Wall model‐based diffuse‐interface immersed boundary method for simulation of incompressible turbulent flows

Abstract

AbstractIn this work, a method is proposed to simulate the high Reynolds number turbulent flows by combining the diffuse‐interface immersed boundary method (IBM) with different wall models. In this method, two auxiliary layers (a series of Lagrangian points) are set outside the wall: the reference layer and the enforced layer. The wall model is applied at the reference layer to calculate the wall shear stress and the boundary condition is implemented at the enforced layer. When implementing the boundary condition, the implicit velocity correction‐based IBM is used. This process requires the velocity at the enforced layer. To calculate the velocity at the enforced layer, the momentum equation is integrated along the normal direction of the wall to link the tangential component of the velocity to the wall shear stress predicted by the wall models, and the normal component of the velocity is approximately reconstructed by the parabolic distribution. In addition, the Reichardt's law combined with Spalding's formula is utilized to determine the integral length. Numerical experiments for the turbulent flows around the flat plate, the NACA0012 airfoil and the NACA23012 airfoil are carried out to verify the feasibility of this method.