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math.NA2007★ 16 cited
Poloidal-toroidal decomposition in a finite cylinder. II. Discretization, regularization and validation
Piotr Boronski, Laurette S. Tuckerman
The Navier-Stokes equations in a finite cylinder are written in terms of poloidal and toroidal potentials in order to impose incompressibility. Regularity of the solutions is ensur…
math.NA2007★ 16 cited
Poloidal-toroidal decomposition in a finite cylinder. I. Influence matrices for the magnetohydrodynamic equations
Piotr Boronski, Laurette S. Tuckerman
The Navier-Stokes equations and magnetohydrodynamics equations are written in terms of poloidal and toroidal potentials in a finite cylinder. This formulation insures that the velo…