A POD-based reduced-order model for free surface shallow water flows over real bathymetries for Monte-Carlo-type applications

2012 ◽  
Vol 221-222 ◽  
pp. 1-23 ◽  
Author(s):  
Jean-Marie Zokagoa ◽  
Azzeddine Soulaïmani
Keyword(s):  
Monte Carlo ◽  
Free Surface ◽  
Shallow Water ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order ◽  
Water Flows ◽  
Shallow Water Flows

scholarly journals POD-DEIM Based Model Order Reduction for the Spherical Shallow Water Equations with Turkel-Zwas Finite Difference Discretization

2014 ◽  
Vol 2014 ◽  
pp. 1-10
Author(s):  
Pengfei Zhao ◽  
Cai Liu ◽  
Xuan Feng
Keyword(s):  
Computational Complexity ◽  
Shallow Water ◽  
Shallow Water Equations ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Reduced Order Model ◽  
Order Model ◽  
Time Step ◽  
Model Order ◽  
Reduced Order

We consider the shallow water equations (SWE) in spherical coordinates solved by Turkel-Zwas (T-Z) explicit large time-step scheme. To reduce the dimension of the SWE model, we use a well-known model order reduction method, a proper orthogonal decomposition (POD). As the computational complexity still depends on the number of variables of the full spherical SWE model, we use discrete empirical interpolation method (DEIM) proposed by Sorensen to reduce the computational complexity of the reduced-order model. DEIM is very helpful in evaluating quadratically nonlinear terms in the reduced-order model. The numerical results show that POD-DEIM is computationally very efficient for implementing model order reduction for spherical SWE.

scholarly journals A reduced-order model for Monte Carlo simulations of stochastic groundwater flow

2013 ◽  
Vol 18 (2) ◽  
pp. 157-169 ◽  
Author(s):  
Damiano Pasetto ◽  
Alberto Guadagnini ◽  
Mario Putti
Keyword(s):  
Monte Carlo ◽  
Monte Carlo Simulations ◽  
Groundwater Flow ◽  
Reduced Order Model ◽  
Order Model ◽  
Reduced Order

scholarly journals Iber applications basic guide. Two-dimensional modelling of free surface shallow water flows

2019 ◽  
Author(s):  
Luis Cea Gómez ◽  
Ernest Bladé i Castellet ◽  
Marcos Sanz Ramos ◽  
María Bermúdez Pita ◽  
Ángel Mateos Alonso
Keyword(s):  
Free Surface ◽  
Shallow Water ◽  
Two Dimensional ◽  
Water Flows ◽  
Shallow Water Flows
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