A noniterative finite difference method for the compressible unsteady laminar boundary layer

An investigation involving the determination of the friction drag and the rate of heat transfer at the surface of a body in dynamic motion must take into account details regarding the unsteady viscous flow. Difficulties concerning such an investigation are related to interaction effects due to aspects of increased dimensionality, nonlinearity, and compressibility. In the present study, the nonlinearity is eliminated by making use of approaches considered by Beam and Warming (1978) and Orlandi and Ferziger (1981). These approaches involve the employment of a technique of linearizing the general nonlinear implicit finite difference equations without sacrificing accuracy. A noniterative numerical formulation is developed to solve the unsteady compressible laminar boundary layer equations efficiently.