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- W2024966010 abstract "The paper presents a mixed wavelet/spectral Chebychev method for solving the unsteady 2D Stokes equations in the vorticity-stream function formulation with periodicity condition in one direction. After an appropriate time discretisation of the equations, one has to solve at each time step a stationary Stokes-like problem. A capacitance matrix method is used to eliminate the problem of boundary conditions. This leads to solving a series of Helmholtz problems. The spatial discretisation makes use of the wavelet method in the periodic direction and the spectral collocation Chebychev method in the non-periodic direction. The resolution of the discrete Helmholtz problem is done by means of the diagonalisation technique in the non-periodic direction. The system then splits into a sequence of one dimensionnal periodic Helmholtz problems which are efficiently inverted using FFTs. Numerical tests show both the stability and the accuracy of the method." @default.
- W2024966010 created "2016-06-24" @default.
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- W2024966010 date "1998-09-01" @default.
- W2024966010 modified "2023-09-29" @default.
- W2024966010 title "A Mixed Spectral/Wavelet Method for the Solution of the Stokes Problem" @default.
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- W2024966010 doi "https://doi.org/10.1006/jcph.1998.6031" @default.
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