# Simulations of compressible inviscid flows over stationary and rotating cylinders

• M. Hafez
• A. C. B. Dimanlig
Part of the Acta Mechanica book series (ACTA MECH.SUPP., volume 4)

## Summary

Solutions of potential and Euler equations for compressible flows over a cylinder are obtained based on simple artificial viscosity forms using standard numerical techniques. The equations, written in cylindrical coordinates are discretized on an orthogonal grid via central differences with special treatment of boundary conditions. The resulting nonlinear algebraic equations are solved via Newton’s method. A direct solver based on an efficient Gaussian elimination procedure for banded matrices, is employed at each iteration. Preliminary results demonstrate multiple solutions of both systems for the transonic cases of non-zero circulation in the far field. Finally, some remarks about the non-uniqueness problem are discussed.

## Keywords

Euler Equation Stagnation Point Fine Mesh Potential Flow AIAA Paper
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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