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

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

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 ca...

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Bibliographic Details
Main Authors: Rubén Antona, Renato Vacondio, Diego Avesani, Maurizio Righetti, Massimiliano Renzi
Format: Article
Language:English
Published: MDPI AG 2021-09-01
Series:Water
Subjects:
smoothed particle hydrodynamics
weighted essentially non-oscillatory
high order
consistency
arbitrary lagrangian-eulerian
Online Access:https://www.mdpi.com/2073-4441/13/17/2432
Description
Summary: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.
ISSN:2073-4441

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