Computer simulation using particles
Computer simulation using particles
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
Smoothed particle hydrodynamics stability analysis
Journal of Computational Physics
Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Conduction modelling using smoothed particle hydrodynamics
Journal of Computational Physics
Journal of Computational Physics
SPH without a tensile instability
Journal of Computational Physics
Remeshed smoothed particle hydrodynamics for the simulation of viscous and heat conducting flows
Journal of Computational Physics
A regularized Lagrangian finite point method for the simulation of incompressible viscous flows
Journal of Computational Physics
Galerkin based smoothed particle hydrodynamics
Computers and Structures
Enhancement of stability and accuracy of the moving particle semi-implicit method
Journal of Computational Physics
A new particle method for simulating breakup of liquid jets
Journal of Computational Physics
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In this paper we present two enhanced variants of the smoothed particle hydrodynamics (SPH) method for the numerical simulation of free surface flows of viscous fluids. Improvements are achieved by deriving a new set of general discrete SPH-like equations under an energy-based framework and applying a corrected (high-order) or coupled particle approximation scheme for function derivatives. By doing so, we ensure that the enhanced variants retain the conservative nature of SPH which is important for the stability of long-term simulations. Among various corrected approximations, we here implement the one obtained by the so-called finite particle method (FPM) within the framework to produce a higher-order SPH method which conserves both linear and angular momentums. In order to improve the efficiency of the higher-order variant, a coupled approach with the idea of using the SPH approximation for the interior particles and the FPM approximation for the exterior particles is also proposed and tested in this paper. Three prototype tests concerning free deformation of a viscous fluid patch with free surface are presented with comparisons between different methods to demonstrate the performance of the two proposed methods. Numerical results show that both the higher-order version using FPM and the coupled version using FPM/SPH outperform the original version of SPH in respect of accuracy and stability.