Nonlinearly consistent schemes for coupled problems in reactor analysis

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Title: Nonlinearly consistent schemes for coupled problems in reactor analysis
Author: Mahadevan, Vijay Subramaniam
Abstract: Conventional coupling paradigms used nowadays to couple various physics components in reactor analysis problems can be inconsistent in their treatment of the nonlinear terms . This leads to usage of smaller time steps to maintain stability and accuracy requirements thereby increasing the computational time . These inconsistencies can be overcome using better approximations to the nonlinear operator in a time stepping strategy to regain the lost accuracy . This research aims at finding remedies that provide consistent coupling and time stepping strategies with good stability properties and higher orders of accuracy . Consistent coupling strategies , namely predictive and accelerated methods , were introduced for several reactor transient accident problems and the performance was analyzed for a 0 -D and 1 -D model . The results indicate that consistent approximations can be made to enhance the overall accuracy in conventional codes with such simple nonintrusive techniques . A detailed analysis of a monoblock coupling strategy using time adaptation was also implemented for several higher order Implicit Runge -Kutta (IRK ) schemes . The conclusion from the results indicate that adaptive time stepping provided better accuracy and reliability in the solution fields than constant stepping methods even during discontinuities in the transients . Also , the computational and the total memory requirements for such schemes make them attractive alternatives to be used for conventional coupling codes .
URI: http : / /hdl .handle .net /1969 .1 /5000
Date: 2007-04-25

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Nonlinearly consistent schemes for coupled problems in reactor analysis. Available electronically from http : / /hdl .handle .net /1969 .1 /5000 .

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