Variational Data Assimilation with a Semi-Lagrangian Semi-implicit Global Shallow-Water Equation Model and Its Adjoint

1993 ◽  
Vol 121 (6) ◽  
pp. 1759-1769 ◽  
Author(s):  
Y. Li ◽  
I. M. Navon ◽  
P. Courtier ◽  
P. Gauthier
Keyword(s):  
Data Assimilation ◽  
Shallow Water ◽  
Shallow Water Equation ◽  
Equation Model ◽  
Variational Data Assimilation

scholarly journals An improved shallow water equation model for water animation

2017 ◽  
Author(s):  
Mingjing Ai ◽  
Anding Du ◽  
Han Xu ◽  
Jianwei Niu
Keyword(s):  
Shallow Water ◽  
Shallow Water Equation ◽  
Equation Model

A NUMERICAL STUDY OF DAM-BREAK FLOW AND SEDIMENT TRANSPORT FROM A QUAKE LAKE

2011 ◽  
Vol 05 (05) ◽  
pp. 401-428 ◽  
Author(s):  
PENGZHI LIN ◽  
YINNA WU ◽  
JUNLI BAI ◽  
QUANHONG LIN
Keyword(s):  
Sediment Transport ◽  
Shallow Water ◽  
High Speed ◽  
Numerical Study ◽  
Shallow Water Equation ◽  
Equation Model ◽  
Dam Break ◽  
Bed Morphology ◽  
Dam Break Flow ◽  
Quake Lake

Dam-break flows are simulated numerically by a two-dimensional shallow-water-equation model that combines a hydrodynamic module and a sediment transport module. The model is verified by available analytical solutions and experimental data. It is demonstrated that the model is a reliable tool for the simulation of various transient shallow water flows and the associated sediment transport and bed morphology on complex topography. The validated model is then applied to investigate the potential dam-break flows from Tangjiashan Quake Lake resulting from Wenchuan Earthquake in 2008. The dam-break flow evolution is simulated by using the model in order to provide the flooding patterns (e.g., arrival time and flood height) downstream. Furthermore, the sediment transport and bed morphology simulation is performed locally to study the bed variation under the high-speed dam-break flow.

scholarly journals STUDY COMPONENTS OF SHALLOW WATER TIDE (OVER AND COMPOUND TIDES) 1 DIMENSIONAL CHANNEL MODEL BY USING VARIATIONAL DATA ASSIMILATION METHOD

2011 ◽  
Vol 3 (1) ◽  
Author(s):  
Evie H. Sudjono ◽  
A. Setiawan ◽  
S. Hadi ◽  
N. S. Ningsih
Keyword(s):  
Data Assimilation ◽  
Harmonic Analysis ◽  
Shallow Water ◽  
Root Mean Square ◽  
Channel Model ◽  
Variational Data Assimilation ◽  
Mean Square ◽  
Tidal Constituent ◽  
Sea Transportation ◽  
Improve Accuracy

<p>Shallow water tides are very important to improve accuracy of tidal predictions. It is used by port interest, sea transportation, fishing industry, coastal engineering, etc. Simulation of shallow water tides was obtained from harmonic analysis of 1 dimensional channel model (12 grid) by using variational data assimilation (grid 3 and 8). Two partial tides with angular frequencies σ1 = 1,4x10-4 and σ2 = 1,6x10-4 rad/sec and amplitude A1 = 1x10-8 and A2 = 0,5x10-8 meters are used for defining external forcing in the model domain. When inspecting the amplitudes of both partial tides σ1 and σ2 and some of their dominant over- and compound tides (σ3 = 2σ1-σ2 and σ4 = 3σ1), in general the “to be corrected” solution can be improved significantly. Root mean square (rms) error of tidal constituent σ1 between the “reference” and the “to be corrected” without data assimilation is 0,1075 m/sec, and for σ2 is 0,0440 m/sec, respectively. On the other hand, the harmonic analysis of the phase of tidal constituent σ1 showed a good result (root mean square = 0.0000 m/s) and for σ2 (root mean square = 0.0002 m/s).</p><p>Keywords: shallow water tides, data assimilation, harmonic analysis.</p>

scholarly journals INTER-COUPLED TSUNAMI MODELLING THROUGH AN ABSORBING-GENERATING BOUNDARY

2020 ◽  
pp. 38
Author(s):  
Sangyoung Son ◽  
Patrick Lynett
Keyword(s):  
Shallow Water ◽  
Shallow Water Equation ◽  
Boussinesq Equations ◽  
Equation Model ◽  
Water Model ◽  
Navier Stokes ◽  
Characteristic Form ◽  
Computationally Efficient ◽  
Boussinesq Model ◽  
Tsunami Modelling

For many practical and theoretical purposes, various types of tsunami wave models have been developed and utilized so far. Some distinction among them can be drawn based on governing equations used by the model. Shallow water equations and Boussinesq equations are probably most typical ones among others since those are computationally efficient and relatively accurate compared to 3D Navier-Stokes models. From this idea, some coupling effort between Boussinesq model and shallow water equation model have been made (e.g., Son et al. (2011)). In the present study, we couple two different types of tsunami models, i.e., nondispersive shallow water model of characteristic form(MOST ver.4) and dispersive Boussinesq model of non-characteristic form(Son and Lynett (2014)) in an attempt to improve modelling accuracy and efficiency.Recorded Presentation from the vICCE (YouTube Link): https://youtu.be/cTXybDEnfsQ

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