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

Antona, Rubén; Vacondio, Renato; Avesani, Diego; Righetti, Maurizio; Renzi, Massimiliano

doi:10.3390/w13172432

Cited by 13 publications

(6 citation statements)

References 42 publications

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“…Nogueira et al [103] implemented the MOOD paradigm in the MLS-WENO-SPH method [70,73] to determine, a posteriori, the optimal order of the polynomial reconstruction of MLS interpolation for each particle that provides the best compromise between accuracy and stability. Then, Antona et al [117] extended this method to the simulation of weakly-compressible viscous flow.…”

Section: = ( )mentioning

confidence: 99%

“…Different with Refs. [103,117], where the posteriori limiting procedure is performed at the MLS interpolation process, we derive herein the exploitation of MOOD paradigm to determine the optimal data reconstruction of the left and right states in the Riemann-based SPH method. The key idea is to introduce a Data Reconstruction Degree decrementing process to replace the counterpart based on Particle Polynomial Degree (PPD) applied in the original MOOD paradigm [103,116] .…”

Section: = ( )mentioning

confidence: 99%

See 1 more Smart Citation

Smoothed particle hydrodynamics: Methodology development and recent achievement

Zhang

Zhu

et al. 2022

J Hydrodyn

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Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) has experienced a tremendous enhancement in methodology and impacted a range of multi-physics applications in science and engineering. This review presents a concise survey on latest developments and achievements of the SPH method, including: (1) Brief review of theory and fundamental with kernel corrections, (2) The Riemann-based SPH method with dissipation limiting and high-order data reconstruction by using MUSCL, WENO and MOOD schemes, (3) Particle neighbor searching with particle sorting and efficient dual-criteria time stepping schemes, (4) Total Lagrangian formulation with stablized, dynamics relaxation and hourglass control schemes, (5) Fluid-structure interaction scheme with interface treatments and multi-resolution discretizations, (6) Novel applications of particle relaxation in SPH methodology for mesh and particle generations. Last but not least, benchmark tests for validating computational accuracy, convergence, robustness and efficiency are also supplied accordingly.

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Section: = ( )mentioning

confidence: 99%

Section: = ( )mentioning

confidence: 99%

Smoothed particle hydrodynamics: Methodology development and recent achievement

Zhang

Zhu

et al. 2022

J Hydrodyn

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show abstract

“…Nogueira et al [99] implemented the MOOD paradigm in the MLS-WENO-SPH method [63,66] to determine, a posteriori, the optimal order of the polynomial reconstruction of MLS interpolation for each particle that provides the best compromise between accuracy and stability. Then, Antona et al [111] extended this method to the simulation of weaklycompressible viscous flow.…”

Section: Mood Schemementioning

confidence: 99%

“…Different with Refs. [99,111], where the posteriori limiting procedure is performed at the MLS interpolation process, we derive herein the exploitation of MOOD paradigm to determine the optimal data reconstruction of the Left and Right states in the Riemann-based SPH method. The key idea is to introduce a Data Reconstruction Degree decrementing process to replace the counterpart based on Particle Polynomial Degree (PPD) applied in the original MOOD paradigm [99,110].…”

Section: Mood Schemementioning

confidence: 99%

Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement

Zhang¹,

Zhu²,

Wang³

et al. 2022

Preprint

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Since its inception, the full Lagrangian meshless smoothed particle hydrodynamics (SPH) method has experienced a tremendous enhancement in methodology and impacted a range of multi-physics applications in science and engineering. The paper presents a concise review on latest developments and achievements of the SPH method, including (1) brief review of theory and fundamental with kernel corrections, (2) the Riemann-based SPH method with dissipation limiting and high-order data reconstruction by using MUSCL, WENO and MOOD schemes, (3) particle neighbor searching with particle sorting and efficient dual-criteria time stepping schemes, (4) total Lagrangian formulation with stablized, dynamics relaxation and hourglass control schemes, (5) fluid-structure interaction scheme with interface treatments and multi-resolution discretizations, (6) novel applications of particle relaxation for mesh and particle generations. Last but not least, benchmark tests for validating computational accuracy, convergence, robustness and efficiency are also supplied accordingly.

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“…The difference is, in the WLS, the weightings are just factors, but in the MLS, the spatial derivatives of these weightings take important places in calculating the besought approximations. The weightings are also used as the smoothing kernel function in some relevant numerical methods such as the Smooth Particle Hydrodynamics [31][32][33].…”

Section: Approach For Calculating the Spatial Derivativesmentioning

confidence: 99%

A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves

Hsiao

et al. 2021

Water

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In this paper, an explicit time marching procedure for solving the non-hydrostatic shallow water equation (SWE) problems is developed. The procedure includes a process of prediction and several iterations of correction. In these processes, it is essential to accurately calculate the spatial derives of the physical quantities such as the temporal water depth, the average velocities in the horizontal and vertical directions, and the dynamic pressure at the bottom. The weighted-least-squares (WLS) meshless method is employed to calculate these spatial derivatives. Though the non-hydrostatic shallow water equations are two dimensional, on the focus of presenting this new time marching approach, we just use one dimensional benchmark problems to validate and demonstrate the stability and accuracy of the present model. Good agreements are found in the comparing the present numerical results with analytic solutions, experiment data, or other numerical results.

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

Cited by 13 publications

References 42 publications

Smoothed particle hydrodynamics: Methodology development and recent achievement

Smoothed particle hydrodynamics: Methodology development and recent achievement

Review on Smoothed Particle Hydrodynamics: Methodology development and recent achievement

A Weighted-Least-Squares Meshless Model for Non-Hydrostatic Shallow Water Waves

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