Simulation of viscous flows with undulatory boundaries. Part I: Basic solver

• Published in: Journal of computational physics Vol. 230; no. 14; pp. 5488 - 5509
• Main Authors: Yang, Di, Shen, Lian
• Format: Journal Article
• Language: English
• Published: Kidlington Elsevier Inc 20.06.2011; Elsevier
• Subjects: Boundaries; Computational techniques; Computer simulation; Exact sciences and technology; Fluid flow; Free-surface flow; Mathematical analysis; Mathematical methods in physics; Navier-Stokes equations; Physics; Surface waves; Turbulence; Turbulent flow; Wave; Wavy wall; Wave; Turbulence; Wavy wall; Free-surface flow; Digital simulation; Boundary conditions; Numerical method; Free surface; Experimental study; Calculation methods; Surface waves; Dynamics; Vortices; Kinematics; Free surface flow; Calculation; Performance; Viscous flow; Navier-Stokes equations; Finite difference method

A numerical method for the simulation of viscous flows with undulatory walls and free surfaces is presented. The simulation domain is discretized by a boundary-fitted and time-dependent grid. The Navier–Stokes equations, subject to fully nonlinear kinematic and dynamic boundary conditions at the fre...