Article
Engineering, Civil
Yu Liu, Zhenhua Chai, Xiuya Guo, Baochang Shi
Summary: The LB model proposed in this paper effectively recovers viscosity and eliminates additional errors, improving accuracy and ensuring system conservation. Additionally, the model considers the influence of rainfall intensity on shallow water flow, accurately studying problems such as overland flows.
JOURNAL OF HYDROLOGY
(2021)
Article
Engineering, Multidisciplinary
Juan Mairal, Javier Murillo, Pilar Garcia-Navarro
Summary: This paper extends the ARoe and HLLS methods for solving the Shallow Water equations with source terms. It proposes more complete entropy correction formulas and a more general formulation of the HLLS method. Experimental results show that these methods are more effective in solving specific problems.
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
(2023)
Article
Mathematics, Applied
Julian Koellermeier, Ernesto Pimentel-Garcia
Summary: This paper investigates the steady states of shallow water moment equations with bottom topographies. A new hyperbolic shallow water moment model is derived based on linearized moment equations, allowing for a simple assessment of the steady states. The well-balanced scheme is utilized to preserve the steady states in numerical simulations.
APPLIED MATHEMATICS AND COMPUTATION
(2022)
Article
Astronomy & Astrophysics
Carlos A. R. Herdeiro, Joao M. S. Oliveira, Alexandre M. Pombo, Eugen Radu
Summary: Virial identities, also known as scaling identities, are important integral identities in nonlinear field theories. This paper provides a pedagogical rationale for deriving such integral identities from a standard variational treatment. The authors emphasize the importance of including appropriate boundary terms in relativistic gravity, and show that specific gauge choices can simplify the computation of virial identities in General Relativity.
Article
Mathematics, Applied
Rubayyi T. Alqahtani, Jean C. Ntonga, Eric Ngondiep
Summary: This paper presents a two-step explicit predictor-corrector approach, known as the two-step MacCormack formulation, for solving the one-dimensional nonlinear shallow water equations with source terms. The proposed numerical scheme uses the fractional steps procedure to handle the friction slope and upwind the convection term for controlling numerical oscillations and stability. The scheme incorporates forward and backward difference formulations in the predictor and corrector steps, respectively. The linear stability and convergence rate of the proposed method are analyzed and validated through numerical examples.
Article
Mechanics
D. Yu. Khanukaeva, A. R. Troshkin
Summary: The peculiarities of nanocapillary flows are studied in the framework of Newtonian and micropolar fluid models. Various boundary conditions are used for the Newtonian fluid model, while two alternative boundary value problems are considered for the micropolar fluid model. Parametric studies and comparison with experimental data are conducted. It is shown that the classical approach fails to explain two experimental effects, which are explained using the micropolar fluid model.
Article
Mechanics
Giada Varra, Renata Della Morte, Luigi Cimorelli, Luca Cozzolino
Summary: The use of classic 2D shallow water equations for flooding simulation in urban areas is computationally expensive. To reduce the computational burden, a sub-grid shallow water equation model has been introduced. The single porosity model is relevant because it is used as the building block for many numerical schemes. However, the single porosity model may have multiple solutions for certain initial conditions. In this paper, the authors compare the single porosity model with the 2D shallow water equation model and disambiguate the solutions' multiplicity and find that an adequate amount of head loss should be incorporated in the single porosity model.
Article
Engineering, Multidisciplinary
Elisa Biagioli, Mattia de' Michieli Vitturi, Fabio Di Benedetto
Summary: Shallow water equations are widely used in simulating geophysical flows with much greater horizontal length scale than vertical scale. A modified model with an additional transport equation and shape coefficients is presented, discretized with a modified finite volume central-upwind scheme. Numerical experiments validate the proposed method's effectiveness.
APPLIED MATHEMATICAL MODELLING
(2021)
Article
Environmental Sciences
Oscar E. Coronado-Hernandez, Ivan Derpich, Vicente S. Fuertes-Miquel, Jairo R. Coronado-Hernandez, Gustavo Gatica
Summary: This research improves the mathematical model of hydraulic events by considering unsteady friction models. Experimental validation shows that unsteady friction models slightly improve results compared to steady friction models.
Article
Agronomy
Junjie Jia, Yang Gao, Kun Sun, Shuoyue Wang, Jing Wang, Zhaoxi Li, Yao Lu, Wanqian Deng, Xianrui Ha
Summary: Studies have shown that lake and reservoir systems globally are significant carbon sources. This study emphasizes the importance of considering the drawdown zone in lake-based carbon sink/source assessments. By incorporating the drawdown zone, the study found that the entire floodplain-lake system can shift from being a carbon source to a carbon sink based on water level fluctuations and area changes.
AGRICULTURAL AND FOREST METEOROLOGY
(2022)
Article
Mathematics, Applied
V. Vasan, Manisha, D. Auroux
Summary: This paper discusses an algorithm for inferring the bottom impermeable boundary of ocean basins from measurements of free-surface deviation, focusing on the reconstruction of bottom-boundary profile and fluid velocities. By considering two separate inverse problems, the algorithm accurately deduces the information needed. The role of model selection on algorithm design and reconstruction accuracy is emphasized.
STUDIES IN APPLIED MATHEMATICS
(2021)
Article
Mathematics, Applied
Efthymios N. Karatzas, Monica Nonino, Francesco Ballarin, Gianluigi Rozza
Summary: This study focuses on steady and unsteady Navier-Stokes flow systems in a reduced-order modeling framework using Proper Orthogonal Decomposition and a levelset geometry description. The discretization is done using an unfitted mesh Finite Element Method and extends the approaches of [1-3] to nonlinear CutFEM discretization. The study constructs and investigates a unified and geometry independent reduced basis that overcomes many barriers and complications that may occur during geometrical morphings.
