Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up

De Padova, Diana; Calvo, Lucas; Carbone, Paolo Michele; Maraglino, Domenico; Mossa, Michele

doi:10.3390/app11209421

Open AccessArticle

Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up

by

Diana De Padova

^1,*

,

Lucas Calvo

²,

Paolo Michele Carbone

¹

,

Domenico Maraglino

¹

and

Michele Mossa

¹

Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via E. Orabona 4, 70125 Bari, Italy

²

Centro de Investigaciones Hidráulicas e Hidrotécnicas, Universidad Tecnológica de Panamá, Panamá 0819-07289, Panama

^*

Author to whom correspondence should be addressed.

Appl. Sci. 2021, 11(20), 9421; https://doi.org/10.3390/app11209421

Submission received: 26 July 2021 / Revised: 14 September 2021 / Accepted: 2 October 2021 / Published: 11 October 2021

(This article belongs to the Special Issue Element-Based Methods for the Solution of Engineering Problems)

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Abstract

The present paper places emphasis on the most widely used Computational Fluid Dynamics (CFD) approaches, namely the Eulerian and Lagrangian methods each of which is characterized by specific advantages and disadvantages. In particular, a weakly compressible smoothed particle (WCSPH) model, coupled with a sub-particle scale (SPS) approach for turbulent stresses and a new depth-integrated non-hydrostatic finite element model were employed for the simulation of regular breaking waves on a plane slope and solitary waves transformation, breaking and run-up. The validation of the numerical schemes was performed through the comparison between numerical and experimental data. The aim of this study is to compare the two modeling methods with an emphasis on their performance in the simulation of hydraulic engineering problems.

Keywords: Eulerian method; Lagrangian method; smoothed particle hydrodynamics models; finite element method; wave transformation; breaking; run-up

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MDPI and ACS Style

De Padova, D.; Calvo, L.; Carbone, P.M.; Maraglino, D.; Mossa, M. Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up. Appl. Sci. 2021, 11, 9421. https://doi.org/10.3390/app11209421

AMA Style

De Padova D, Calvo L, Carbone PM, Maraglino D, Mossa M. Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up. Applied Sciences. 2021; 11(20):9421. https://doi.org/10.3390/app11209421

Chicago/Turabian Style

De Padova, Diana, Lucas Calvo, Paolo Michele Carbone, Domenico Maraglino, and Michele Mossa. 2021. "Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up" Applied Sciences 11, no. 20: 9421. https://doi.org/10.3390/app11209421

APA Style

De Padova, D., Calvo, L., Carbone, P. M., Maraglino, D., & Mossa, M. (2021). Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up. Applied Sciences, 11(20), 9421. https://doi.org/10.3390/app11209421

Note that from the first issue of 2016, this journal uses article numbers instead of page numbers. See further details here.

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Comparison between the Lagrangian and Eulerian Approach for Simulating Regular and Solitary Waves Propagation, Breaking and Run-Up

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