Wavelet Preconditioners of Electrohydrodynamic flow problem
Authors
M. H. Kantli and M. M. Holliyavar
Abstract
In \u00a0this \u00a0paper \u00a0wavelet \u00a0preconditioned \u00a0method \u00a0is \u00a0used \u00a0for \u00a0the \u00a0solution \u00a0of \u00a0Electrohydrodynamic
flow problem. A finite difference method is used for the solution of Electrohydrodynamic flow equation. The
method comprise the nonlinear Newton iteration on the outer loop and a linear iteration on the inside loop
where \u00a0wavelet \u00a0based \u00a0preconditioned \u00a0GMRES \u00a0(Generalized \u00a0Minimum \u00a0Residual) \u00a0method \u00a0is \u00a0used. \u00a0In \u00a0the
scheme \u00a0the \u00a0Jacobian vector product \u00a0is \u00a0approximated \u00a0accurately with \u00a0much \u00a0ease (without forming \u00a0Jacobian
explicitly \u00a0and \u00a0requiring \u00a0no \u00a0extra \u00a0storage). \u00a0It \u00a0overcomes \u00a0the \u00a0limitations \u00a0of \u00a0conventional \u00a0schemes \u00a0for \u00a0the
numerical solution of Electrohydrodynamic flow problem, for computing fluid velocity, covering wide range
of Hartmann electric number (Ha) parameter with constant
of practical interest. To confirm and validate
the solutions obtained, by the present method, are compared with those obtained by GMRES method.
