Merge branch 'main' of https://github.com/ShoreShop/ShoreModel_Benchmark

Author: yongjingmao

resubmissions/SLRM_LIM/README.md

@@ -1,19 +1,19 @@
 ## SLRM model
 ### Model description
-The SLRM is based on the horizontal behavior concept of suspended sediment from storms to derive an ordinary differential equation that describes temporal changes in shoreline position (Lim et al. [1]). The SLRM is also improved the model performance by considering the effect of the wave setup on shoreline changes. The model formulation is described as follows:
+The SLRM is based on the horizontal behavior concept of suspended sediment from storms to derive an ordinary differential equation that describes temporal changes in shoreline position (Lim et al. [1][2][3]). The SLRM is also improved the model performance by considering the effect of the wave setup on shoreline changes. The model formulation is described as follows:
 
 $$
-\frac{∂S(t)}{∂t}=k_r (\frac{E_b}{a_r} -S(t))
+\frac{∂y(t)}{∂t} = \frac{∂y_c(t)}{∂t} + \frac{∂y_l(t)}{∂t} = k_r (\frac{E_b}{a_r} -S(t)) + \frac{∂y_l(t)}{∂t}
 $$
 
-- $S(t)$ : the shoreline position at time $t$
+- $y(t)$ : the shoreline position at time $t$
 - $E_b$ : the incident wave energy
 - $k_r,a_r$ : the beach recovery and response factors
 
 In addition, the SLRM also takes into account the effect of wave setup, as follows:
 
 $$
-S_{total}=S+m_bμH_b
+y_{total}=y+m_bμH_b
 $$
 
 - $H_b$ : the breaking wave height
@@ -26,6 +26,8 @@ The SLRM model was applied to ***Task1.Short-term prediction***, and ***Task2.Me
 ### Model implementation (Post ShoreShop 2.0 WorkShop)
 The SLRM model was applied to ***Task1.Short-term prediction***, and ***Task2.Medium-term prediction***. The SLRM was implemented by calibrating free parameters ($μ$ and $k_r$) from the provided observation data. *After the workshop, the model implemented cross-shore evolution using optimal free parameters for each intersection. The model also implemented longshore sediment transport caused by the wave direction.*
 
+Here, shoreline change caused by longshore sediment transport was simulated using a simplified version of the numerical model proposed by Lim et al. [2][3].
+
 ### Model classification
 #### Model mechanics
 - [ ] Process-Based Models (PBM): couple hydrodynamics, waves, and morphodynamics through mass and momentum conservation laws.
@@ -40,5 +42,12 @@ The SLRM model was applied to ***Task1.Short-term prediction***, and ***Task2.Me
 - Changbin Lim, IHCantabria (art3440@naver.com; limc@unican.es)
 
 ### References
-[[1](https://doi.org/10.1016/j.coastaleng.2012.11.002)]
+[[1](https://doi.org/10.1016/j.geomorph.2022.108409)]
 Lim, C., Kim, T.K. and Lee, J.L. (2022). Evolution model of shoreline position on sandy, wave-dominated beaches. *Geomorphology*. 108409.
+
+[[2](https://doi.org/10.3389/fmars.2023.1179598)]
+Lim, C. and Lee, J.L. (2023). Derivation of governing equation for short-term shoreline response due to episodic storm
+wave incidence: comparative verification in terms of longshore sediment transport. *Front. Mar. Sci.* 10:1179598.
+
+[[3](https://doi.org/10.1016/j.apor.2024.104288)]
+Lim, C., González, M. and Lee, J.L. (2024). Estimating cross-shore and longshore sediment transport from shoreline observation data. *Applied Ocean Research*. 104288.