2021 Volume 2021 Pages 20210017
This paper proposes a bottom boundary-fitted moving particle semi-implicit/simulation (MPS) method in transformed space for viscous flow problems. The proposed method contains a novel mixed partial derivative model to represent the viscosity term. The mixed partial derivative model is introduced by a novel comprehensive derivation of the differential operator models of the MPS method. The verification of the proposed method is conducted by the numerical convergence of mixed partial derivative and Laplacian in curvilinear space. Moreover, accurate numerical results of the proposed method are confirmed in a hydrostatic pressure problem with a curve bottom boundary. Its applicability to dynamic problems is demonstrated by solving a wave propagation over a triangular bottom sill.
