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Chebyshev collocation method and multidomain decomposition for the incompressible Navier-Stokes equations. (English) Zbl 0805.76055
The authors solved the two-dimensional incompressible Navier-Stokes equations by a pseudo-spectral Chebyshev expansion method using a second- order time-splitting scheme. First, the authors developed a single-block algorithm. For the single-block solver, a second-order-in time “semi- implicit” scheme belonging to the family of projection methods is selected. Once the single-block solver is validated, a multidomain algorithm can be designed.
Reviewer: V.A.Sava (Iaşi)

MSC:
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
65M55 Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs
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