asymptlimit#
[EhatAsympt, fphatAsympt, hhat] = asymptlimit(windvel, hmean, CalcMethod)
Description#
Calculate dimensionless asymptotic limits of wind wave growth in shallow and intermediate water
Inputs#
- windvel
- Wind velocity in (m/s)Wind velocity should be measured (or represents velocity) at 10 m above surfaceWind velocity should be a 10 minutes averaged wind for all methods, except for for ‘spmshallow’ methodsFor ‘spmshallow’ methods, wind velocity should be converted to duration of sustained wind by using gust factor
- Fetch
Wind fetch in (m)
- hmean
Mean water depth along a wind fetch in (m)
- CalcMethod=’karimpour’;
- Parametric wave model to be used for calculation‘smb’: Use SMB method by Munk (1947), and Bretschneider (1952, 1958)‘young’: Use method by Young and Verhagen (1996) and Young and Babanin (2006)‘karimpour’: Use method by Karimpour et al. (2017)
Outputs#
- EhatAsympt
Dimensionless asymptotic limit values for wave energy, Ehat=g^2*m0/U10^4
- fphatAsympt
Dimensionless asymptotic limit values for peak wave frequency, fphat=fp*U10/9.81
- hhat
- Dimensionless water depth along a wind fetch: hhat=g*hmean/U10^2Note, g=9.81: gravitational accelerationU10: wind velocityfp: peak wave frequencyhmean: mean depth along a wind fetch
Examples#
windvel(:,1)=10.*rand(100,1);
hmean(:,1)=3.*rand(100,1);
[EhatAsympt,fphatAsympt,hhat]=asymptlimit(windvel,hmean,'karimpour');
References#
Bretschneider, C. L. (1952). Revised wave forecasting relationships. Coastal Engineering Proceedings, 1(2), 1.
Bretschneider, C. L. (1958). Revisions in wave forecasting: deep and shallow water. Coastal Engineering Proceedings, 1(6), 3.
Karimpour, A., Chen, Q., & Twilley, R. R. (2017). Wind Wave Behavior in Fetch and Depth Limited Estuaries. Scientific reports, 7, 40654.
Sverdrup, H. U., & Munk, W. H. (1947). Wind, sea, and swell: theory of relations for forecasting. U.S. Navy Department, Hydrographic Office, Publication No. 601, 44 pp.
Young, I. R., & Verhagen, L. A. (1996). The growth of fetch limited waves in water of finite depth. Part 1. Total energy and peak frequency. Coastal Engineering, 29(1-2), 47-78.
Young, I. R., & Babanin, A. V. (2006). The form of the asymptotic depth‐limited wind wave frequency spectrum. Journal of Geophysical Research: Oceans, 111(C6).