  The present paper introduces stochastic velocity as improvement for moving
particle semi-implicit (MPS) method. This improvement is to overcome energy
loss caused by numerical dissipation in the basic MPS that brings about rapid
decay of waves. Stochastic velocity is added in the explicit step of the basic
MPS method. MPS with stochastic improvement is compared with the basic method
in the case of linear water waves, in particular dam break problem and standing
wave in a rectangular tank. Surface detection and curve fitting are used to
analyze the parameters of wave on the standing wave case. The surface detection
and curved fitting was efficient to determine parameters of the wave and it was
found that the stochastic improvement made the waves survived longer than in
the basis method.
