High strain Lagrangian hydrodynamics: a three-dimensional SPH code for dynamic material response
Journal of Computational Physics
Simulating free surface flows with SPH
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Constructing smoothing functions in smoothed particle hydrodynamics with applications
Journal of Computational and Applied Mathematics
Numerical simulation of interfacial flows by smoothed particle hydrodynamics
Journal of Computational Physics
Near-wall behavior of RANS turbulence models and implications for wall functions
Journal of Computational Physics
Journal of Computational Physics
The numerical simulation of liquid sloshing on board spacecraft
Journal of Computational Physics
An incompressible multi-phase SPH method
Journal of Computational Physics
A numerical study of three-dimensional liquid sloshing in tanks
Journal of Computational Physics
Hybrid Simulations of Reaction-Diffusion Systems in Porous Media
SIAM Journal on Scientific Computing
Restoring particle consistency in smoothed particle hydrodynamics
Applied Numerical Mathematics
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Smoothed particle hydrodynamics (SPH) is a popular meshfree, Lagrangian particle method with attractive features in modeling liquid sloshing dynamics, which is usually associated with changing and breakup of free surfaces, strong turbulence and vortex, and ''violent'' fluid-solid interaction. This paper presents an improved SPH method for modeling liquid sloshing dynamics. Firstly, modified schemes for approximating density (density correction) and kernel gradient (kernel gradient correction, or KGC) have been used to achieve better accuracy with smoother pressure field. Secondly, the Reynolds Averaged turbulence model is incorporated into the SPH method to describe the turbulence effects. Thirdly, a coupled dynamic solid boundary treatment (SBT) algorithm has been proposed to improve the accuracy near the solid boundary areas. The new SBT algorithm consists of a kernel-like, soft repulsive force between approaching fluid and solid particles, and a reliable numerical approximation scheme for estimating field functions of virtual solid particles. Three numerical examples are modeled using this improved SPH method, and the obtained numerical results agree well with experimental observations and results from other sources.