Globally convergent algorithms for nonsmooth nonlinear equations in computational fluid dynamics

Authors:
T. Coffey;R. J. McMullan;C. T. Kelley;D. S. McRae
Affiliations:
Center for Research in Scientific Computation, North Carolina State University, Box 8205, Raleigh, NC and Department of Mathematics, North Carolina State University, Center for Research in Scienti ...;Department of Mechanical and Aerospace Engineering, North Carolina State University, Box 7910, Raleigh, NC;Center for Research in Scientific Computation, North Carolina State University, Box 8205, Raleigh, NC and Department of Mathematics, North Carolina State University, Center for Research in Scienti ...;Department of Mechanical and Aerospace Engineering, North Carolina State University, Box 7910, Raleigh, NC
Venue:
Journal of Computational and Applied Mathematics - Proceedings of the international conference on recent advances in computational mathematics
Year:
2003

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Abstract

In this paper we report on a computational study in which a nonsmooth discretization of the Euler equations for flow in a nozzle is solved with splitting method which is in turn globalized with the method of pseudo-transient continuation.