Spectral solution of the viscous blunt-body problem. (English) Zbl 0781.76067
Summary: The viscous blunt-body problem is solved with a shock-fitted Chebyshev spectral method. No explicit artificial viscosity or filtering is needed to obtain smooth, converged solutions. The method is applied to two problems. First, results for the flow over a right circular cylinder in the Mach number range of 5.5-6.0 are compared with experimental data. Second, a solution for a Mach 25 flow over a hyperbolic cone is compared with a viscous shock-layer calculation.
MSC:
76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
76K05 | Hypersonic flows |
65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |