Book
Higher Approximations in Aerodynamic Theory
Higher Approximations in Aerodynamic Theory by M. J. Lighthill develops advanced mathematical techniques for extending classical aerodynamic approximations beyond linearized theory. The work focuses on improving predictive accuracy for flows involving nonlinear effects, particularly in compressible and high-speed regimes. Lighthill introduces higher-order corrections, asymptotic expansions, and refined perturbation methods that bridge the gap between simple linear models and fully nonlinear flow behavior. These approximations enable more accurate descriptions of shock waves, lift and drag characteristics, and wave propagation in transonic and supersonic flows. By combining rigorous mathematical analysis with physical insight, the paper establishes a foundational framework for modern high-accuracy aerodynamic modeling and continues to influence contemporary research in theoretical aerodynamics.
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