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Volume 13
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10.3390/w13172432
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Article

Towards a High Order Convergent ALE-SPH Scheme with Efficient WENO Spatial Reconstruction

by
Rubén Antona
1,
Renato Vacondio
2,
Diego Avesani
1,†,
Maurizio Righetti
1 and
Massimiliano Renzi
1,*
1
Faculty of Science and Technology, Free University of Bozen-Bolzano, Piazza Università 5, 39100 Bozen-Bolzano, Italy
2
Department of Engineering and Architecture, University of Parma, Parco Area delle Scienze 181/A, 43121 Parma, Italy
*
Author to whom correspondence should be addressed.
†
Current address: Department of Civil, Environmental and Mechanical Engineering, University of Trento, via Mesiano, 77 38123 Trento, Italy.
Water 2021, 13(17), 2432; https://doi.org/10.3390/w13172432
Submission received: 24 July 2021 / Revised: 29 August 2021 / Accepted: 30 August 2021 / Published: 4 September 2021
(This article belongs to the Section Hydraulics and Hydrodynamics)
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Abstract

This paper studies the convergence properties of an arbitrary Lagrangian–Eulerian (ALE) Riemann-based SPH algorithm in conjunction with a Weighted Essentially Non-Oscillatory (WENO) high-order spatial reconstruction, in the framework of the DualSPHysics open-source code. A convergence analysis is carried out for Lagrangian and Eulerian simulations and the numerical results demonstrate that, in absence of particle disorder, the overall convergence of the scheme is close to the one guaranteed by the WENO spatial reconstruction. Moreover, an alternative method for the WENO spatial reconstruction is introduced which guarantees a speed-up of 3.5, in comparison with the classical Moving Least-Squares (MLS) approach.
Keywords: smoothed particle hydrodynamics; weighted essentially non-oscillatory; high order; consistency; arbitrary lagrangian-eulerian smoothed particle hydrodynamics; weighted essentially non-oscillatory; high order; consistency; arbitrary lagrangian-eulerian

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MDPI and ACS Style

Antona, R.; Vacondio, R.; Avesani, D.; Righetti, M.; Renzi, M. Towards a High Order Convergent ALE-SPH Scheme with Efficient WENO Spatial Reconstruction. Water 2021, 13, 2432. https://doi.org/10.3390/w13172432

AMA Style

Antona R, Vacondio R, Avesani D, Righetti M, Renzi M. Towards a High Order Convergent ALE-SPH Scheme with Efficient WENO Spatial Reconstruction. Water. 2021; 13(17):2432. https://doi.org/10.3390/w13172432

Chicago/Turabian Style

Antona, Rubén, Renato Vacondio, Diego Avesani, Maurizio Righetti, and Massimiliano Renzi. 2021. "Towards a High Order Convergent ALE-SPH Scheme with Efficient WENO Spatial Reconstruction" Water 13, no. 17: 2432. https://doi.org/10.3390/w13172432

APA Style

Antona, R., Vacondio, R., Avesani, D., Righetti, M., & Renzi, M. (2021). Towards a High Order Convergent ALE-SPH Scheme with Efficient WENO Spatial Reconstruction. Water, 13(17), 2432. https://doi.org/10.3390/w13172432

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