In present study, the interaction between internal solitary waves (ISWs)and a uniform slope is numerically studied based on the movingparticles semi-implicit (MPS) method. Aiming at the stratified flows, amultiphase MPS method is firstly developed on the basis of the originalsingle-phase MPS method, by introducing a series of special interfacetreatments. These treatments include the density smoothing scheme,inter-particle viscosity model and surface tension model. Then, themultiphase MPS method is validated through the numerical simulationof the ISWs generation and propagation. The results obtained bypresent method achieve good agreement with the experimental data andother numerical methods on the interfacial displacements and waveprofiles. Moreover, the calculated pressure and velocity fields aresmooth and reflect the actual physical features. Finally, the multiphaseMPS method is applied to investigate the ISWs interaction with thesubmarine slopes with different inclinations, and a qualitativelyanalysis of the different breaking mechanisms is performed.
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