The Computation of Transonic Flow Through Two-Dimensional Gas Turbine Cascades

Abstract

Steady transonic flow through two-dimensional gas turbine cascades is efficiently predicted using a time-dependent formulation of the equations of motion. An integral representation of the equations has been used in which subsonic and supersonic regions of the flow field receive identical treatment. Mild shock structures are permitted to develop naturally without prior knowledge of their exact strength or position. Although the solutions yield a complete definition of the flow field, the primary aim is to produce airfoil surface pressure distributions for the design of aerodynamically efficient turbine blade contours. In order to demonstrate the accuracy of this method, computed airfoil pressure distributions have been compared to experimental results.

Finite volume evolution Galerkin methods — A survey

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Comparison of Turbulence Models in the Flow over a Backward Facing Step

“…The numerical method called Finite Volume Method [10] was used to discretize the equations of government. The interpolation scheme chosen for the simulations was QUICK [11] and the SIMPLE scheme [12] was used in the velocitypressure coupling.…”

Simulating the hydraulic characteristics of the lower Yellow River by the finite‐volume technique

“…Although the finite-element method (FEM) does not always require a regular mesh, it leads to dense matrices and therefore involves lengthy matrix inversion procedures that cause difficulties in recursive calculations of unsteady flow problems (Bauer and Schmidt, 1983). The finite-volume method (FVM), which has the merits of both FDM and FEM, was apparently introduced first in the field of numerical fluid dynamics, independently by McDonald (1971) and MacCormack and Paullay (1972), for the solution of two-dimensional, time-dependent Euler equations (Hirsch, 1988).…”