Multidisciplinary and multiphysics computation of supersonic flow, via hybrid solutions for compressible navier-stokes layer

Abstract

The author proposes hybrid meshless numerical solutions for the computation of the three-dimensional compressible full partial-differential equations (PDEs) of the Navier- Stokes layer (NSL) over flying configurations (FCs) and for the performing of the aerodynamical global optimal design of their shapes. These hybrid solutions have important analytical properties and the derivatives of the velocity's components can be exactly computed. By using a logarithmic density and by applying of the collocation method, a splitting of the NSL's PDEs occurs and all the physical entities are expressed only as functions of the spectral coefficients of the velocity's components, which are obtained by iterative solving of the impulse PDEs. The viscous-inviscid interaction does not need interface and a weak interaction aerodynamics-structure is proposed.