To simulate and analyze a large aircraftwith severewind shear, nonlinear equations for a rigid aircraft under variouswind conditions\nwere designed. In this paper, a double-vortex-ring method is adopted to generate a three-dimensional microburst wind field.\nThis model incorporates a flight dynamics module and three flight simulations based on various forms of nonlinear equations.\nIn addition, four primary wind gradients are considered to compute the aerodynamic coefficients. In simulation experiments with\na China C series large aircraft, equations using air-relative velocities and inertial velocities are compared and analyzed. Although the\nnonlinear equations derived using the air-relative velocities should be identical to those using the inertial velocities, the results show\nthat the latter are more accurate in practice because the former bring error into the simulation when estimating the acceleration\ninduced by the wind field.
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