Modeling low Reynolds number incompressible flows using SPH
Journal of Computational Physics
Smoothed particles: a new paradigm for animating highly deformable bodies
Proceedings of the Eurographics workshop on Computer animation and simulation '96
Journal of Computational Physics
Particle-based fluid simulation for interactive applications
Proceedings of the 2003 ACM SIGGRAPH/Eurographics symposium on Computer animation
Numerical simulation of interfacial flows by smoothed particle hydrodynamics
Journal of Computational Physics
Interactive blood simulation for virtual surgery based on smoothed particle hydrodynamics
Technology and Health Care
A unified particle model for fluid–solid interactions: Research Articles
Computer Animation and Virtual Worlds
Numerical simulation of fluid-structure interaction by SPH
Computers and Structures
Two-Way Coupled SPH and Particle Level Set Fluid Simulation
IEEE Transactions on Visualization and Computer Graphics
Journal of Computational Physics
Journal of Computational Physics
Hi-index | 0.09 |
Smoothed particle hydrodynamics (SPH) is a relatively young meshless particle method used in fluid simulation. The method has not yet reached a mature state and still is in the need of rigorous evaluation tests that contribute to its consolidation as a reliable numerical method. With this need in mind, the first portion of this article is dedicated to presenting a new set of validation tests. The tests consist of different types of planar Taylor-Couette flows which will be equipped with their corresponding Navier-Stokes equations' analytical solutions. Analytical solutions have been found for compressible and weakly-compressible (WC) regimes. The second part of this article is dedicated to using the obtained solutions as evaluation tests of a WC-SPH variant based on the divergence form of the Navier-Stokes equations and on the simultaneous use of different kernels. The proposed variant is compared to other previous WC-SPH variants commonly used in the literature. Velocities as well as pressure profiles can be compared with the provided analytical solutions. The performed numerical experiments show that, although all the tested WC-SPH variants match quite correctly the theoretical velocity profile, the previous variants present highly noisy pressure profiles or even give erroneous pressure solutions. Among the evaluated WC-SPH formulations, the proposed variant does a better job in matching, both, velocity profiles and pressure profiles with much lower levels of noise.