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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

{{K}_{t}}={{0.3}_{{}}}(1.5-\frac{{{h}_{c}}}{{{H}_{i}}}),\text{ for }0\le \frac{ {{K}_{t}}={{0.3}_{{}}}(1.1-\frac{{{h}_{c}}}{{{H}_{i}}}),\text{ for }0\le \frac

...n|<math>\bar{\eta}_E (\overrightarrow{x},t) = \Sigma f_i A_i cos (\omega_i t + V_i ^0 + \hat{u}_i - \kappa_i)</math>|2-20}} : <math>\bar{\eta}_E (\overrightarrow{x},t)</math> = external boundary water surface elevation

: 'points',pts,'cells',ids,'polygon',poly,'steps',nstep,'times',t) :[t,dat,name,units] = sms_read_tsd(<font color=magenta>'data.tsd'</font>);

...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

...planned for February 11-13 2013 at SAJ has been canceled because we haven't received approval. Stay tuned; we'll try to have a workshop in FY13 or seve

*Beck, T. M., and K. Legault. 2012. St. Augustine Inlet, Florida: Application of the ...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

{{\varepsilon }_{d}}=\frac{|\vec{U}|{{L}_{0}}}{{{g}^{2}}{{T}_{p}}^{3}}({{\tan }^{1/4}}\beta ) ...h>=</math>''g''<math>T_{p}^{2}\text{ /2 }\!\!\pi\!\!\text{ }</math>, and ''T''_''p'' is the spectral peak period. The change in breaker height

...use in other software right-click on the graph window and select ''Expor''t. In the ''Exporting Time Series'' window, select ''Export|Text/Data, Export {{Equation|<math>\bar{Q}_t = \oint_L \frac{1}{T} \int_t (\overrightarrow{q}_t \cdot

Beck, T.B., and N.C. Kraus. 2010. Shark River Inlet, New Jersey, Entrance Shoaling: Benson, M.A., and Dalrymple, T. 1967. General field and office procedures for indirect discharge measureme

\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

==T-Groins == ...for the entire grid or utilizing variable grid resolution. An example of a T-groin is shown in Figure 26.

==T-Groins == ...for the entire grid or utilizing variable grid resolution. An example of a T-groin is shown in Figure 26.

...n.php Comparison of a Physical and Numerical Mobile-Bed Model of Beach and T-Head Groin]

...the astronomical prediction formula when predictions don<nowiki>’</nowiki>t agree with observations but, depending on the region, the astronomical curr ...wo tidal frequencies ''f''₁ and ''f''₂ is given by ''T'' =1/<nowiki>|</nowiki>''f''₁''-f''₂<nowiki>|</nowiki

\frac{\partial (Sd)}{\partial t}+\frac{\partial (S{{q}_{x}})}{\partial x}+\frac{\partial (S{{q}_{y}})}{\par

...q}_{ss}}\left( t \right)=\int_{{{z}_{a}}}^{h}{u\left( z,t \right)c\left( z,t \right)dz} ...\left( z,t \right)}</math> and <math>c\left( z \right)=\overline{c\left( z,t \right)}</math>

...wo tidal frequencies ''f''₁ and ''f''₂ is given by ''T'' =1/<nowiki>|</nowiki>''f''₁''-f''₂<nowiki>|</nowiki ...quencies. Fourier frequencies are multiples of the fundamental frequency 1/T and thus may not coincide with the tidal frequencies which, with the except

...</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'''

''t''<nowiki>=</nowiki>time where ''T'' = wave period.

...n Gateway (http://operations.usace.army.mil/navigation.cfm). Navigation RD&T program managers presented their work to date in an overview of the past ye

...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

...l Groins[[Image:GenCade6.png|thumb|300px|Fig. 6. Alternative grids for the T-groin alternatives C3, C4, C5 & C6.]] ...1. Chronic beach erosion adjacent to inlets and remediation by composite (T

...ix - Path was not being prepended to the wave file names, so if they weren't in the same directory, it failed. * Bug fix: Using ASCII input files wasn't working for salinity.

...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

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

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

...looking at the CIRP wiki page to find the information you need; if you can't locate it, let us know, and we will update the site!

...overage'' check one arc (though multiple can be plotted), under ''Data se''t select ''Specified data set(s)'' and select the generated ''Morphology'' (E

<math>{\partial (Sd)}{\partial t}+\frac{\partial (S{{q}_{x}})}{\partial x}+\frac{\partial (S{{q}_{y}})}{\par ...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

*Beck, T.M., and Kraus, N.C. 2010. Shark River Inlet, New Jersey, Entrance Shoaling ...C.W., Kraus, N.C., Ono, N., Larson, M., Carmenen, B., Hanson, H., Wamsley, T., and Zundel, A.K. 2006. Two-dimensional depth-averaged circulation model C

''Rosati, J.D., Beck, T.M., and Sanchez, A., 2010, Post-Processing Coastal Modeling System <br> Sim Rosati, J.D., Beck, T.M., and Sanchez, A., 2010. Post-Processing Coastal Modeling System Simulati

'''Chronic Beach Erosion Adjacent to Inlets and Remediation by Composite (T-Head) Groins''' ...gives an overview of the performance and functional design procedures for T-head and similar composite groins.

* Gaudiano, D.J., and Kana, T.W., 2000. Shoal bypassing in South Carolina tidal inlets: Geomorphic variab ...1. Chronic beach erosion adjacent to inlets and remediation by composite (T-head) groins. Coastal Engineering Technical Note CHETN-IV-36, U.S. Army En

'''T'''

...C.W., Kraus, N.C., Ono, N., Larson, M., Camenen, B., Hanson, H., Wamsley, T., and Zundel, A.K.. 2006. Two-dimensional depth-averaged circulation model Walton, T.L., 1976. Littoral drift estimates along the coastline of Florida. Florida

''Rosati, J.D., Beck, T.M., and Sanchez, A., 2011, Post-Processing Coastal Modeling System <br> Sim Rosati, J.D., Beck, T.M., and Sanchez, A., 2011. Post-Processing Coastal Modeling System Simulati

...n be selected with within the ''Size Class'' section within the ''Sedimen''t tab of the ''CMS-Flow Model Control'' window (see figure below).

::a. While the cellstring is selected right-click anywhere on the t the cellstring and select Delete from the list of items in the pop-up menu

Paper: Styles, R., M. Brown, K. Brutsché, H. Li, T. Beck, and A. Sanchez, 2016: Long-term modeling of barrier island tidal inl

where $t$ is time. Substituting Eqn. (1) into Eqn. (2),

'''Jarrett, J.T., 1976. Tidal Prism – Inlet Area Relationships. GITI Report 3, U.S. Army '''Shigemura, T., 1981. Tidal Prism – Throat Width Relationships of the Bays of Japan.

{{Equation|<math>\frac{\partial (h+ \eta)}{\partial t}+\frac{\partial q_x}{\partial x} + \frac{\partial q_y}{\partial y} = 0</mat {{Equation|<math>\frac{\partial q_x}{\partial t} + \frac{\partial uq_x}{\partial x} + \frac{\partial vq_x}{\partial y} + \f

...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 circulat

...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 circul

{{Equation|<math>C = \frac{\Delta t(|U| + \sqrt{gh})} {min(\Delta x,\Delta y)} \leq C_{max}</math>|2-1}}