Smoothed Particle Hydrodynamics Continuous Boundary Force method for Navier-Stokes equations subject to Robin boundary condition

Journal Article · Sat Feb 15 04:00:00 EST 2014 · Journal of Computational Physics, 259:242-259

DOI:https://doi.org/10.1016/j.jcp.2013.12.014· OSTI ID:1129339

Pan, Wenxiao; Bao, Jie; Tartakovsky, Alexandre M.

Robin boundary condition for the Navier-Stokes equations is used to model slip conditions at the fluid-solid boundaries. A novel Continuous Boundary Force (CBF) method is proposed for solving the Navier-Stokes equations subject to Robin boundary condition. In the CBF method, the Robin boundary condition at boundary is replaced by the homogeneous Neumann boundary condition at the boundary and a volumetric force term added to the momentum conservation equation. Smoothed Particle Hydrodynamics (SPH) method is used to solve the resulting Navier-Stokes equations. We present solutions for two-dimensional and three-dimensional flows in domains bounded by flat and curved boundaries subject to various forms of the Robin boundary condition. The numerical accuracy and convergence are examined through comparison of the SPH-CBF results with the solutions of finite difference or finite element method. Taken the no-slip boundary condition as a special case of slip boundary condition, we demonstrate that the SPH-CBF method describes accurately both no-slip and slip conditions.

• Research Organization: Pacific Northwest National Laboratory (PNNL), Richland, WA (US)
• Sponsoring Organization: USDOE
• DOE Contract Number: AC05-76RL01830
• OSTI ID: 1129339
• Report Number(s): PNNL-SA-97729; KJ0401000
• Journal Information: Journal of Computational Physics, 259:242-259, Journal Name: Journal of Computational Physics, 259:242-259
• Country of Publication: United States
• Language: English