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In this work, the time-marching reinitialization method is extended to compute the unsigned distance function in multi-region systems involving arbitrary number of regions.
In the present work Eshelby's equivalent inclusion method is extended to compute the effective properties of two inclusions in a heterogeneous matrix.
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The non-staggered-grid method originally developed by C. M. Rhie and W. L. Chow (AIAAJ.21, 1525 (1983)) for steady state problems is extended to compute unsteady flows.
Then it is extended to compute unsteady flows past oscillatory aerofoils.
In the generalization introduced in [8], it was shown that the adjoint method can be extended to compute ∇Θ for points in a neighborhood of the limit cycle, for which the periodicity condition is not satisfied.
In the future, the method can be extended to compute not only optimal parameters, but rather a distribution of plausible parameters for each input alignment.
Furthermore, the method in this work may be extended to compute a reachable set of linear neutral systems, and it may even be used to deal with stability of linear systems and non-linear systems in the future.
Our parallel method is extended to work with the Hadoop MapReduce programming model and is executed in different cloud computing environments.
The method is extended to higher harmonics.
To conduct the real parallelism to reduce the computation time, our parallel method was extended to work with the Hadoop MapReduce programming model and was executed in different cloud computing environments.
In this work, the continuum sensitivity method (CSM) is extended to three-dimensions (3D) to accurately compute sensitivity fields and in particular changes in the design objectives as a result of infinitesimal perturbations to the design parameters.
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