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In the present study we propose an original approach to solve the steady problem.
Moreover, compared with other higher order interpolation schemes such as ENO type schemes, MLP shows a good convergence characteristic in a steady problem and it is very simple to be implemented.
This transformation has no counterpart in the corresponding steady problem.
We plot the streamlines of velocity for the steady problem and the time-dependent problem at final time (t=6.31) in Figure 7 and Figure 8, respectively.
Figure 7 Streamlines of velocity contours for u: steady problem. Figure 8 Streamlines of velocity contours for u: time-dependent problem at final time (pmb{t=6.31}).
However, we find that the solutions of the time-dependent problem can converge to the solutions of the steady problem. Figure 5 Horizontal velocity (pmb{u_{1}}) near reentrant corner ( (pmb{x=4.0625}) ).
Similar(51)
Here we apply this theory to spectral approximations to two-dimensional steady problems.
The generalized decomposition is shown to be useful for a wide range of problems including steady problems.
However, they face several problems, at least for steady problems which are the only cases considered here.
Both for steady problems and for sub-iterations within unsteady problems, a globally coupled system of residual equations is solved by Newton's method.
The work is an extension of a method presented by Mulholland, Huang, and Sloan for the adaptive pseudospectral solution of steady problems.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com