A fast Euler solver for two- and three-dimensional internal flows
โ Scribed by A. Dadone; B. Fortunato; A. Lippolis
- Publisher
- Elsevier Science
- Year
- 1989
- Tongue
- English
- Weight
- 713 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0045-7930
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
A new numerical method is proposed for multidimensional hyperbolic equations. The scheme uses a cubic spatial profile within grids, and is described in an explicit finite-difference form by assuming that both the physical quantity and its spatial derivative obey the master equation. The method gives
MacCormack's explicit time-marching scheme is used to solve the full NavierยฑStokes unsteady, compressible equations for internal ยฏows. The requirement of a very ยฎne grid to capture shock as well as separated ยฏows is circumvented by employing grid clustering. The numerical scheme is applied for axisy
The Euler and Navier-Stokes equations for an incompressible fluid in two dimensions with periodic boundary conditions are considered. Concerning the Euler equation, previous works analyzed the associated (first order) Liouville operator L as a symmetric linear operator in a Hilbert space L 2 รฐm g ร