Pitfalls of flow simulation(reconsidering solid boundaries)

The Navier-Stokes equations, as the fundamental equations for flows, have been well studied theoretically, numerically and experimentally. However, there are many cases where the boundary conditions for determining the concrete solutions have not been fully discussed. Although it is known that the treatment of boundary conditions affects the accuracy of the solution and the computational stability, especially in numerical analysis, it seems that the discussion is often limited to ad-hoc issues, as it is considered a problem of individual discretization methods or algorithms. In this paper, referring to solutions of immersed-boundary Navier-Stokes, we reconsider the mathematical model of the wall boundary with curvature, the grid generation in the numerical solution and the treatment of the wall boundary.