Computationally Efficient Solution of a 2D Diffusive Wave Equation Used for Flood Inundation Problems

Artichowicz, Wojciech; Gąsiorowski, Dariusz

doi:10.3390/w11102195

Cited by 6 publications

(4 citation statements)

References 46 publications

(79 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The 2-D Diffusion Wave computational method solver [17] was used adopting an Implicit Finite Volume solution algorithm that allows for larger computational time steps than explicit solution methods and provides a greater degree of stability and robustness over traditional finite difference and finite element methodologies.…”

Section: Watercourse Hydraulic Characterization and Flood Mappingmentioning

confidence: 99%

Integrated flood studies in Sicily: a hydro-geomorphological approach

Di Francesco,

Carlino

2023

Nat Hazards

View full text Add to dashboard Cite

The present study originates from the need to investigate and monitor rivers in order to manage and mitigate fluvial dynamics and prevent flood adverse effects. The aim is to develop an integrated flood risk management procedure that properly incorporates safety and quality issues, in accordance respectively with Flood Directive and Water Framework Directive (WFD). Flood inundation models (2-D) were used to develop flood inundation maps that takes into account uncertainty related to modeling process and hazards related to channel dynamics were investigated. Two survey and classification tools, recently developed in the IDRAIM methodology, were tested: the 2 Morphological Dynamics Index (MDI) and the Event's Dynamics Classification (EDC). These latter tools are required for integrating the standard hydraulic analyses used for flood mapping and, therefore, for obtaining an overall more robust and reliable flood risk assessment.Hydraulic simulations and applications of morphological indexes were applied on two different rivers located in Sicily: a highly controlled river, Arena river, and a more dynamic gravel-bed river, Tempio river. Specifically, the indexes were used to identify portions of river interested by morphologic variability. Based on obtained results, interventions addressed to mitigate fluvial dynamics and prevent flood adverse effects were designed.

show abstract

Section: Watercourse Hydraulic Characterization and Flood Mappingmentioning

confidence: 99%

Integrated flood studies in Sicily: a hydro-geomorphological approach

Di Francesco,

Carlino

2023

Nat Hazards

View full text Add to dashboard Cite

show abstract

“…The Diffusion Wave model requires less time and promises higher model stability but at the expense of the precision of the results (Quirogaa et al, 2016). Artichowicz & Gąsiorowski (2019) presented a study that deals with increasing the computational efficiency in modeling floodplain inundation by using a two-dimensional Diffusion Wave equation. In the present study, both model options (the Full Momentum equations and the Diffusion Wave) were considered for HEC-RAS 2-D.…”

Section: Hec-ras Modelmentioning

confidence: 99%

Application of different building representation techniques in HEC-RAS 2-D for urban flood modeling using the Toce River experimental case

Mustafa

Szydłowski

2021

PeerJ

View full text Add to dashboard Cite

This paper presents the impact of the choice of building representation techniques and hydrodynamic models on urban flood simulations using HEC-RAS 2-D for the Toce River physical model. To this end, eight numerical models based on previous laboratory experiments were prepared to simulate unsteady urban flooding on each side of building units. Two simplified building layouts (aligned and staggered) were examined, where models were prepared for two different building representation techniques: Building Block (BB) and Building Resistance (BR). Water depth variation computations using the BR and BB techniques were compared to the laboratory measurements and previous studies in the literature. A statistical analysis was performed using both the Root Mean Square Error (RMSE) and the Pearson Product-Moment Correlation Coefficient (PPMCC) in order to evaluate the performance of the models. A sensitivity analysis showed that the proper mesh resolution and model parameter values were obtained. As far as the BR technique is concerned, it is well-suited for representing building units in numerical simulations using high Manning coefficients. Furthermore, this study confirms the importance of the BR technique, which should help researchers in using low-resolution Digital Elevation Models (DEMs) along with open-source programs. Moreover, the study aims to produce a deeper comprehension of numerical modeling and urban flooding.

show abstract

“…Consequently, changing the time step and the resolution of the grid, at the same time also affects the accuracy of the final solution. For this reason, it seems that the computational efficiency should be evaluated using both the total number of iterations (or the computational time) and the accuracy of the solution [40,41]. In this study, for the estimation of the computational efficiency, the following formula is proposed:…”

Section: Numerical Testsmentioning

confidence: 99%

Numerical Solution of the Two-Dimensional Richards Equation Using Alternate Splitting Methods for Dimensional Decomposition

Gąsiorowski

Kolerski

2020

Water

Self Cite

View full text Add to dashboard Cite

Research on seepage flow in the vadose zone has largely been driven by engineering and environmental problems affecting many fields of geotechnics, hydrology, and agricultural science. Mathematical modeling of the subsurface flow under unsaturated conditions is an essential part of water resource management and planning. In order to determine such subsurface flow, the two-dimensional (2D) Richards equation can be used. However, the computation process is often hampered by a high spatial resolution and long simulation period as well as the non-linearity of the equation. A new highly efficient and accurate method for solving the 2D Richards equation has been proposed in the paper. The developed algorithm is based on dimensional splitting, the result of which means that 1D equations can be solved more efficiently than as is the case with unsplit 2D algorithms. Moreover, such a splitting approach allows any algorithm to be used for space as well as time approximation, which in turn increases the accuracy of the numerical solution. The robustness and advantages of the proposed algorithms have been proven by two numerical tests representing typical engineering problems and performed for typical properties of soil.

show abstract

Computationally Efficient Solution of a 2D Diffusive Wave Equation Used for Flood Inundation Problems

Cited by 6 publications

References 46 publications

Integrated flood studies in Sicily: a hydro-geomorphological approach

Integrated flood studies in Sicily: a hydro-geomorphological approach

Application of different building representation techniques in HEC-RAS 2-D for urban flood modeling using the Toce River experimental case

Numerical Solution of the Two-Dimensional Richards Equation Using Alternate Splitting Methods for Dimensional Decomposition

Contact Info

Product

Resources

About