A generalized smoothed particle hydrodynamics method for nonlinear dynamic problems Original Research Article

A generalized smoothed particle hydrodynamics (SPH) method was developed for the numerical simulation of nonlinear dynamic problems. The performance of the proposed method was demonstrated by solving Burgers’ equations over a wide range of the viscosity parameters in one and two space dimensions. It was shown that the present results agree very well with other existing solutions. As compared to other meshless methods, this algorithm is quite straightforward and simple and can be coded easily.