Galerkin Approximations to Flows within Slabs, Spheres, and Cylinders

作者: Steven A. Orszag

DOI: 10.1103/PHYSREVLETT.26.1100

关键词:

摘要: This Letter introduces infinite-order accurate and efficiently implementable Galerkin (spectral) approximations to time-dependent incompressible flows within slabs, spheres, cylinders with either rigid no-slip or free-slip boundaries. The unusual choice of Chebyshev polynomials as expansion functions is crucial for the efficiency method.

参考文章(4)
C. W. Parkin, Plasma Flux Transport Physics of Fluids. ,vol. 12, pp. 250- 252 ,(1969) , 10.1063/1.1692279
James W. Cooley, John W. Tukey, An algorithm for the machine calculation of complex Fourier series Mathematics of Computation. ,vol. 19, pp. 297- 301 ,(1965) , 10.1090/S0025-5718-1965-0178586-1
Blair Swartz, Burton Wendroff, Generalized finite-difference schemes Mathematics of Computation. ,vol. 23, pp. 37- 49 ,(1969) , 10.1090/S0025-5718-1969-0239768-7