Abstract
| Language | English |
|---|---|
| Pages | 183-193 |
| Number of pages | 11 |
| Journal | Journal of Fluid Mechanics |
| Volume | 610 |
| Early online date | 8 Aug 2008 |
| DOIs | |
| Publication status | Published - Sep 2008 |
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Keywords
- analytical solution
- shallow water equations
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An analytical model for bore-driven run-up. / Pritchard, D.; Guard, Paul A.; Baldock, Tom E.
In: Journal of Fluid Mechanics, Vol. 610, 09.2008, p. 183-193.Research output: Contribution to journal › Article
TY - JOUR
T1 - An analytical model for bore-driven run-up
AU - Pritchard, D.
AU - Guard, Paul A.
AU - Baldock, Tom E.
PY - 2008/9
Y1 - 2008/9
N2 - We use a hodograph transformation and a boundary integral method to derive a new analytical solution to the shallow-water equations describing bore-generated run-up on a plane beach. This analytical solution differs from the classical Shen-Meyer runup solution in giving significantly deeper and less asymmetric swash flows, and also by predicting the inception of a secondary bore in both the backwash and the uprush in long surf. We suggest that this solution provides a significantly improved model for flows including swash events and the run-up following breaking tsunamis.
AB - We use a hodograph transformation and a boundary integral method to derive a new analytical solution to the shallow-water equations describing bore-generated run-up on a plane beach. This analytical solution differs from the classical Shen-Meyer runup solution in giving significantly deeper and less asymmetric swash flows, and also by predicting the inception of a secondary bore in both the backwash and the uprush in long surf. We suggest that this solution provides a significantly improved model for flows including swash events and the run-up following breaking tsunamis.
KW - analytical solution
KW - shallow water equations
U2 - 10.1017/S0022112008002644
DO - 10.1017/S0022112008002644
M3 - Article
VL - 610
SP - 183
EP - 193
JO - Journal of Fluid Mechanics
T2 - Journal of Fluid Mechanics
JF - Journal of Fluid Mechanics
SN - 0022-1120
ER -