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A heuristic for finding the required density of force and quadrature points by numerical refinement is suggested.
Also, the proposed design is an excellent initial guess for numerical refinement and helps arrive at the four distinct design options for a given opportunity.
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The author overcomes the technical challenge posed by coordinated excitatory and lagged inhibitory input from climbing fibers and molecular-level interneurons through a succession of analytic and numerical refinements of an effective phase response curve model.
In numerical results, refinement schemes are used to demonstrate the convergence of this method.
Numerical implementation and mesh refinement issues to maintain path independent J-values arexploredexplored
We observe that Jain's scheme with a local mesh refinement yields numerical solutions which exhibit the expected fourth-order convergence rate.
The comparison is progressively better as the grid refinement and numerical order of the ENO scheme is increased.
Such a construction guarantees the satisfaction of the patch test (used by engineers as an indicator of optimal convergence of numerical solutions under mesh refinement).
Convergence study of the transverse oscillation of a cylinder shows second-order convergence with refinement of numerical parameters and significantly diminished force oscillation.
The factors we have identified include: grid density and local refinement, the numerical approach, performing a time-step study, the use of sub-iterations for temporal accuracy, the appropriate use of temporal damping, and the use of appropriate turbulence models.
Guidelines are needed for model design to permit the quantification of numerical error, and subsequent grid refinement to minimize error.
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