Document Type


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Technical Report 102


Unsteady, two dimensional internal and external flows are analyzed using an arithmetic n-body formulation. A Lagrangian approach is used to study the internal shock formation in a shock tube and the external flows over a circular cyclinder, a flat plate and an airfoil. Viable physical mechanisms of the shock and boundary layer formation and of flow separation are developed. This approach results in a computer simulation of a wind tunnel in which arbitrarily shaped bodies can be studied. Extensive computer examples are described for which agreement with experimental data is good for all cases in which the damping of the velocities from the surface of the body is small. In the present paper, emphasis is placed on qualitative results for nonlinear and free surface phenomena.


Mathematics | Physical Sciences and Mathematics

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Mathematics Commons



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