical conditions downstream of the gate. Submerged flows are not considered; the gate acts thus as a control section in all cases.
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Castro-Orgaz, O., Hager, W.H. (2019). The Riemann Problem. In: Shallow Water Hydraulics. Springer, Cham. https://doi.org/10.1007/978-3-030-13073-2_8
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