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

被引：16

作者：

Antona, Ruben ^{[1
]}

Vacondio, Renato ^{[2
]}

Avesani, Diego ^{[1
,3
]}

Righetti, Maurizio ^{[1
]}

Renzi, Massimiliano ^{[1
]}

机构：

[1] Free Univ Bozen Bolzano, Fac Sci & Technol, Piazza Univ 5, I-39100 Bozen Bolzano, Italy

[2] Univ Parma, Dept Engn & Architecture, Parco Area Sci 181-A, I-43121 Parma, Italy

[3] Univ Trento, Dept Civil Environm & Mech Engn, Via Mesiano 77, I-38123 Trento, Italy

来源：

WATER | 2021年 / 13卷 / 17期

关键词：

smoothed particle hydrodynamics; weighted essentially non-oscillatory; high order; consistency; arbitrary lagrangian-eulerian; SMOOTHED PARTICLE HYDRODYNAMICS; FREE-SURFACE FLOWS; CONSISTENCY; FORMULATION; ALGORITHM; MODEL;

D O I：

10.3390/w13172432

中图分类号：

X [环境科学、安全科学];

学科分类号：

08 ; 0830 ;

摘要：

This paper studies the convergence properties of an arbitrary Lagrangian-Eulerian (ALE) Riemann-based SPH algorithm in conjunction with a Weighted Essentially Non-Oscillatory (WENO) high-order spatial reconstruction, in the framework of the DualSPHysics open-source code. A convergence analysis is carried out for Lagrangian and Eulerian simulations and the numerical results demonstrate that, in absence of particle disorder, the overall convergence of the scheme is close to the one guaranteed by the WENO spatial reconstruction. Moreover, an alternative method for the WENO spatial reconstruction is introduced which guarantees a speed-up of 3.5, in comparison with the classical Moving Least-Squares (MLS) approach.

引用

页数：15

共 49 条

[1] SPH Simulations of Real Sea Waves Impacting a Large-Scale Structure [J].

Altomare, Corrado ;

Tafuni, Angelantonio ;

Dominguez, Jose M. ;

Crespo, Alejandro J. C. ;

Gironella, Xavi ;

Sospedra, Joaquim .

JOURNAL OF MARINE SCIENCE AND ENGINEERING, 2020, 8 (10) :1-21

[2] Smoothed particle hydrodynamics method from a large eddy simulation perspective. Generalization to a quasi-Lagrangian model [J].

Antuono, M. ;

Marrone, S. ;

Di Mascio, A. ;

Colagrossi, A. .

PHYSICS OF FLUIDS, 2021, 33 (01)

[3] An alternative SPH formulation: ADER-WENO-SPH [J].

Avesani, Diego ;

Dumbser, Michael ;

Vacondio, Renato ;

Righetti, Maurizio .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2021, 382

[4] An alternative smooth particle hydrodynamics formulation to simulate chemotaxis in porous media [J].

Avesani, Diego ;

Dumbser, Michael ;

Chiogna, Gabriele ;

Bellin, Alberto .

JOURNAL OF MATHEMATICAL BIOLOGY, 2017, 74 (05) :1037-1058

[5] Smooth Particle Hydrodynamics with nonlinear Moving-Least-Squares WENO reconstruction to model anisotropic dispersion in porous media [J].

Avesani, Diego ;

Herrera, Paulo ;

Chiogna, Gabriele ;

Bellin, Alberto ;

Dumbser, Michael .

ADVANCES IN WATER RESOURCES, 2015, 80 :43-59

[6] A new class of Moving-Least-Squares WENO-SPH schemes [J].

Avesani, Diego ;

Dumbser, Michael ;

Bellin, Alberto .

JOURNAL OF COMPUTATIONAL PHYSICS, 2014, 270 :278-299

[7]

Batchelor GK., 2000, INTRO FLUID DYNAMICS

[8]

Bonet J, 2000, INT J NUMER METH ENG, V47, P1189, DOI 10.1002/(SICI)1097-0207(20000228)47:6<1189::AID-NME830>3.0.CO

[9]

2-I

[10]

Bottelli D.N., 2019, P 14 INT SPHERIC WOR

← 1 2 3 4 5 →