A novel approach for wall-boundary immersed flow simulation (part 2: modeling of wall shear stress)

Abstract

This study proposes a novel approach for the wall-boundary immersed flow simulation, wherein the Navier-Stokes equation is modified to include a level-set definition of a solid body in fluid flow by an approach of viscosity solution of thickened interface. Following to the previous work for slip wall condition (Oshima, 2023a), a model of wall shear stress on no-slip condition is additionally proposed. One-, Two- and Three-dimensional simulations validate accuracy and applicability of wall model for theoretical and practical application.

Keywords

• flow simulation
• immersed no-slip wall-boundary
• modified navier-stokes equation
• level-set approach
• viscosity solution of thickened interface