Application of B-splines and curved geometries to boundaries in SPH
File(s)NURBS paper.pdf (6.29 MB)
Accepted version
Author(s)
Barker, DJ
Brito-Parada, P
Neethling, SJ
Type
Journal Article
Abstract
Smoothed particle hydrodynamics (SPH) has been increasing in popularity rapidly in recent years and is being used for an ever wider range of applications. Central to almost all of these application is the inclusion of accurate wall boundaries. We present here a discussion of boundaries in SPH, in particular, focusing on reflected ghost-particle boundaries. We show how one can include curved shapes as geometrical objects and more generally as parametric non-uniform rational B-spline (NURBS) curves. By properly considering the reflection operation, we derive a correction factor that demonstrably improves the accuracy of the SPH solution and present examples to confirm this. NURBS are standard for representing both 2D curves and 3D surfaces. We detail how they can be practically included in an SPH implementation, including how to calculate various required quantities and reflect particles in the NURBS object.
Date Issued
2014-08-06
Date Acceptance
2014-05-20
Citation
International Journal for Numerical Methods in Fluids, 2014, 76 (1), pp.51-68
ISSN
1097-0363
Publisher
Wiley
Start Page
51
End Page
68
Journal / Book Title
International Journal for Numerical Methods in Fluids
Volume
76
Issue
1
Copyright Statement
This is the peer reviewed version of the following article: Barker Daniel J., Brito-Parada Pablo and Neethling Stephen J (2014), Application of B-splines and curved geometries to boundaries in SPH, International Journal for Numerical Methods in Fluids, 76, pages 51–68, which has been published in final form at https://dx.doi.org/10.1002/fld.3925. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
Subjects
Science & Technology
Technology
Physical Sciences
Computer Science, Interdisciplinary Applications
Mathematics, Interdisciplinary Applications
Mechanics
Physics, Fluids & Plasmas
Computer Science
Mathematics
Physics
COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS
MECHANICS
PHYSICS, FLUIDS & PLASMAS
smoothed particle hydrodynamics
B-Splines
wall boundaries
fluid dynamics
particle methods
Lagrangian
SMOOTHED PARTICLE HYDRODYNAMICS
FLOWS
Publication Status
Published