Hermite Methods for Hyperbolic-parabolic Systems
نویسندگان
چکیده
Talk Abstract We describe the application of arbitrary-order Hermite methods to hyperbolic-parabolic systems, including parabolic systems as a special case, emphasizing situations where the parabolic terms are small (e.g. large Reynolds or Peclet numbers). Using Fourier methods, we study the dispersion relation for the semidiscretized problem, leading to an understanding of time-step stability limits as well as the balance between dispersion and dissipation. In addition we discuss the implementation of boundary conditions at artificial boundaries and at the termination of damping layers in the context of Hermite schemes. Lastly, we show examples of the application of Hermite methods to the simulation of compressible flows.
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