We present simulated plane-of-sky maps of the shock waves in interplanetary space from several representative solar events by using the Hakamada-Akasofu-Fry solar wind model (HAFv.2). This kinematic model uses a three-dimensional approach to construct plane-of-sky maps of interplanetary shock waves initiated by solar flares and CMEs. The simulated plane-of-sky maps are in a form that can be directly compared with assimilated optical observations of shock waves from Earth-orbiting and interplanetary satellites. Combining these simulations with observations would provide a new tool for monitoring the propagation of interplanetary shocks in interplanetary space and for predicting the arrival of shock waves at Earth.