Dynamical pressure boundary condition for weakly-compressible smoothed particle hydrodynamics
arXiv:2403.09485 · doi:10.1063/5.0254575
Abstract
This paper introduces a novel dynamical pressure boundary condition for weakly-compressible smoothed particle hydrodynamics (WCSPH). Unlike previous methods that rely on indirect approaches or ghost particles, our method integrates the dynamical boundary pressure directly into the SPH approximation of the pressure gradient on near-boundary particles. Additionally, we develop a meshfree bidirectional in-/outflow buffer by periodically relabelling buffer particles at each time step, a concept that has not been explored before. This simple yet effective buffer facilitates the simulation of both uni- and bidirectional flows, especially those with mixed in-/outflow boundary conditions. We validate the accuracy and convergence of our method through benchmark cases with available analytical solutions. Furthermore, we demonstrate its versatility in hemodynamic simulations by investigating generic carotid and aorta flows with the Windkessel model, paving the way for studying the cardiovascular system within a unified meshfree computational framework.
arXiv comment40 pages and 15 figures
References in corpus (6)
- SPHinXsys: an open-source multi-physics and multi-resolution library based on smoothed particle hydrodynamics
- Dual-criteria time stepping for weakly compressible smoothed particle hydrodynamics
- An improved non-reflecting outlet boundary condition for weakly-compressible SPH
- A Lagrangian free-stream boundary condition for weakly compressible smoothed particle hydrodynamics
- Techniques for second order convergent weakly-compressible smoothed particle hydrodynamics schemes without boundaries
- How to train your solver: Verification of boundary conditions for smoothed particle hydrodynamics