A Novel Method for Modeling Neumann and Robin Boundary Conditions in Smoothed Particle Hydrodynamics
In this paper we present an improved method for handling Neumann or Robin boundary conditions in smoothed particle hydrodynamics. The Neumann and Robin boundary conditions are common to many physical problems (such as heat/mass transfer), and can prove challenging to model in volumetric modeling techniques such as smoothed particle hydrodynamics (SPH). A new SPH method for diffusion type equations subject to Neumann or Robin boundary conditions is proposed. The new method is based on the continuum surface force model [1] and allows an efficient implementation of the Neumann and Robin boundary conditions in the SPH method for geometrically complex boundaries. The paper discusses the details of the method and the criteria needed to apply the model. The model is used to simulate diffusion and surface reactions and its accuracy is demonstrated through test cases for boundary conditions describing different surface reactions.
- Research Organization:
- Pacific Northwest National Lab. (PNNL), Richland, WA (United States)
- Sponsoring Organization:
- USDOE
- DOE Contract Number:
- AC05-76RL01830
- OSTI ID:
- 1000607
- Report Number(s):
- PNNL-SA-67242; SJOCE3; AA2530000; TRN: US201101%%339
- Journal Information:
- SIAM Journal on Scientific Computing, 181(12):2008-2023, Vol. 181, Issue 12; ISSN 1064-8275
- Country of Publication:
- United States
- Language:
- English
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