Physical constraints on the coefficients of Fourier expansions in cylindrical coordinates
From MaRDI portal
Publication:4713347
DOI10.1063/1.529009zbMath0781.42005OpenAlexW1995244151MaRDI QIDQ4713347
H. Ralph Lewis, Paul M. Bellan
Publication date: 25 June 1992
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://authors.library.caltech.edu/31377/
Fourier coefficients, Fourier series of functions with special properties, special Fourier series (42A16) Numerical methods in Fourier analysis (65T99)
Related Items
A formulation of Navier-Stokes problem in cylindrical coordinates applied to the 3D entry jet in a duct ⋮ A parallelized multidomain compact solver for incompressible turbulent flows in cylindrical geometries ⋮ An application of one-sided Jacobi polynomials for spectral modeling of vector fields in polar coordinates ⋮ Computation at a coordinate singularity ⋮ On magnetostrophic dynamos in annular cores ⋮ A split-step numerical method for the time-dependent Dirac equation in 3-D axisymmetric geometry ⋮ An axis treatment for flow equations in cylindrical coordinates based on parity conditions ⋮ EUTERPE: a global gyrokinetic code for stellarator geometry ⋮ Determination of the instantaneous geostrophic flow within the three-dimensional magnetostrophic regime ⋮ Numerical treatment of polar coordinate singularities ⋮ The structure of Taylor's constraint in three dimensions ⋮ Characterization of columnar inertial modes in rapidly rotating spheres and spheroids ⋮ Fast direct solvers for Poisson equation on 2D polar and spherical geometries ⋮ Simulation of vorticity dominated flows using a hybrid approach. I: Formulation ⋮ Simulation of vorticity dominated flows using a hybrid approach. II: Numerical method ⋮ On the stages of vortex decay in an impulsively stopped, rotating cylinder ⋮ Direct numerical simulations of vortex breakdown in swirling jets ⋮ Mean zonal flows induced by weak mechanical forcings in rotating spheroids ⋮ Spectral broadening of acoustic waves by convected vortices ⋮ An efficient numerical solution for linear stability of circular jet: A combination of Petrov-Galerkin spectral method and exponential coordinate transformation based on Fornberg's treatment ⋮ Comparing seven spectral methods for interpolation and for solving the Poisson equation in a disk: Zernike polynomials, Logan-Shepp ridge polynomials, Chebyshev-Fourier series, cylindrical Robert functions, Bessel-Fourier expansions, square-to-disk conformal mapping and radial basis functions ⋮ Successive elimination of shear layers by a hierarchy of constraints in inviscid spherical-shell flows ⋮ A simple model for arbitrary pollution effects on rotating free-surface flows
Cites Work
