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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.