SIMULATION OF SOLITARY WAVES CAUSED BY PADDLE WAVE-MAKER USING MODIFIED MOVING PARTICLE SEMI IMPLICIT METHOD

Numerical methods may be classified into two generally mesh based methods and particle methods. Utilizing MPS method , originally developed by Koshizuka and Oka [1], similar to other mesh-free methods, problem of mesh adaptability and connectivity eliminated; because in this methods, the state of a system is represented by a set of discrete particles, without a fixed connectivity [2]; hence, such methods are inherently well suited for the analysis of large deformations and fragmentations. The original form of MPS method suffers from spurious oscillations in pressure and density fields. Therefore, different modifications are suggested to improve the computational pressure fields [2-8]. In this study a modified incompressible MPS method is used to simulate a solitary wave rushing inland and collapse near the shoreline. Proposed MPS method utilizes one row of wall boundary condition (no dummy/ ghost particle defined in wall boundary condition). Moreover, proposed Poisson equation of pressure is very similar to original one and is similar to the second term of PPE defined in [6] except in the dominator of the equation. This matter proves our suggested method. Actually our method may be consider as a special case of PPE in [6].