Dual-Time Smoothed Particle Hydrodynamics for Incompressible Fluid Simulation

@article{Ramachandran2019DualTimeSP,
  title={Dual-Time Smoothed Particle Hydrodynamics for Incompressible Fluid Simulation},
  author={Prabhu Ramachandran and Abhinav Muta and Ramakrishna Mokkapati},
  journal={arXiv: Computational Physics},
  year={2019}
}
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A simple, robust, and general purpose approach to implement the Incompressible Smoothed Particle Hydrodynamics (ISPH) method, which is matrix-free and uses an iterative formulation to setup and solve the pressure Poisson equation.

References

SHOWING 1-10 OF 45 REFERENCES
Density-based smoothed particle hydrodynamics methods for incompressible flows
Dual-criteria time stepping for weakly compressible smoothed particle hydrodynamics
Implicit Incompressible SPH
We propose a novel formulation of the projection method for Smoothed Particle Hydrodynamics (SPH). We combine a symmetric SPH pressure force and an SPH discretization of the continuity equation to
Predictive-corrective incompressible SPH
TLDR
This work presents a novel, incompressible fluid simulation method based on the Lagrangian Smoothed Particle Hydrodynamics model that clearly outperforms the commonly used weakly compressible SPH (WCSPH) model by more than an order of magnitude while the computations are in good agreement with the WCSPH results.
A transport-velocity formulation for smoothed particle hydrodynamics
An incompressible multi-phase SPH method
Simulating Free Surface Flows with SPH
The SPH (smoothed particle hydrodynamics) method is extended to deal with free surface incompressible flows. The method is easy to use, and examples will be given of its application to a breaking
A generalized wall boundary condition for smoothed particle hydrodynamics
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