Higher-order nonlocal theory of Updated Lagrangian Particle Hydrodynamics (ULPH) and simulations of multiphase flows

2020 ◽  
Vol 368 ◽  
pp. 113176 ◽  
Author(s):  
Jiale Yan ◽  
Shaofan Li ◽  
Xingyu Kan ◽  
A-Man Zhang ◽  
Xin Lai
Keyword(s):  
Multiphase Flows ◽  
Nonlocal Theory ◽  
Higher Order ◽  
Lagrangian Particle ◽  
Particle Hydrodynamics ◽  
Updated Lagrangian

Updated Lagrangian Particle Hydrodynamics (ULPH) modeling and simulation of multiphase flows

2019 ◽  
Vol 393 ◽  
pp. 406-437 ◽  
Author(s):  
Jiale Yan ◽  
Shaofan Li ◽  
A-Man Zhang ◽  
Xingyu Kan ◽  
Peng-Nan Sun
Keyword(s):  
Modeling And Simulation ◽  
Multiphase Flows ◽  
Lagrangian Particle ◽  
Particle Hydrodynamics ◽  
Updated Lagrangian

Lagrangian particle model for multiphase flows

2009 ◽  
Vol 180 (10) ◽  
pp. 1874-1881 ◽  
Author(s):  
Alexandre M. Tartakovsky ◽  
Kim F. Ferris ◽  
Paul Meakin
Keyword(s):  
Multiphase Flows ◽  
Particle Model ◽  
Lagrangian Particle ◽  
Lagrangian Particle Model

Accuracy analysis of different higher-order Laplacian models of incompressible SPH method

2019 ◽  
Vol 37 (1) ◽  
pp. 181-202 ◽  
Author(s):  
Zohreh Heydari ◽  
Gholamreza Shobeyri ◽  
Seyed Hossein Ghoreishi Najafabadi
Keyword(s):  
Least Squares Method ◽  
Computational Cost ◽  
Higher Order ◽  
Computational Domain ◽  
Content Type ◽  
Incompressible Sph ◽  
Proposed Model ◽  
Particle Hydrodynamics ◽  
Moving Least Squares Method ◽  
Smoothed Particle

Purpose This paper aims to examine the accuracy of several higher-order incompressible smoothed particle hydrodynamics (ISPH) Laplacian models and compared with the classic model (Shao and Lo, 2003). Design/methodology/approach The numerical errors in solving two-dimensional elliptic partial differential equations using the Laplacian models are investigated for regular and highly irregular node distributions over a unit square computational domain. Findings The numerical results show that one of the Laplacian models, which is newly developed by one of the authors (Shobeyri, 2019) can get the smallest errors for various used node distributions. Originality/value The newly proposed model is formulated by the hybrid of the standard ISPH Laplacian model combined with Taylor expansion and moving least squares method. The superiority of the proposed model is significant when multi-resolution irregular node distributions commonly seen in adaptive refinement strategies used to save computational cost are applied.

Simulation of Free Surface Benchmark Problems Using Level Set and SPH Methods

2011 ◽  
Author(s):  
Nitin Repalle ◽  
Ashkan Rafiee ◽  
K. P. Thiagarajan ◽  
Murali Kantharaj
Keyword(s):  
Level Set ◽  
Multiphase Flows ◽  
Benchmark Problems ◽  
Robust Methods ◽  
Moving Interface ◽  
Particle Hydrodynamics ◽  
Smoothed Particle ◽  
Bubble Rising ◽  
Density Ratios ◽  
Physical Phenomena

Multiphase flows are present in many different industrial and research applications. The accurate tracking of interfaces is therefore an important part of numerical simulation of many physical phenomena. One of the challenges in modeling multiphase flows is to capture a moving interface with a large deformation, especially the breaking and merging of the interface. In the recent past, level set method and Smoothed Particle Hydrodynamics (SPH) have emerged as efficient and robust methods to handle multiphase flows with large topological changes and high density ratios. The capability, efficiency and accuracy of these techniques are compared for a range of benchmark problems, such as gas bubble rising in a viscous liquid and collapse of a column of water. The results are compared with available numerical and experimental data.

A Study of the Stability Properties of Smooth Particle Hydrodynamics

1996 ◽  
Vol 13 (1) ◽  
pp. 97-102 ◽  
Author(s):  
Joseph Peter Morris
Keyword(s):  
Higher Order ◽  
Smooth Particle Hydrodynamics ◽  
Detailed Report ◽  
Transverse Waves ◽  
Stability Properties ◽  
Particle Hydrodynamics ◽  
Order Spline ◽  
The Stability ◽  
Spline Interpolants

AbstractWhen using a formulation of smooth particle hydrodynamics (SPH) which conserves momentum exactly the motion of the particles is observed to be unstable to negative stress. It is also found that under normal circumstances a lattice of SPH particles is potentially unstable to transverse waves. This paper is a summary of a detailed report (Morris 1994) investigating the nature of these and other instabilities in depth. Approaches which may be used to eliminate these instabilities are suggested. It is found that the stability properties of SPH in general improve as higher-order spline interpolants, approximating a Gaussian, are used as kernels.

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