Galerkin Approximations to Flows within Slabs, Spheres, and Cylinders
- 3 May 1971
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 26 (18) , 1100-1103
- https://doi.org/10.1103/physrevlett.26.1100
Abstract
This Letter introduces infinite-order accurate and efficiently implementable Galerkin (spectral) approximations to time-dependent incompressible flows within slabs, spheres, and cylinders with either rigid no-slip or free-slip boundaries. The unusual choice of Chebyshev polynomials as Galerkin expansion functions is crucial for the efficiency of the method.Keywords
This publication has 4 references indexed in Scilit:
- Transform Method for the Calculation of Vector-Coupled Sums: Application to the Spectral Form of the Vorticity EquationJournal of the Atmospheric Sciences, 1970
- Generalized finite-difference schemesMathematics of Computation, 1969
- Plasma Flux TransportPhysics of Fluids, 1969
- An algorithm for the machine calculation of complex Fourier seriesMathematics of Computation, 1965