Advances in computational methods for boundary and interior layers; International Short Course, Trinity College, Dublin, Ireland, June 18, 19, 1984, Lecture Notes

The status of numerical methods for boundary layer calculations is reviewed. Among the methods discussed are: finite difference schemes; nonlinear stability analysis methods; and second-order splitting-up schemes. Consideration is also given to a number of boundary layer applications, including viscous interacting flows; singularly perturbed boundary value problems; convection-diffusion processes; and nonlinear diffusion. Some additional topics discussed include: the asymptotic features of low Mach number flows in aerodynamics and in the atmosphere; a method for calculating degeneracies in a system of multiparameter equations; and the Dorodnitzyn boundary layer formulation.