Difference between revisions of "Wave run-up"
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{{Definition|title=Wave run-up | {{Definition|title=Wave run-up | ||
| − | |definition= | + | |definition= Wave run-up is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.}} |
| − | Wave run-up is an important parameter for assessing the safety of sea dikes or coastal settlements. Wave run-up is the sum of [[ | + | ==Notes== |
| + | Wave run-up is an important parameter for assessing the safety of sea dikes or coastal settlements. Wave run-up is the sum of [[wave set-up]] and swash uprush (see [[Swash zone dynamics]]) and must be added to the water level reached as a result of tides and wind set-up. | ||
By waves is meant: waves generated by wind (locally or on the ocean) or waves generated by incidental disturbances of the sea surface such as tsunamis, seiches or ship waves. Wave run-up is often indicated with the sympol <math> R </math>. | By waves is meant: waves generated by wind (locally or on the ocean) or waves generated by incidental disturbances of the sea surface such as tsunamis, seiches or ship waves. Wave run-up is often indicated with the sympol <math> R </math>. | ||
| − | For waves collapsing on the beach, the wave run-up can be estimated | + | For waves collapsing on the beach, the wave run-up can be estimated to first approximation with the formula of Hunt (1959) <ref>Hunt, I.A. 1959. Design of seawalls and breakwaters. J. Waterw. Harbors Division ASCE 85: 123–152</ref>, |
| − | <math>R = H \xi ,</math> | + | <math>R = \eta_u + H \xi ,</math> |
| − | where <math>H</math> is the offshore wave height and <math>\xi</math> is the wave similarity parameter, | + | where <math>\eta_u</math> is the [[wave set-up]], <math>H</math> is the offshore wave height and <math>\xi</math> is the wave similarity parameter, |
| − | <math>\xi = \Large\frac{ | + | <math>\xi = \Large\frac{\tan \beta}{\sqrt{H/L}}\normalsize = T \tan \beta \Large\sqrt{\frac{g}{4\pi H}}\normalsize , </math> |
| − | where <math>L = g T^2/(2 \pi)</math> is the offshore wave length, <math> | + | where <math>L = g T^2/(2 \pi)</math> is the offshore wave length, <math>\beta</math> is the beach slope and <math>T</math> is the wave period. |
| − | The horizontal wave incursion is approximately given by <math> R / | + | The horizontal wave incursion is approximately given by <math> R / \tan \beta</math>. |
| − | + | ==Related articles== | |
| + | : [[Swash zone dynamics]] | ||
| + | : [[Wave set-up]] | ||
: [[Swash]] | : [[Swash]] | ||
| − | |||
: [[Tsunami]] | : [[Tsunami]] | ||
Revision as of 20:53, 2 April 2021
Definition of Wave run-up:
Wave run-up is the maximum onshore elevation reached by waves, relative to the shoreline position in the absence of waves.
This is the common definition for Wave run-up, other definitions can be discussed in the article
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Notes
Wave run-up is an important parameter for assessing the safety of sea dikes or coastal settlements. Wave run-up is the sum of wave set-up and swash uprush (see Swash zone dynamics) and must be added to the water level reached as a result of tides and wind set-up.
By waves is meant: waves generated by wind (locally or on the ocean) or waves generated by incidental disturbances of the sea surface such as tsunamis, seiches or ship waves. Wave run-up is often indicated with the sympol [math] R [/math].
For waves collapsing on the beach, the wave run-up can be estimated to first approximation with the formula of Hunt (1959) [1],
[math]R = \eta_u + H \xi ,[/math]
where [math]\eta_u[/math] is the wave set-up, [math]H[/math] is the offshore wave height and [math]\xi[/math] is the wave similarity parameter,
[math]\xi = \Large\frac{\tan \beta}{\sqrt{H/L}}\normalsize = T \tan \beta \Large\sqrt{\frac{g}{4\pi H}}\normalsize , [/math]
where [math]L = g T^2/(2 \pi)[/math] is the offshore wave length, [math]\beta[/math] is the beach slope and [math]T[/math] is the wave period. The horizontal wave incursion is approximately given by [math] R / \tan \beta[/math].
Related articles
References
- ↑ Hunt, I.A. 1959. Design of seawalls and breakwaters. J. Waterw. Harbors Division ASCE 85: 123–152
