Year: 2013
Communications in Computational Physics, Vol. 14 (2013), Iss. 2 : pp. 425–442
Abstract
In this paper, we study a class of contact smoothed particle hydrodynamics (SPH) by introducing Riemann solvers and using high-order limiters. In particular, a promising concept of WENO interpolation as limiter is presented in the reconstruction process. The physical values relating interactional particles used as the initial values of the Riemann problem can be reconstructed by the Taylor series expansion. The contact solvers of the Riemann problem at contact points are incorporated in SPH approximations. In order to keep the fluid density at the wall rows to be consistent with that of the inner fluid wall boundaries, several lines of dummy particles are placed outside of the solid walls, which are assigned according to the initial configuration. At last, the method is applied to compressible flows with sharp discontinuities such as the collision of two strong shocks and the interaction of two blast waves and so on. The numerical results indicate that the method is capable of handling sharp discontinuity and efficiently reducing unphysical oscillations.
You do not have full access to this article.
Already a Subscriber? Sign in as an individual or via your institution
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cicp.141211.260912a
Communications in Computational Physics, Vol. 14 (2013), Iss. 2 : pp. 425–442
Published online: 2013-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 18
-
High-resolution strategy for localized method of approximate particular solutions to solve unsteady Navier–Stokes problems
Zhang, Xueying | Wu, YangjiongEngineering Analysis with Boundary Elements, Vol. 159 (2024), Iss. P.11
https://doi.org/10.1016/j.enganabound.2023.11.018 [Citations: 0] -
An Eulerian SPH method with WENO reconstruction for compressible and incompressible flows
Wang, Zhentong | Zhang, Chi | Haidn, Oskar J. | Hu, XiangyuJournal of Hydrodynamics, Vol. 35 (2023), Iss. 2 P.210
https://doi.org/10.1007/s42241-023-0025-z [Citations: 1] -
On methodology and application of smoothed particle hydrodynamics in fluid, solid and biomechanics
Xu, Fei | Wang, Jiayi | Yang, Yang | Wang, Lu | Dai, Zhen | Han, RuiqiActa Mechanica Sinica, Vol. 39 (2023), Iss. 2
https://doi.org/10.1007/s10409-022-22185-x [Citations: 17] -
FSISPH: An SPH formulation for impacts between dissimilar materials
Pearl, Jason M. | Raskin, Cody D. | Michael Owen, J.Journal of Computational Physics, Vol. 469 (2022), Iss. P.111533
https://doi.org/10.1016/j.jcp.2022.111533 [Citations: 3] -
Local method of approximate particular solutions for two-dimensional unsteady Burgers’ equations
Zhang, Xueying | Tian, Haiyan | Chen, WenComputers & Mathematics with Applications, Vol. 66 (2014), Iss. 12 P.2425
https://doi.org/10.1016/j.camwa.2013.10.009 [Citations: 13] -
A finite particle method based on a Riemann solver for modeling incompressible flows
Zhang, Fan | Huang, Can | Zhang, Huashan | Liu, Tiegang | Liu, MoubinComputers & Mathematics with Applications, Vol. 124 (2022), Iss. P.74
https://doi.org/10.1016/j.camwa.2022.08.017 [Citations: 3] -
High-accurate SPH method with Multidimensional Optimal Order Detection limiting
Nogueira, Xesús | Ramírez, Luis | Clain, Stéphane | Loubère, Raphaël | Cueto-Felgueroso, Luis | Colominas, IgnasiComputer Methods in Applied Mechanics and Engineering, Vol. 310 (2016), Iss. P.134
https://doi.org/10.1016/j.cma.2016.06.032 [Citations: 35] -
Parallel SPH modeling using dynamic domain decomposition and load balancing displacement of Voronoi subdomains
Egorova, M.S. | Dyachkov, S.A. | Parshikov, A.N. | Zhakhovsky, V.V.Computer Physics Communications, Vol. 234 (2019), Iss. P.112
https://doi.org/10.1016/j.cpc.2018.07.019 [Citations: 34] -
Embedment of WENO-Z reconstruction in Lagrangian WLS scheme implemented on GPU for strongly-compressible multi-phase flows
Jiang, Tao | Liu, Yu-Hang | Meng, Zi-Fei | Sun, Peng-Nan | Wei, Xiang-Yang | Wang, Deng-ShanComputer Methods in Applied Mechanics and Engineering, Vol. 430 (2024), Iss. P.117209
https://doi.org/10.1016/j.cma.2024.117209 [Citations: 0] -
A weakly compressible SPH method with WENO reconstruction
Zhang, C. | Xiang, G.M. | Wang, B. | Hu, X.Y. | Adams, N.A.Journal of Computational Physics, Vol. 392 (2019), Iss. P.1
https://doi.org/10.1016/j.jcp.2019.04.038 [Citations: 48] -
Smoothed particle hydrodynamics: Methodology development and recent achievement
Zhang, Chi | Zhu, Yu-jie | Wu, Dong | Adams, Nikolaus A. | Hu, XiangyuJournal of Hydrodynamics, Vol. 34 (2022), Iss. 5 P.767
https://doi.org/10.1007/s42241-022-0052-1 [Citations: 44]