Improvements in spectral collocation discretization through a multiple domain technique
Applied Numerical Mathematics
Fronts, relaxation oscillations, and period doubling in solid fuel combustion
Journal of Computational Physics
On the use of spectral methods for the numerical solution of stiff problems
Computer Methods in Applied Mechanics and Engineering
Journal of Computational Physics
| Hi-index | 0.00 |
An auto-adaptive multidomain pseudo-spectral technique is considered in order to solve the linear stability problem of viscous compressible flows. Both the locations of the interfaces and the parameters of the mappings in each subdomain are adapted by minimizing the H2ω-norm of the calculated solution. Such method provides automatically—this is the key point—the best polynomial interpolation of the basic state the stability of which is studied. It turns out that the whole procedure is needed to obtain reliable results. The method is first validated against results available in the literature (both viscous incompressible and inviscid compressible Rayleigh–Taylor configurations). The efficiency of the numerical method is illustrated with results on the linear stability of the compressible viscous diffusive Rayleigh–Taylor flow where no analytical or numerical results are available. New results showing the influence of stratification, viscosity, diffusity between species and thermal diffusivity are presented.