Smoothed particle hydrodynamics continuous boundary force method for Navier–Stokes equations subject to a Robin boundary condition

• Published in: Journal of computational physics Vol. 259; pp. 242 - 259
• Main Authors: Pan, Wenxiao, Bao, Jie, Tartakovsky, Alexandre M.
• Format: Journal Article
• Language: English
• Published: Elsevier Inc 15.02.2014
• Subjects: Boundaries; Boundary conditions; Computational fluid dynamics; Fluid flow; Mathematical analysis; Mathematical models; Navier-Stokes equations; No-slip boundary condition; Robin boundary condition; Slip; Slip boundary condition; Smoothed particle hydrodynamics; Robin boundary condition; Smoothed particle hydrodynamics; Navier–Stokes equations; No-slip boundary condition; Slip boundary condition

A 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 the Robin boundary condition. In the CBF method, the Robin boundary...