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...</sub> defined as 4 times the total energy density, spectral peak period ''T''_''p'', and spectral peak frequency ''f''_''p''), and |'''''T'''''_'''''p'' ''''''(sec)'''^'''a'''

== ''Case 1'' (<math>H</math>=1.65 m, <math>T</math>=11 s) == heights for Case 1 (<math>H</math> = 1.65 m, <math>T</math>= 11 s). For display purposes, wave

* Mase, H., K. Oki, T. S. Hedges, and H. J. Li. 2005. Extended energy-balance-equation wave model

...dled by modifying the equilibrium concentration as <math>C_{t*}^' = min(C_{t*}, C_t)</math> in both the sedment transport and bed change equations. The ...is implemented in CMS. The equations are obtained by substituting <math>C_{t*k}^{n+1} = p_{1k}^{n+1}C_{tk}^{*n+1}</math> into the bed change and sortin

...x'' is zero at the boundary, then the ''y'' differential with respect to ''t'' is also zero, meaning ''y'' does not change over time. <math> y^{t+1}_n = y^t_N + y_{RC} </math>

Table 4. Offshore significant wave height H_mo, peak wave period T_p,, incident wave period Θ_o, water level η<sub>0</su |align = "center"|T_p, s

|| PRTOUT || Output to PRFILE || yes (t), no (f) || || PRWARN || Print warnings || yes (t), no (f) ||

...ange (<math>\Delta z</math>) at each time step of simulation (<math>\Delta t</math>) is calculated as follows: <center><math>\Delta z = \frac{f_{morph} \Delta t}{\rho_s (1-\rho)} (\alpha_t \omega_s (C_t-C_t^* )+S_b)</math></center>

...b|right|600px| Figure 3. Computed bed elevations and current velocities at t=10 hrs.]]

...nts include a single groin (Figure 2), a detached breakwater (Figure 3), a T-head groin (Figure 4), a seawall with a groin to force shoreline erosion to Image:Figure32.jpg|Figure 4. GenCade straight shoreline with T-head groin domain.

...artial (r_{sk} C_{tk})}{\partial x_j} \biggr] + \alpha _t \omega _{sk} (C_{t*k} - C_{tk}) ...lated to the total-load adaptation length (L_t ) and time (T_t) by

\frac{\partial (h C)}{\partial t} + \frac{\partial (u_j h C)}{\partial x_j} = \frac{\partial }{\partial x_j} ...al q_{b*j}}{\partial x_j} + \frac{\partial }{\partial x_j} \biggl[ D_s |q_{t*}| \frac{\partial \zeta}{\partial x_j} \biggr] + E_b - D_b

Mase, H., K. Oki, T. S. Hedges, and H. J. Li. 2005. Extended energy-balance-equation wave model

...>''w''</sub> = ''T''_''wc'' + ''T''_''wt'', in which ''T''_''w'' is the wave period), and _''pl'',''b'' a coe ...T}_{wc}}}\int_{0}^{{{T}_{wc}}}{\frac{1/2{{f}_{cw}}{{\left[ {{u}_{w}}\left( t \right)+{{U}_{c}}\text{cos}\varphi \right]}^{2}}}{\left( s-1 \right)g{{d}_

| <math>q_{t*}</math>

q_{t} = A_w \biggl[ \frac{(\tau_{b,max} - \tau_{cr}) U }{\rho g } \biggr] ...</math> and <math> A_w </math> is semi-orbital excursion <math> A_w = U_w T / (2 \pi) </math>.

...mb|left|600px| Figure 2. Computed bed elevations and current velocities at t=10 hrs.]]

|align = "center"|'''L/T* Ratio''' <nowiki>*</nowiki>L/T Ratio is the ratio between the laminar and turbulent resistance terms

\bar{\eta}_E (t) = \sum f_i A_i \cos (\omega_i t + V_{i}^0 + \hat{u}_i - \kappa_i) :''t'' = elapsed time from midnight of the starting year [hrs]

{{Equation|<math>\bar{\eta}_E (t) = \Sigma f_i A_i cos (\omega_i t + V_i ^0 + \hat{u}_i - \kappa_i)</math>|2-18}} :t = elapsed time from midnight of the starting year [hrs]

n \frac{\partial h}{ \partial t } + \frac{\partial q_x}{ \partial x } +\frac{\partial q_y}{ \partial y } = n (1-p'_m) \frac{\partial z_{bk}}{\partial t} = \alpha\omega_{fk}(C_k - V_{*k})

::<math>\bar{n}_E (t) = \sum f_i A_i cos(\omega t + V_i^0 + \hat{u}_i - \kappa_i) </math> (2-39) :: t = elapsed time from midnight of the starting year [hrs]

...s02.html T-Head Groin Advancements in One-Line Modeling: (Genesis-T)]

\frac{\partial(hC_{sal})}{\partial t} + \frac{\partial(hV_j C_{sal})}{\partial x_j} = \frac{\partial}{\partial x

\frac{\partial(h C_{sal})} {\partial t} +

*Antsyferov, S. M., T. Basinski, and N. V. Pykhov. 1983. Measurements of coastal suspended sedime *Asano, T. 1992. Observations of granular-fluid mixture under an oscillatory sheet fl

where T_p is the peak wave period.

