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Valerio Caleffi

Università degli Studi di Ferrara, Engineering Department, Faculty Member

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Valerio Caleffi received a Ph.D. degree in civil engineering from the University of Ferrara in 2003. He is an Assistant Professor of hydraulics modeling at the University of Ferrara, Italy. His research interests are mainly devoted to the numerical modeling of the 1D and 2D shallow water equations, with fixed and mobile bed, to be applied to engineering problems (e.g., two-phase-solid and liquid-free surface flows with intense sediment transport
Address: Ferrara, Emilia-Romagna, Italy

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Papers by Valerio Caleffi

Free Surface Axially Symmetric Flows and Radial Hydraulic Jumps

Journal of Hydraulic Engineering, 2015

A comparison between bottom-discontinuity numerical treatments in the DG framework

Applied Mathematical Modelling, 2015

A well-balanced finite difference WENO scheme for shallow water flow model

Applied Mathematics and Computation, 2015

A study of the hydrodynamics of the coastal lagoon "Valli di Comacchio"

by Valerio Caleffi, Dario Bernardi, Leonardo Schippa, and Alessandro Valiani

Proceedings of 3rd Symposium on Shallow Flows

This work presents a study of the hydrodynamics of the Comacchio coastal lagoon, located in the N... more This work presents a study of the hydrodynamics of the Comacchio coastal lagoon, located in the North-East of Italy. Looking forward to the building of an earth-gravel levee, which has the aim to split the basin in two parts to overcome fishing management difficulties, a comparison of the water circulation in the northern and larger basin before and after the levee construction is performed. An extensive on-field campaign to collect geographical data has been carried out before the implementation of a 2D numerical model. The main hydrodynamics forcing are winds and tidal oscillations: a discussion of the results of the study is reported.

High-order well-balanced central WENO scheme for pre-balanced shallow water equations

Computers & Fluids, 2014

Numerical Modelling of Alternate Bars in Shallow Channels

Braided Rivers, 2006

Linear and angular momentum conservation for the hydraulic jump in converging channels

Journal of Hydraulic Research, 2013

Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

Journal of Computational Physics, 2006

A 2D local discontinuous Galerkin method for contaminant transport in channel bends

Computers & Fluids, 2013

A well-balanced, third-order-accurate RKDG scheme for SWE on curved boundary domains

Advances in Water Resources, 2012

Finite volume and WENO scheme in one-dimensional vascular system modelling

Computers & Mathematics With Applications, 2008

A new well-balanced Hermite weighted essentially non-oscillatory scheme for shallow water equations

International Journal for Numerical Methods in Fluids, 2011

Hermite weighted essentially non-oscillatory (HWENO) methods were introduced in the literature, i... more Hermite weighted essentially non-oscillatory (HWENO) methods were introduced in the literature, in the context of Euler equations for gas dynamics, to obtain high-order accuracy schemes characterized by high compactness (e.g. Qiu and Shu, J. Comput. Phys. 2003; 193:115). For example, classical fifth-order weighted essentially non-oscillatory (WENO) reconstructions are based on a five-cell stencil whereas the corresponding HWENO reconstructions are based on a narrower three-cell stencil. The compactness of the schemes allows easier treatment of the boundary conditions and of the internal interfaces. To obtain this compactness in HWENO schemes both the conservative variables and their first derivatives are evolved in time, whereas in the original WENO schemes only the conservative variables are evolved.In this work, an HWENO method is applied for the first time to the shallow water equations (SWEs), including the source term due to the bottom slope, to obtain a fourth-order accurate well-balanced compact scheme. Time integration is performed by a strong stability preserving the Runge–Kutta method, which is a five-step and fourth-order accurate method. Besides the classical SWE, the non-homogeneous equations describing the time and space evolution of the conservative variable derivatives are considered here. An original, well-balanced treatment of the source term involved in such equations is developed and tested. Several standard one-dimensional test cases are used to verify the high-order accuracy, the C-property and the good resolution properties of the model. Copyright © 2010 John Wiley & Sons, Ltd.

FINITE VOLUME SCHEME FOR 2D SHALLOW-WATER EQUATIONS APPLICATION TO A FLOOD EVENT IN THE TOCE RIVER

Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method

Journal of Hydraulic Engineering-asce, 2002

... Alessandro Valiani, Valerio Caleffi, Andrea Zanni. Abstract. ... The water flow is generally ... more

Depth–energy and depth–force relationships in open channel flows. II: Analytical findings for power-law cross-sections

Advances in Water Resources, 2009

Reply to comments on “Depth–energy and depth–force relationships in open channel flows II: Analytical findings for power-law cross sections” by A. Valiani, V. Caleffi

Advances in Water Resources, 2009

Analytical findings for power law cross-sections: Uniform flow depth

Advances in Water Resources, 2009

Linear and angular momentum conservation in hydraulic jump in diverging channels

Advances in Water Resources, 2011

High-order balanced CWENO scheme for movable bed shallow water equations

Advances in Water Resources, 2007

Depth–energy and depth–force relationships in open channel flows: Analytical findings

