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However, numerical difficulty was encountered during the solution of the design equations.
Here we analyze the reasons that give rise to the numerical difficulty.
The problems have been solved for a wide range of parameter values without encountering any numerical difficulty.
The numerical difficulty of the coupling of glass jet and air flow computations, S jets and S air, results from the different underlying discretizations.
Since total variation functional is nonsmooth, which caused the main numerical difficulty, we replace the total variation functional by a smooth approximation like (19). in (13).
Furthermore, we propose exact approaches for handling log-mean temperature difference (LMTD) without numerical difficulty, and compare the effectiveness of the known LMTD approximations.
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A safety margin is introduced to solve the numerical difficulties when solving this type of problem numerically.
That, though, was just the beginning of his numerical difficulties.
Alternative numerical approaches, and associated numerical difficulties, are also discussed.
Unfortunately, too large values of K p may generate ill conditioning and raise numerical difficulties.
When we solve this coupled system directly, the numerical difficulties increase as the mesh size decreases.
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