Abstract:
The paper gives an overview of developments of the SPH method. Especial
attention is given to the main shortcomings of the original form of the method
namely consistency, tensile instability and zero energy modes. An example of
derivation of correction necessary to assure first order consistency is given.
The origin of the tensile instability and few proposed solutions to this problem
are described. Similar consideration is given with respect to the zero energy
modes typical for the collocational SPH method.
