scholarly journals A Well-Balanced SPH-ALE Scheme for Shallow Water Applications

2021 ◽  
Vol 88 (3) ◽  
Author(s):  
Alberto Prieto-Arranz ◽  
Luis Ramírez ◽  
Iván Couceiro ◽  
Ignasi Colominas ◽  
Xesús Nogueira

AbstractIn this work, a new discretization of the source term of the shallow water equations with non-flat bottom geometry is proposed to obtain a well-balanced scheme. A Smoothed Particle Hydrodynamics Arbitrary Lagrangian-Eulerian formulation based on Riemann solvers is presented to solve the SWE. Moving-Least Squares approximations are used to compute high-order reconstructions of the numerical fluxes and, stability is achieved using the a posteriori MOOD paradigm. Several benchmark 1D and 2D numerical problems are considered to test and validate the properties and behavior of the presented schemes.

2020 ◽  
Vol 15 ◽  
pp. 155892502091561
Author(s):  
Linbo Yan ◽  
Zhengkai Sun ◽  
Han Cheng

In order to study the influence of rainstorm on parachute dropping, the smoothed particle hydrodynamics/arbitrary Lagrangian–Eulerian coupling method is proposed. Finite elements are used to describe the continuous material such as fabric and air flow field, and the smoothed particle hydrodynamics particles are used to describe the discrete raindrops. The coupling between different fluid and structure is realized by penalty function. In order to distinguish the most influential factor of rainstorm environment on parachute, the effects of raindrop field and wind field in rainstorm are studied, respectively. It could be found that the raindrop fields with different droplet sizes have little effect on the parachute’s shape, opening shock, and performance according to the comparative analysis, while the vertical wind field has a great influence on parachute’s deceleration performance. The wind field, not the raindrop field, is the most important factor affecting the parachute’s deceleration performance. The method and conclusions in this article could provide some references for parachute design.


Author(s):  
Kourosh Abdolmaleki

Hydrodynamic forces on subsea pipelines are simulated using Smoothed Particle Hydrodynamics (SPH) method. The objective is to assess the suitability of this method for common sub-sea engineering problems. The standard SPH formulation is used for simulation of cases with high KC and Re numbers, where the flow becomes turbulent with laminar or partially turbulent boundary layer. The numerical model includes a pipe section with smooth surface resting on a flat bottom. The pipe is exposed to various combinations of regular waves and current. The current is modelled as a steady flow of fluid particles and the waves are represented by forced oscillations of the pipe at defined frequencies and amplitudes. The selected KC and Re numbers produces subcritical and supercritical flows, which simulate extreme load cases on pipelines. In subcritical flows, the estimated forces on the pipeline agree well with experimental data. In supercritical flows with high KC and Re values, a relatively finer particle resolution is required in order to capture multiple harmonics of oscillating lift force. In conclusion, the SPH method could satisfactorily predict hydrodynamic forces on pipelines for the cases investigated.


Author(s):  
Anna Lyhne Jensen ◽  
Lasse Rosendahl ◽  
Henrik Sørensen ◽  
Flemming Lykholt-Ustrup

Simulation of clogging effects caused by cloths in wastewater pumps enables a faster and cheaper design process of wastewater pumps, which potentially leads to a reduction in the occurrence of clogging. Four potential methods for cloth simulation are reviewed and the challenges of each method are identified and compared. These methods are the Arbitrary Lagrangian-Eulerian (ALE) method, Immersed Boundary (IB) method, Smoothed Particle Hydrodynamics (SPH) coupled with the Finite Element method (FEM), and Computational Fluid Dynamics (CFD) coupled with the Discrete Element method (DEM). Each method has advantages and disadvantages, and each of them may prove to be applicable for the application. The CFD-DEM approach is chosen for future work.


2018 ◽  
Vol 16 (02) ◽  
pp. 1846010 ◽  
Author(s):  
Zhi Wen Cai ◽  
Zhi Zong ◽  
Zhen Chen ◽  
Li Zhou ◽  
Chao Tian

In this paper, a multiphase Godunov-type smoothed-particle hydrodynamics (MGSPH) method is presented for simulating multi-fluid Riemann problems with complex equations of state (EOSs). In this method, single-phase Riemann solvers are used between particles with same phase, and interfacial approximate Riemann solvers are introduced on the interfacial particle pairs. Various combinations of single-phase and interface approximate Riemann solvers are comparatively studied to find out the best combination for MGSPH. Five examples are presented to verify MGSPH method.


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