Exploring transition by computer. (English) Zbl 0713.76054
Summary: Numerical simulation of transition is still a challenge to supercomputers and is feasible only under restricting assumptions, e.g. of streamwise and spanwise periodicity, temporal growth, and special initial conditions. The choice of these assumptions is guided by intuition, experiment, and theory. While intuition may fail and the small experimental database is almost stagnant, the role of the theory has increased and its interaction with numerical simulations has shown to be very prolific. Nowadays the theory of a phenomenon as complex as transition has many components; only one of these is the analytical component in the classical sense. Otherwise, theory shares the challenge of computers for symbolic manipulation of formal models of transition, for numerically solving linear and nonlinear systems of algebraic or differential equations, and for computer graphics to reveal the secrets concealed in the numerical solutions. We describe a variety of applications of symbolic, analytical, and graphical means in the theoretical studies of transition together with related numerical simulations. The goal of this effort is to evaluate the various tools and to demonstrate the power of their combined application.
MSC:
| 76F10 | Shear flows and turbulence |
Keywords:
laminar-turbulent transition; shear flows; Numerical simulation of transition; supercomputersReferences:
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