Ddl. Zanre et Dj. Needham, ON SIMPLE WAVES AND WEAK SHOCK THEORY FOR THE EQUATIONS OF ALLUVIAL RIVER HYDRAULICS, Philosophical transactions-Royal Society of London. Physical sciences and engineering, 354(1721), 1996, pp. 2993-3054
This paper considers the hydraulic equations governing alluvial river
dynamics. The shock-wave classes for this system were described and fu
lly analysed by Needham & Hey (1991). The complementary expansion wave
classes are determined in this paper. In addition, more general simpl
e waves are considered and a weak-shock theory is established. This is
used to consider several practical examples, including the dynamics o
f dredged river sections, the propagation of sediment slugs and the ef
fects of sediment blocking and extraction.