A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

Ramírez, Luis; Nogueira, Xesús; Khelladi, Sofiane; Krimi, Abdelkader; Colominas, Ignasi

doi:10.1016/j.cma.2018.07.036

Cited by 13 publications

(6 citation statements)

References 42 publications

(69 reference statements)

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“…The derivatives required to compute the Taylor polynomials are obtained using MLS approximations. In the following, we present very succinctly the MLS approximations approach, and we refer the reader to [21,[23][24][25][26] for a complete description of the method.…”

Section: High Order Reconstructions With Moving Least Squaresmentioning

confidence: 99%

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A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

et al. 2021

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In this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.

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Section: High Order Reconstructions With Moving Least Squaresmentioning

confidence: 99%

“…Unlike classical SPH formulations [20], this meshless formulation is based on Riemann solvers. The use of Riemann solvers avoids the need for explicit artificial dissipation and, the accuracy of the resulting scheme is increased with the aid of Moving Least Squares (MLS) [21][22][23][24][25][26].…”

Section: Introductionmentioning

confidence: 99%

A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

et al. 2021

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“…Thus, many SPH formulations use a term of artificial numerical dissipation to stabilize the schemes which may introduce excessive dissipation. A different possibility is using Riemann-solvers, which leads to a different family of methods [6][7][8][9][10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation

Krimi

Ramírez

Khelladi

et al. 2020

Water

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In this work we present a δ-Smoothed Particle Hydrodynamics (SPH) scheme for weakly compressible flows with automatic adaptive numerical dissipation. The resulting scheme is a meshless self-adaptive method, in which the introduced artificial dissipation is designed to increase the dissipation in zones where the flow is under-resolved by the numerical scheme, and to decrease it where dissipation is not required. The accuracy and robustness of the proposed methodology is tested by solving several numerical examples. Using the proposed scheme, we are able to recover the theoretical decay of kinetic energy, even where the flow is under-resolved in very coarse particle discretizations. Moreover, compared with the original δ-SPH scheme, the proposed method reduces the number of problem-dependent parameters.

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“…Smoothed particle hydrodynamics (SPH) is a numerical method that belongs to the Lagrangian meshless family. It was developed initially by Gingold and Monaghan [1] to simulate astrophysical phenomena, and since it has been known for a wide range of different different fields now, from coastal to ocean and marine engineering problems [2][3][4][5][6][7][8][9], especially for the simulation of large deformation fluid flows [10][11][12][13].…”

Section: Introductionmentioning

confidence: 99%

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

Krimi

Jandaghian

Shakibaeinia

2020

Water

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In this work, we develop an enhanced particle shifting strategy in the framework of weakly compressible δ+-SPH method. This technique can be considered as an extension of the so-called improved particle shifting technology (IPST) proposed by Wang et al. (2019). We introduce a new parameter named “ϕ” to the particle shifting formulation, on the one hand to reduce the effect of truncated kernel support on the formulation near the free surface region, on the other hand, to deal with the problem of poor estimation of free surface particles. We define a simple criterion based on the estimation of particle concentration to limit the error’s accumulation in time caused by the shifting in order to achieve a long time violent free surface flows simulation. We propose also an efficient and simple concept for free surface particles detection. A validation of accuracy, stability and consistency of the presented model was shown via several challenging benchmarks.

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A very accurate Arbitrary Lagrangian–Eulerian meshless method for Computational Aeroacoustics

Cited by 13 publications

References 42 publications

A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

Improved δ-SPH Scheme with Automatic and Adaptive Numerical Dissipation

A WCSPH Particle Shifting Strategy for Simulating Violent Free Surface Flows

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