@article{1e3861789a3240d792a8ed7960b534ef,
title = "A generalized wall boundary condition for smoothed particle hydrodynamics",
abstract = "In this paper we present a new formulation of the boundary condition at static and moving solid walls in SPH simulations. Our general approach is both applicable to two and three dimensions and is very simple compared to previous wall boundary formulations. Based on a local force balance between wall and fluid particles we apply a pressure boundary condition on the solid particles to prevent wall penetration. This method can handle sharp corners and complex geometries as is demonstrated with several examples. A validation shows that we recover hydrostatic equilibrium conditions in a static tank, and a comparison of the classical dam break simulation with state-of-the-art results in literature shows good agreement. We simulate various problems such as the flow around a cylinder and the backward facing step at Re=100 to demonstrate the general applicability of this new method.",
keywords = "Boundary condition, SPH, Solid walls",
author = "S. Adami and Hu, {X. Y.} and Adams, {N. A.}",
note = "Funding Information: The authors wish to acknowledge the shared funding of this work by the TUM Graduate School (Technische Universit{\"a}t M{\"u}nchen) and the German Research Foundation (DFG - Deutsche Forschungsgesellschaft) within the project AD 186/6–1. Computational resources have been provided by the LRZ (Leibniz - Rechenzentrum, computer center for Munich{\textquoteright}s universities) under Grant pr32ma . We acknowledge the work of Sbalzarini et al. [37] who provided the Parallel Particle Mesh (PPM) Library that we used to implement our model and enables us to perform large-scale simulations on parallel computer architectures. We also gratefully thank Daniel Price (School of Mathematical Sciences, Monash University, Australia) for his introduction and support with Splash [38] which was used to produce most of the figures in this paper and John Biddiscombe (CSCS, Swiss National Supercomputing Centre, Switzerland) for his help with pv-meshless [39] . Last but not least, sincere thanks go to the reviewers of this paper who ensured that our method is well described.",
year = "2012",
month = aug,
day = "30",
doi = "10.1016/j.jcp.2012.05.005",
language = "English",
volume = "231",
pages = "7057--7075",
journal = "Journal of Computational Physics",
issn = "0021-9991",
publisher = "Academic Press Inc.",
number = "21",
}