A new method is presented for the prediction of unsteady axisymmetric inviscid flows. By combining a triangulated vortex approach with a novel evaluation technique for the Biot-Savart integrals, a Lagrangian vortex method is developed which eliminates the singularities usually present in axisymmetri
On a modified streamline curvature method for the Euler equations
โ Scribed by Cordova, Jeffrey Q. ;Pearson, Carl E.
- Publisher
- Wiley (John Wiley & Sons)
- Year
- 1988
- Tongue
- English
- Weight
- 409 KB
- Volume
- 4
- Category
- Article
- ISSN
- 0748-8025
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โฆ Synopsis
A modification of the streamline curvature method leads to a quasilinear second-order partial differential equation for the streamline coordinate function. The existence of a stream function is not required. The method is applied to subsonic and supersonic nozzle flow, and to axially symmetric flow with swirl. For many situations, the associated numerical method is both fast and accurate.
๐ SIMILAR VOLUMES
Two compact higher-order methods are presented for solving the Euler equations in two dimensions. The flow domain is discretized by triangles. The methods use a characteristic-based approach with a cell-centered finite volume method. Polynomials of order 0 through 3 are used in each cell to represen