Numerical investigation of analyticity properties of hydrodynamic equations using spectral methods
Abstract
The regularity properties of nonlinear PDEs occurring in fluid dynamics are investigated using numerical techniques based on Fourier-mode expansions, as applied by Sulem et al. (1983) to the one-dimensional Burgers equation and the nonlinear Schroedinger equations. The time evolution of the spatial analyticity strip is examined for the two-dimensional Euler equation, the nondissipative two-dimensional MHD equations, and the Navier-Stokes and Euler equations in three dimensions. The results are presented in graphs, and the problem of temporal analyticity is considered.
- Publication:
-
IN: Progress and supercomputing in computational fluid dynamics; Proceedings of U.S.-Israel Workshop
- Pub Date:
- 1985
- Bibcode:
- 1985pscf.proc..319S
- Keywords:
-
- Computational Fluid Dynamics;
- Hydrodynamic Equations;
- Spectral Methods;
- Euler Equations Of Motion;
- Incompressible Fluids;
- Navier-Stokes Equation;
- Partial Differential Equations;
- Temporal Distribution;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer