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SUMMARY:Wave Breaking in Undular Bores - Henrik Kalisch (Universitetet i B
 ergen)
DTSTART:20220714T130000Z
DTEND:20220714T133000Z
UID:TALK175883@talks.cam.ac.uk
DESCRIPTION:An undular bore is a laminar flow which transitions between tw
 o different flow depths. In rivers\, bores are generally due to tidal forc
 ing. Bores can also be studied in the laboratory\, and a number of studies
  have been aimed at understanding the main features of bores. In particula
 r\, Favre conducted a dedicated series of experiments with the aim of clas
 sifying different types of bores (Ondes de Translation\, Dunod\, Paris\, 1
 935). In the relatively simple situation of a wavetank\, one may without l
 oss of generality assume that the upstream flow depth is the undisturbed d
 epth\, and define the bore strength to be the incident wave amplitude divi
 ded by the undisturbed depth. It was found by Favre that there are three m
 ain bore types. If the bore strength is below 0.28\, the flow is laminar a
 nd oscillations of the free surface start to develop. Since in this case\,
  none of the waves are breaking\, this case is termed the purely undular b
 ore. If the bore strength exceeds 0.28\, then the leading wave behind the 
 transition front starts to break. If the bore strength exceeds 0.75\, a fu
 lly turbulent bore appears. The main purpose of this lecture is to explore
  whether the ratio 0.28 can be found using some fairly simple wave models 
 such as the KdV equation or Boussinesq-type systems.
LOCATION:Seminar Room 1\, Newton Institute
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