A "mildly inconsistent" method for accelerating upstream corner balance transport Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/000003289

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  • A new method for accelerating the Upstream Corner Balance (UCB) discretization of the equation of transfer is introduced. The inconsistent acceleration equations for the UCB discretization are derived by applying the "Modified 4-Step" diffusion synthetic acceleration technique not to the UCB discretization, but instead to the simple corner balance (SCB) transport discretization. The 1D and 2D convergence properties of the new method have been determined by Fourier analysis and this data agrees well with observed results. These results indicate that this inconsistent acceleration scheme will greatly increase the rate of iterative convergence of UCB compared to that of source iteration alone.
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  • description.provenance : Approved for entry into archive by Patricia Black(patricia.black@oregonstate.edu) on 2012-08-24T17:06:41Z (GMT) No. of bitstreams: 1 GulickJohnC2001.pdf: 3382253 bytes, checksum: 6ce9f100993e03966d2380174cd69b40 (MD5)

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