COMPUTERS & MATHEMATICS WITH APPLICATIONS
(2022)
Article
Environmental Sciences
Longyu Huang, Junmin Meng, Chenqing Fan, Jie Zhang, Jingsong Yang
Summary: In this study, a new underwater topography detection method based on multi-source SAR (MSSTD) was proposed and its effectiveness was verified in a sea area. The GF-3 image performed the best among the four SAR images, and the resolution of the SAR image had a greater influence on bathymetry compared with polarization and radar band.
Article
Computer Science, Interdisciplinary Applications
Jian Dong
Summary: This paper introduces a surface reconstruction (SR) scheme for shallow water equations with a nonconservative product source term. The SR scheme is used to define the intermediate water depth and the bottom topography on the cell boundaries while maintaining their monotone property. The discretization of the nonconservative product term is achieved using a family of paths in phase space, leading to a more accurate approximation of the source term. A non-oscillatory monotone-preserving reconstruction method is introduced to achieve second-order accuracy. The SR scheme satisfies the semi-discrete and fully-discrete entropy inequalities, preserves stationary solutions, ensures nonnegativity of the water depth, and exhibits efficiency in computing shallow water flows over a step.
JOURNAL OF COMPUTATIONAL PHYSICS
(2023)
Article
Mathematics
Weisong Dong
Summary: This paper derives the a priori second order estimate for admissible solutions in the Gamma(k+1) cone of complex Hessian equations with dependencies on the gradient on compact Hermitian manifolds.
JOURNAL OF DIFFERENTIAL EQUATIONS
(2021)
Article
Geosciences, Multidisciplinary
Elisabetta Persi, Gabriella Petaccia, Stefano Sibilla
Article
Water Resources
Adermus Joseph, Nyankona Gonomy, Yves Zech, Sandra Soares-Frazao
HOUILLE BLANCHE-REVUE INTERNATIONALE DE L EAU
(2018)
Article
Engineering, Civil
Ilaria Fent, Yves Zech, Sandra Soares-Frazao
JOURNAL OF HYDRAULIC RESEARCH
(2019)
Article
Computer Science, Interdisciplinary Applications
F. Franzini, S. Soares-Frazao
JOURNAL OF HYDROINFORMATICS
(2018)
Article
Engineering, Civil
Rui Aleixo, Sandra Soares-Frazao, Yves Zech
JOURNAL OF HYDRAULIC RESEARCH
(2019)
Article
Environmental Sciences
Hoang-Anh Le, Jonathan Lambrechts, Sigrun Ortleb, Nicolas Gratiot, Eric Deleersnijder, Sandra Soares-Frazao
ENVIRONMENTAL FLUID MECHANICS
(2020)
Article
Marine & Freshwater Biology
Hoang-Anh Le, Nicolas Gratiot, William Santini, Olivier Ribolzi, Duc Tran, Xavier Meriaux, Eric Deleersnijder, Sandra Soares-Frazao
ESTUARINE COASTAL AND SHELF SCIENCE
(2020)
Article
Environmental Sciences
Chien Pham Van, Benjamin De Brye, Anouk De Brauwere, A. J. F. (Ton) Hoitink, Sandra Soares-Frazao, Eric Deleersnijder
Article
Engineering, Civil
G. Petaccia, L. Natale
JOURNAL OF HYDRAULIC ENGINEERING
(2020)
Article
Computer Science, Interdisciplinary Applications
Robin Meurice, Sandra Soares-Frazao
JOURNAL OF HYDROINFORMATICS
(2020)
Review
Computer Science, Interdisciplinary Applications
Sandra Soares-Frazao
JOURNAL OF HYDROINFORMATICS
(2020)
Article
Environmental Sciences
Sergio Martinez-Aranda, Robin Meurice, Sandra Soares-Frazao, Pilar Garcia-Navarro
Summary: The study compared three different strategies for solving the SWE + Exner system under capacity and noncapacity conditions to approximate experimental data with fixed setup parameters. The results indicated that the discrete strategy for computing intercell fluxes significantly impacted the solution. Furthermore, the noncapacity approach can enhance model prediction in regions with complex transient processes but requires careful calibration of the nonequilibrium parameters.
Review
Environmental Sciences
Francesca Aureli, Andrea Maranzoni, Gabriella Petaccia
Summary: Mapping dam break inundation is crucial for risk management, emergency planning, and assessing potential consequences. While historical dam-break field data validation is helpful, it may be inaccurate and incomplete. Real-field data can still provide valuable test cases for numerical models validation.
Article
Environmental Sciences
Elisabetta Persi, Sabrina Meninno, Gabriella Petaccia, Stefano Sibilla, Aronne Armanini
Summary: This study presents the application of a novel numerical model that incorporates wood transport during flood events to estimate the associated residual risk. Experimental validation of the model demonstrates its accuracy, and the analysis suggests that modulation of the transport velocity improves the model's performance under semi-congested conditions.
Article
Water Resources
Elisabetta Persi, Gabriella Petaccia, Stefano Sibilla, Roberto Bentivoglio, Aronne Armanini
Summary: An advection-diffusion model is proposed to simulate large wood transport during high flows, and validated through a series of flume experiments involving different control parameters. The model accurately predicts the displacement of logs and simulates planar diffusion of wooden mass, with room for improvement in controlling longitudinal diffusion.
