Pseudospectral-finite difference method for three-dimensional vorticity equation with bilaterally periodic boundary conditions. (English) Zbl 0830.76064
Summary: A Fourier pseudospectral-finite difference scheme is proposed for three- dimensional vorticity equation with bilaterally periodic boundary conditions. The numerical solution possesses semi-discrete conservation. The generalized stability and convergence are analyzed.
MSC:
| 76M20 | Finite difference methods applied to problems in fluid mechanics |
| 76M25 | Other numerical methods (fluid mechanics) (MSC2010) |
| 76D05 | Navier-Stokes equations for incompressible viscous fluids |
| 65M70 | Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs |
