NOVELTY - The method involves separating a portion of particle laden slurry by a separator. Clean fluid is forced into an accumulator cavity (3), and a void created by the suction stroke of a positive displacement pump. Particle fluid is permitted to travel through a check valve. The check valve with the clean fluid is flushed from the accumulator cavity or void such that a valve seat is free of particles after flushing, where the check valve includes the valve seat capable of seating against another surface to impede flow of material through the check valve.    USE - Method for separating and pumping abrasive or solid particle laden slurry or fluid mixture at high pressure by using triplex/positive displacement pumps e.g. piston pumps and plunger pumps, for high pressure applications e.g. abrasive cutting application and hydraulic fracturing operation applications.    ADVANTAGE - The method enables proper check valve sealing so as to extend the life of check valves and the pump, thus improving efficiency. The method enables the discharge check valve to be free of solid particles during closing, thus avoiding the potential erosion of the discharge check valve, and hence increasing efficiency of the positive displacement pump. The method enables abrasive to be pumped directly through a plunger pump at high pressure without requiring a costly pressure vessel.    DETAILED DESCRIPTION - The separator is selected from a group consisting of hydrocyclone separator, fluidly connected spiral flow separator, helix separator, centrifugation separator, multi-stage separator, tubular fluid separator, filter screen separator and rotating separator. An INDEPENDENT CLAIM is also included for an apparatus for separating and pumping particle laden slurry.    DESCRIPTION OF DRAWING(S) - The drawing shows an exploded cross sectional view of a method for separating and pumping particle laden slurry.    Actuated piston (2)    Accumulator cavity (3)    Particle laden slurry intake (4)    Orifice (5)    Intake separator (6)