High-order consistent SPH with the pressure projection method in 2-D and 3-D

Nasar, Abouzied; Fourtakas, Georgios; Lind, Steven; King, Jack; Rogers, Benedict D.; Stansby, Peter

doi:10.1016/j.jcp.2021.110563

Cited by 17 publications

(1 citation statement)

References 67 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Afterward, by introducing RKPM into MFPM computing framework, Asprone et al [46] proposed a novel second order modified FPM method and systematically discussed the calculation error. Nasar et al [47] suggested an arbitrarily high-order extension of FPM, where the complexity of the consistency correction and the required computations are reduced using simplified versions of the smoothing kernel derivatives. For the physical models, Zhang et al [48] suggested the decoupled FPM (DFPM) algorithm under a simplified assumption of the diagonally dominant matrices in FPM fundamental equation and applied it to simulate incompressible flow problem.…”

Section: High-accuracy Sph Algorithmsmentioning

confidence: 99%

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Wang

Yang

et al. 2023

Acta Mech. Sin.

View full text Add to dashboard Cite

Smoothed particle hydrodynamics (SPH), as one of the earliest meshfree methods, has broad prospects in modeling a wide range of problems in engineering and science, including extremely large deformation problems such as explosion and high velocity impact. This paper aims to provide a comprehensive overview on the recent advances of SPH method in the fields of fluid, solid, and biomechanics. First, the theory of SPH is described, and improved algorithms of SPH with high accuracy are summarized, such as the finite particle method (FPM). Techniques used in SPH method for simulating fluid, solid and biomechanics problems are discussed. The δ -SPH method and Godunov SPH (GSPH) based on the Riemann model are described for handling instability issues in fluid dynamics. Next, the interface contact algorithm for fluid-structure interaction is also discussed. The common algorithms for improving the tensile instability and the framework of total Lagrangian SPH are examined for challenging tasks in solid mechanics. In terms of biomechanics, the governing equations and the coupling forces based on SPH method are exemplified. Then, various typical engineering applications and recent advances are elaborated. The application of fluid mainly depicts the interaction between fluid and rigid body as well as elastomer, while some complicated fluid-structure interaction ocean engineering problems are also presented. In the aspect of solid dynamics, galaxy, geotechnical mechanics, explosion and impact, and additive manufacturing are summarized. Furthermore, the recent advancements of SPH method in biomechanics, such as hemodynamically and gut health, are discussed in general. In addition, to overcome the limitations of computational efficiency and computational scale, the multiscale adaptive resolution, the parallel algorithm and the automated mesh generation are addressed. The development of SPH software in China and abroad is also summarized. Finally, the challenging task of SPH method in the future is summarized. In future research work, the establishment of multi-scale coupled SPH model and deep learning technology in solid and biodynamics will be the focus of expanding the engineering applications of SPH methods.

show abstract

Section: High-accuracy Sph Algorithmsmentioning

confidence: 99%

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Wang

Yang

et al. 2023

Acta Mech. Sin.

View full text Add to dashboard Cite

show abstract

Study of 3D self-propulsive fish swimming using the δ+-SPH model

et al. 2022

View full text Add to dashboard Cite

A WENO SPH scheme with improved transport velocity and consistent divergence operator

Antona,

Vacondio,

Avesani

et al. 2023

Comp. Part. Mech.

View full text Add to dashboard Cite

The Arbitrary Lagrangian–Eulerian Smoothed Particle Hydrodynamics (ALE-SPH) formulation can guarantee stable solutions preventing the adoption of empirical parameters such as artificial viscosity. However, the convergence rate of the ALE-SPH formulation is still limited by the inaccuracy of the SPH spatial operators. In this work, a Weighted Essentially Non-Oscillatory (WENO) spatial reconstruction is then adopted to minimise the numerical diffusion introduced by the approximate Riemann solver (which ensures stability), in combination with two alternative approaches to restore the consistency of the scheme: corrected divergence SPH operators and the particle regularisation guaranteed by the correction of the transport velocity. The present work has been developed in the framework of the DualSPHysics open-source code. The beneficial effect of the WENO reconstruction to reduce numerical diffusion in ALE-SPH schemes is first confirmed by analysing the propagation of a small pressure perturbation in a fluid initially at rest. With the aid of a 2-D vortex test case, it is then demonstrated that the two aforementioned techniques to restore consistency effectively reduce saturation in the convergence to the analytical solution. Moreover, high-order (above second) convergence is achieved. Yet, the presented scheme is tested by means of a circular blast wave problem to demonstrate that the restoration of consistency is a key feature to guarantee accuracy even in the presence of a discontinuous pressure field. Finally, a standing wave has been reproduced with the aim of assessing the capability of the proposed approach to simulate free-surface flows.

show abstract

High-order consistent SPH with the pressure projection method in 2-D and 3-D

Cited by 17 publications

References 67 publications

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics

Study of 3D self-propulsive fish swimming using the δ+-SPH model

A WENO SPH scheme with improved transport velocity and consistent divergence operator

Contact Info

Product

Resources

About