A shallow water SPH model with PML boundaries

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4 Citazioni (Scopus)

Abstract

We focus on the study and implementation of Smoothed Particle Hydrodynamics (SPH) numerical code to deal with non-reflecting boundary conditions, starting from the Perfect Matched Layer (PML) approach. Basically, the method exploits the concept of a physical damping which acts on a fictitious layer added to the edges of computational domain. In this paper, we develop the study of time dependent shallow waves propagating on a finite 2D-XY plane domain and their behavior in the presence of circular and, more generic, rectangular boundary absorbing layers. In particular, an analysis of variation of the layer׳s thickness versus the absorbing efficiency is conducted. In our model, the magnitude of absorbtion of a specific layer in which two types of damping functions (linear and hyperbolic) are activated is compared with the one produced by the antithetical cases of total reflecting and open boundaries. The results obtained indicate the good applicability of PML approach to SPH numerical scheme showing high absorption values with reasonable thickness of the absorbing layers.
Lingua originaleEnglish
pagine (da-a)315-324
Numero di pagine10
RivistaOcean Engineering
Volume108
Stato di pubblicazionePublished - 2015

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Boundary layers
Hydrodynamics
Damping
Water
Boundary conditions

All Science Journal Classification (ASJC) codes

  • Ocean Engineering
  • Environmental Engineering

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title = "A shallow water SPH model with PML boundaries",
abstract = "We focus on the study and implementation of Smoothed Particle Hydrodynamics (SPH) numerical code to deal with non-reflecting boundary conditions, starting from the Perfect Matched Layer (PML) approach. Basically, the method exploits the concept of a physical damping which acts on a fictitious layer added to the edges of computational domain. In this paper, we develop the study of time dependent shallow waves propagating on a finite 2D-XY plane domain and their behavior in the presence of circular and, more generic, rectangular boundary absorbing layers. In particular, an analysis of variation of the layer׳s thickness versus the absorbing efficiency is conducted. In our model, the magnitude of absorbtion of a specific layer in which two types of damping functions (linear and hyperbolic) are activated is compared with the one produced by the antithetical cases of total reflecting and open boundaries. The results obtained indicate the good applicability of PML approach to SPH numerical scheme showing high absorption values with reasonable thickness of the absorbing layers.",
author = "Diego Molteni and Rosario Grammauta and Enrico Vitanza and Massimiliano Monteforte and Rosario Grammauta",
year = "2015",
language = "English",
volume = "108",
pages = "315--324",
journal = "Ocean Engineering",
issn = "0029-8018",
publisher = "Elsevier BV",

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TY - JOUR

T1 - A shallow water SPH model with PML boundaries

AU - Molteni, Diego

AU - Grammauta, Rosario

AU - Vitanza, Enrico

AU - Monteforte, Massimiliano

AU - Grammauta, Rosario

PY - 2015

Y1 - 2015

N2 - We focus on the study and implementation of Smoothed Particle Hydrodynamics (SPH) numerical code to deal with non-reflecting boundary conditions, starting from the Perfect Matched Layer (PML) approach. Basically, the method exploits the concept of a physical damping which acts on a fictitious layer added to the edges of computational domain. In this paper, we develop the study of time dependent shallow waves propagating on a finite 2D-XY plane domain and their behavior in the presence of circular and, more generic, rectangular boundary absorbing layers. In particular, an analysis of variation of the layer׳s thickness versus the absorbing efficiency is conducted. In our model, the magnitude of absorbtion of a specific layer in which two types of damping functions (linear and hyperbolic) are activated is compared with the one produced by the antithetical cases of total reflecting and open boundaries. The results obtained indicate the good applicability of PML approach to SPH numerical scheme showing high absorption values with reasonable thickness of the absorbing layers.

AB - We focus on the study and implementation of Smoothed Particle Hydrodynamics (SPH) numerical code to deal with non-reflecting boundary conditions, starting from the Perfect Matched Layer (PML) approach. Basically, the method exploits the concept of a physical damping which acts on a fictitious layer added to the edges of computational domain. In this paper, we develop the study of time dependent shallow waves propagating on a finite 2D-XY plane domain and their behavior in the presence of circular and, more generic, rectangular boundary absorbing layers. In particular, an analysis of variation of the layer׳s thickness versus the absorbing efficiency is conducted. In our model, the magnitude of absorbtion of a specific layer in which two types of damping functions (linear and hyperbolic) are activated is compared with the one produced by the antithetical cases of total reflecting and open boundaries. The results obtained indicate the good applicability of PML approach to SPH numerical scheme showing high absorption values with reasonable thickness of the absorbing layers.

UR - http://hdl.handle.net/10447/144932

UR - http://www.sciencedirect.com/science/article/pii/S0029801815003674

M3 - Article

VL - 108

SP - 315

EP - 324

JO - Ocean Engineering

JF - Ocean Engineering

SN - 0029-8018

ER -