: <math>A_w =</math> semi-orbital excursion = <math>u_w T /(2\pi)\ </math> [m] :T = wave period[s]

...ed by integrating the instantaneous bed-load rate ''q''_''sb''(''t'') over a wave period. \Omega =\frac{1}{2}\,\rho \,{{f}_{cw}}\ \left| \overrightarrow{u(t)}\left| ^{3} \right. \right.

...ariables such as ''x'' = 1.3*''x''-0.01, ''t''=60*''t'', or ''x''=''x''(''t''>=100).

...., Zundel, A. K., Howlett, J. D., Demirbilek, Z., Gailani, J. Z., Lackey, T. C., and Smith, J. (2006). PTM: Particle Tracking Model; Report 1: Model T .... W., Kraus, N. C., Ono, N., Larson, M., Camenen, B., Hanson, H., Wamsley, T., and Zundel, A. K. (2006). "Two-Dimensional Depth-Averaged Circulation Mod

...A. M., C. W. Reed, N. C. Kraus, N. Ono, M. Larson, B. Camenen, H. Hanson, T.&nbsp;Wamsley, and A. Zundel. 2006. ''Two-dimensional depth-averaged circul Chawla A., and J. T. Kirby. 2002. Monochromatic and random wave breaking at blocking points. ''

{{Equation|<math> \delta \approx \sqrt{{{\nu }_{t}}T} </math>|13}} where <math>{{\nu }_{t}}</math> is the eddy viscosity, and ''T'' the flow period. For a steady current (e.g., tidal flow), δ = ''h'', whe

...breakwater at the center of the grid. The waves are idealized (H = 0.5 m, T = 6 s, wave direction = 30 degrees), and the simulation is run for two year

\underbrace { \frac {\partial(h\phi)} {\partial t} where <math>\phi</math> is a general scalar, ''t'' is time, ''h'' is the total water depth, <math>V_j</math> is the tran

...resulting sediment transport. In CMS-Flow, the total eddy viscosity, ν_t , is equal to the sum of three parts: 1) a base value ν₀, ...sed on the significant wave height H_i [m] and peak wave period T_p [s]

...ter display). The system was exposed to constant waves with ''H'' = 1 m, ''T'' = 5 sec, and <math>\theta</math> = -5 deg for three months. The grid spac

{{Equation|<math>\bar{\eta}_E (t) = \Sigma f_i A_i cos(\omega_i t + V_{i}^0 + \hat{u}_i - \kappa_i)</math>|2-14}} : t = elapsed time from midnight of the starting year [hrs]

...q_{t*j}}{\partial x_j} + \frac {\partial}{\partial x_j} \left(D_s \mid q_{t*}\mid\frac{\partial z_b}{\partial x_j} \right) </math> (2-42) ::t = time [s]

<!--'''<big>δy/δt + (1/(DB+DC)) * (δQ/δx - q) = 0</big>'''--> <math> \frac{\partial y}{\partial t} + \frac{1}{(D_B+D_C)}(\frac{\partial Q}{\partial x}-q)=0 </math>

...A. M., C. W. Reed, N. C. Kraus, N. Ono, M. Larson, B. Camenen, H. Hanson, T. Wamsley, and A. K. Zundel, A. K. 2006. Two-dimensional depth-averaged circ

...A. M., C. W. Reed, N. C. Kraus, N. Ono, M. Larson, B. Camenen, H. Hanson, T. Wamsley, and A. K. Zundel. 2006. Two-dimensional depth-averaged circulatio *MacDonald, N. J., M. H. Davies, A. K. Zundel, J. D. Howlett, T. C. Lackey, Z. Demirbilek, and J. Z. Gailani. 2006. PTM: Particle Tracking

...that Mobile District presented using ERDC products from the Navigation RD&T portfolio. At the end of the two-day meeting, the RARG ranked the cumulativ

76{{t}}110{{t}}7{{t}}1.5<br> 77{{t}}110{{t}}7{{t}}1.5<br>

|Significant Wave Height (''H''_''s'')<br>Peak Wave Period (''T''_''p'')<br>Gamma<br>Wave Mean Direction<br>Directional Spreading |''H''_''s'' and ''T''_''p'' or Wind Speed and Fetch Distance<br>Gamma<br>Wave Mean Di

...ining these basic structures to produce more complex configurations, e.g., T-shaped groins, Y-shaped and half-Y groins, and jetties with spurs. Combinat Complex groin or jetty configurations, such as Y-groins, T-groins, and spur jetties, can be represented by placing tips of diffracting

{{Equation|<math>q_{t*} = \left[f_s r_s + f_b(1-r_s )\right]\rho_s A_{Wat}U \left(\frac{\tau_{bma :q_t* = potential total-load transport rate [kg/m/s]

'''Dean, R.G., and Walton, T.L., 1973. Sediment Transport Processes in the Vicinity of Inlets with Speci '''Walton, T. L. Jr. (2002). Tidal Velocity Asymmetry at Inlets, ERDC/CHL CHETN IV-47. U

{{Equation|1=<math>f_R = 0.5 - 0.5\cos\left[\pi \min\left(t,T_R\right) / T_R \right]</math>|2=3}}

\underbrace { \frac {\partial}{\partial t}\left(\frac{h\phi}{\beta}\right) \int_A \frac {\partial}{\partial t}\left(\frac{h_\phi}{\beta} \right) dA + \int_A \frac {\partial}{\partial x