Consiglio Nazionale delle Ricerche Istituto di Matematica

نویسندگان

  • Gianmarco Manzini
  • Enrico Bertolazzi
چکیده

In this paper we continue the study of the Diagonally IMplicit-EXplicit Runge-Kutta (DIMEX-RK) methods that we proposed in the first part of this work in the framework of Finite Volume methods for unstructured grids. These new numerical approximation schemes are based on a special splitting of the physical and numerical flux vector functions into a convective and a non-convective part. In the framework of DIMEX-RK schemes, the convective part is discretized in an implicit way, while we discuss the non-convective one in an explicit way. We discuss some theoretical properties of the non-linear algebraic evolution operators that are derived in the full discretization from the application of these methods to strongly convected dominated flows. A set of numerical experiments illustrates the behavior of this class of methods on reactive and non-reactive hypersonic simulations.

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تاریخ انتشار 2004