Advances in Water Resources, 2008

Free Surface Axially Symmetric Flows and Radial Hydraulic Jumps

Journal of Hydraulic Engineering, 2015

A comparison between bottom-discontinuity numerical treatments in the DG framework

Applied Mathematical Modelling, 2015

A well-balanced finite difference WENO scheme for shallow water flow model

Applied Mathematics and Computation, 2015

A study of the hydrodynamics of the coastal lagoon "Valli di Comacchio"

by Valerio Caleffi, Dario Bernardi, Leonardo Schippa, and Alessandro Valiani

Proceedings of 3rd Symposium on Shallow Flows

This work presents a study of the hydrodynamics of the Comacchio coastal lagoon, located in the N... more This work presents a study of the hydrodynamics of the Comacchio coastal lagoon, located in the North-East of Italy. Looking forward to the building of an earth-gravel levee, which has the aim to split the basin in two parts to overcome fishing management difficulties, a comparison of the water circulation in the northern and larger basin before and after the levee construction is performed. An extensive on-field campaign to collect geographical data has been carried out before the implementation of a 2D numerical model. The main hydrodynamics forcing are winds and tidal oscillations: a discussion of the results of the study is reported.

High-order well-balanced central WENO scheme for pre-balanced shallow water equations

Computers & Fluids, 2014

Numerical Modelling of Alternate Bars in Shallow Channels

Braided Rivers, 2006

Linear and angular momentum conservation for the hydraulic jump in converging channels

Journal of Hydraulic Research, 2013

Fourth-order balanced source term treatment in central WENO schemes for shallow water equations

Journal of Computational Physics, 2006

A 2D local discontinuous Galerkin method for contaminant transport in channel bends

Computers & Fluids, 2013

A well-balanced, third-order-accurate RKDG scheme for SWE on curved boundary domains

Advances in Water Resources, 2012

Finite volume and WENO scheme in one-dimensional vascular system modelling

Computers & Mathematics With Applications, 2008

A new well-balanced Hermite weighted essentially non-oscillatory scheme for shallow water equations

International Journal for Numerical Methods in Fluids, 2011

Hermite weighted essentially non-oscillatory (HWENO) methods were introduced in the literature, i... more Hermite weighted essentially non-oscillatory (HWENO) methods were introduced in the literature, in the context of Euler equations for gas dynamics, to obtain high-order accuracy schemes characterized by high compactness (e.g. Qiu and Shu, J. Comput. Phys. 2003; 193:115). For example, classical fifth-order weighted essentially non-oscillatory (WENO) reconstructions are based on a five-cell stencil whereas the corresponding HWENO reconstructions are based on a narrower three-cell stencil. The compactness of the schemes allows easier treatment of the boundary conditions and of the internal interfaces. To obtain this compactness in HWENO schemes both the conservative variables and their first derivatives are evolved in time, whereas in the original WENO schemes only the conservative variables are evolved.In this work, an HWENO method is applied for the first time to the shallow water equations (SWEs), including the source term due to the bottom slope, to obtain a fourth-order accurate well-balanced compact scheme. Time integration is performed by a strong stability preserving the Runge–Kutta method, which is a five-step and fourth-order accurate method. Besides the classical SWE, the non-homogeneous equations describing the time and space evolution of the conservative variable derivatives are considered here. An original, well-balanced treatment of the source term involved in such equations is developed and tested. Several standard one-dimensional test cases are used to verify the high-order accuracy, the C-property and the good resolution properties of the model. Copyright © 2010 John Wiley & Sons, Ltd.

FINITE VOLUME SCHEME FOR 2D SHALLOW-WATER EQUATIONS APPLICATION TO A FLOOD EVENT IN THE TOCE RIVER

Case Study: Malpasset Dam-Break Simulation using a Two-Dimensional Finite Volume Method

Journal of Hydraulic Engineering-asce, 2002

... Alessandro Valiani, Valerio Caleffi, Andrea Zanni. Abstract. ... The water flow is generally ... more

Depth–energy and depth–force relationships in open channel flows. II: Analytical findings for power-law cross-sections

Advances in Water Resources, 2009

Reply to comments on “Depth–energy and depth–force relationships in open channel flows II: Analytical findings for power-law cross sections” by A. Valiani, V. Caleffi

Advances in Water Resources, 2009

Analytical findings for power law cross-sections: Uniform flow depth

Advances in Water Resources, 2009

Linear and angular momentum conservation in hydraulic jump in diverging channels

Advances in Water Resources, 2011

High-order balanced CWENO scheme for movable bed shallow water equations

Advances in Water Resources, 2007

Depth–energy and depth–force relationships in open channel flows: Analytical findings

Advances in Water Resources, 2008