Marching with the Parabolized Navier-Stokes Equations. Problem 1: Numerical Studyof Hypersonic Viscous Cone Flow

摘要

A general noniterative, three dimensional parabolized Navier-Stokes code wasdeveloped to predict the steady viscous flow field about objects traveling at high supersonic/hypersonic speeds. The equations are solved with an implicit approximate factorization finite difference scheme which is second order accurate in the cross flow directions. An implicit boundary condition was used which was compatible with the finite difference schemes used on the interior mesh. The grid used is generated by a simple algebraic method. Vigneron's technique was used to suppress the departure solution. The code is applied to laminar hypersonic flow, M(sub infinity) = 9.16, Re(sub infinity) = 5.5 times 10 to the 7th power/m, past a slender cone to 7 degree half angle and the computed shock shape, surface pressure, skin friction, and Stanton number are presented for comparison with experimental results.