A dynamical pseudo-spectral domain decomposition technique: application to viscous compressible flows

摘要

A dynamical spectral domain decomposition method is pre- sented. In each subdomain a transformation of coordinate is used. Both the locations of the interfaces and the parameters of the map- Pings are dynamically adapted by minimizing the H~2_ω-norm of the Calculated solution. We show on some functions that the total norm Of the Chebyshev series depends on the location of the interfaces. Moreover, there exists a minimum that defines the best location of The interface. This defines a dynamical generation of Chebyshev Collocation points.