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This paper presents a computational investigation of the effect of ambient conditions (temperature and relative humidity) on the performance of a polymer electrolyte membrane (PEM) fuel cell stack with an open-cathode manifold. It uses the annual climate data of Abu Dhabi as a case study. The objective is to develop a better fundamental understanding of the fuel cell's performance in the hot arid environment. Such an understanding will be beneficial in improving the fuel cell design for mobile applications. The mathematical model used in this study comprises of three components: the fuel cell stack, the fan and the ambient. The model considers two-phase flow and conservation of mass, momentum, species and energy in the ambient and PEM fuel cell stack, as well as conservation of charge and a phenomenological membrane and agglomerate model for the PEM stack.