Adaptive resolution for multiphase smoothed particle hydrodynamics

Abstract

The smoothed particle hydrodynamics (SPH) method has been increasingly used to study fluid problems in recent years; but its computational cost can be high if high resolution is required. In this study, an adaptive resolution method based on SPH is developed for multiphase flow simulation. The numerical SPH particles are refined or coarsened as needed, depending on the distance to the interface. In developing the criteria, reference particle spacing is defined for each particle, and it changes dynamically with the location of the interface. A variable smoothing length is used together with adaptive resolution. An improved algorithm for calculating the variable smoothing length is further developed to reduce numerical errors. The proposed adaptive resolution method is validated by five examples involving liquid drops impact on dry or wet surfaces, water entry of a cylinder and dam break flow, with the consideration of ambient gas. Different resolution levels are used in the simulations. Numerical validations have proven that the present adaptive resolution method can accurately capture the dynamics of liquid-gas interface with low computational costs. The present adaptive method can be incorporated into other SPH-based methods for efficient fluid dynamics simulation.

arXiv comment23 figures

References in corpus (3)

• Smoothed Particle Hydrodynamics with particle splitting, applied to self-gravitating collapse
• Variable Smoothing Lengths and Energy Conservation in Smoothed Particle Hydrodynamics
• A smoothed particle hydrodynamics method for evaporating multiphase flows

Cited by in corpus (7)

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• Robust Solid Boundary Treatment for Compressible Smoothed Particle Hydrodynamics
• Adaptive Compressible Smoothed Particle Hydrodynamics
• Rapid Variable Resolution Particle Initialization for Complex Geometries
• Parallel adaptive weakly-compressible SPH for complex moving geometries
• Generalized smoothed particle hydrodynamics with overset methods in total Lagrangian formulations