A novel method for modeling Neumann and Robin boundary conditions in smoothed particle hydrodynamics

• Published in: Computer physics communications Vol. 181; no. 12; pp. 2008 - 2023
• Main Authors: Ryan, Emily M., Tartakovsky, Alexandre M., Amon, Cristina
• Format: Journal Article
• Language: English
• Published: United States Elsevier B.V 01.12.2010
• Subjects: Boundaries; BOUNDARY CONDITIONS; Computational fluid dynamics; Computer simulation; COMPUTERIZED SIMULATION; DIFFUSION; Fluid flow; Flux; HYDRODYNAMICS; Mathematical analysis; MATHEMATICAL METHODS AND COMPUTING; Mathematical models; PARTICLES; Reactive transport; Smoothed particle hydrodynamics; SPH, reactive transport, flux, boundary conditions, computational modeling; SURFACE FORCES; SURFACE PROPERTIES; Surface reactions; Flux; Smoothed particle hydrodynamics; Boundary conditions; Reactive transport; Surface reactions

We present a novel smoothed particle hydrodynamics (SPH) method for diffusion equations subject to Neumann and Robin boundary conditions. The Neumann and Robin boundary conditions are common to many physical problems (such as heat/mass transfer), and can prove challenging to implement in numerical m...