Computer Visualization of hemodynamics in Left Ventricle (LV) is of great significance in treating patients with dilated cardiomyopathy. Numerical simulations that enable such graphical visualization are computationally very intensive. So in the current study we propose to discuss details of the parallel computation of LV flow dynamics on distributed memory based vector parallel processing system (VPP700) under UXP/VPPF90. Speedup and efficiency factors obtained by the present parallel computational strategy will be presented. Results pertaining to the parallel solution to steady flow dynamics in LV model will also be presented.