Advances in Engineering Research. Volume 32 opens by describing a general strategy for building Markov chain models and performing computational analysis of characteristics of the process, as well as showing a few examples of applying this approach to modeling mixing, grinding, fluidized bed, etc. Next, the configurations of gas channels and gas diffusion layers influences on the performance of polymer electrolyte membrane fuel cells are investigated. Additionally, a numerical method and an experimental method are realized to predict aeroelastic response and characteristic parameters of wing structure. The numerical method is based on coupled algorithms between computational fluid dynamics and computational structural dynamics. A Lagrangian expression based on the state equation of a class of nonlinear system is proposed to develop the corresponding functional. From this, a control law is developed, and by employing the classical Euler-Lagrange approach, the operation of the system was led to a critical point with success. Following this, a roadmap is presented to directly transition from cutting edge experimental and in-situ geospatial data-collection technology to a predictive computational model for volcanic lahars. The soil-pile-structure interaction plays an important role in assessing the vibrations internally generated within structures due to dynamic loads that could bring significant impacts on the structural behavior. As such, the effects of forces on the seismic response of three tall and massive building cases are investigated. In conclusion, research is presented on the joint effect of silica fume and nanosilica on the fresh and hardened properties of natural hydraulic lime-based grouts for mechanical strengthening of old stone masonry walls.