
This paper presents a spectral multidomain method for solving the Navier‐Stokes equations in the vorticity‐stream function formulation. The algorithm is based on an extensive use of the influence matrix technique and so leads to a direct method without any iterative process. Numerical results concerning the Czochralski melt configuration are reported and compared with spectral monodomain solutions to show the advantage of the domain decomposition for such a problem which solution presents a singular behaviour.
vorticity-stream function formulation, Other numerical methods (fluid mechanics), influence matrix technique, Multiphase and multicomponent flows, Navier-Stokes equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Stefan problems, phase changes, etc.
vorticity-stream function formulation, Other numerical methods (fluid mechanics), influence matrix technique, Multiphase and multicomponent flows, Navier-Stokes equations, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs, Stefan problems, phase changes, etc.
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