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An Optimal Compact Storage Scheme for Nonlinear Reactor Problems by FEM

dc.contributor.authorSalinas, D.
dc.contributor.authorNguyen, D.
dc.contributor.authorFranke, R.
dc.date1976-11
dc.date.accessioned2013-04-29T23:27:58Z
dc.date.available2013-04-29T23:27:58Z
dc.date.issued1976-11
dc.identifier.urihttps://hdl.handle.net/10945/31828
dc.description.sponsorshipNAen_US
dc.description.urihttp://archive.org/details/optimalcompactst03sali
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.titleAn Optimal Compact Storage Scheme for Nonlinear Reactor Problems by FEMen_US
dc.typeTechnical Reporten_US
dc.subject.authorfinite elementen_US
dc.subject.authornonlinearen_US
dc.subject.authorreactor dynamicsen_US
dc.subject.authoroptimal compact storage.en_US
dc.description.courseThis work shows that optimal compact storage of coefficient matrices affords a significant reduction in core storage requirements over banded storage schemes. The resulting savings enables in core finite element solutions of large systems not otherwise possible. It is shown that Gears method for the stiff system of a nonlinear reactor dynamics problem is not as efficient as Crank-Nicolson integration because of substantially greater core requirements, despite its superior tracking ability. A remedy in the form of a modified implicit version of Gears method with a significant reduction in core requirements is shown to provide the same excellent accuracy as Gears method. Comparisons between the modified Gear method and the Crank-Nicolson method show the relative advantages and disadvantages of each. Finally, it is shown that although the nonlinearity encountered in this problem can be treated directly, a linear approximation of the nonlinear term affords a substantial reduction in core requirement with a relatively small cost in accuracy.en_US
dc.identifier.npsreportNPS-69Zc76111


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