Boundary conditions for incompressible flows
Journal of Scientific Computing
On the eigenvalues of second-order spectral differentiation matrices
ICOSAHOM '89 Proceedings of the conference on Spectral and high order methods for partial differential equations
Spectral method solution of the Stokes equations on nonstaggered grids
Journal of Computational Physics
Mathematica: a system for doing mathematics by computer (2nd ed.)
Mathematica: a system for doing mathematics by computer (2nd ed.)
Journal of Computational Physics
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
SIAM Journal on Scientific Computing
A Legendre Spectral Galerkin Method for the Biharmonic Dirichlet Problem
SIAM Journal on Scientific Computing
Stokes eigenmodes in cubic domain: primitive variable and Lattice Boltzmann formulations
Applied Numerical Mathematics
Journal of Computational Physics
Anelastic Stokes Eigenmodes in Infinite Channel
Journal of Scientific Computing
Hi-index | 31.45 |
The Stokes eigenmodes in the square are numerically determined and their symmetry properties are identified. The spectra evolution laws are in excellent qualitative agreement with the theoretical asymptotic predictions proposed by Constantin and Foias (in "Navier-Stokes equations", University of Chicago Press, 1988), λk ≃ k + O(√k). The slopes are reported here and are found to be specific to the eigenmodes symmetry family. The dynamic equilibria are analyzed and show a linear relationship between the vorticity and the stream function in the core of the eigenmodes. These features of the Stokes eigenmodes confined in the square are shared by the fully periodic Stokes eigenmodes.