جهت دسترسی به کاربرگه ی زیر، از این لینک استفاده کنید. http://dl.pgu.ac.ir/handle/Hannan/113722
Title: Improving the convergence behaviour of a fixed-point-iteration solver for multiphase flow in porous media
Keywords: Applied Mathematics; Mathematical Sciences;Physical Sciences;Engineering
Issue Date: 25-Nov-2016
Publisher: Wiley
place: Engineering & Physical Science Research Council (EPSRC);Engineering & Physical Science Research Council (E;Commission of the European Communities
Description: A new method to admit large Courant numbers in the numerical simulation of multiphase flow is presented. The governing equations are discretised in time using an adaptive -method. However, the use of implicit discretisations does not guarantee convergence of the non-linear solver for large Courant numbers. In this work, a double-fixed point iteration method with backtracking is presented that improves both convergence and convergence rate. Moreover, acceleration techniques are presented to yield a more robust non-linear solver with increased effective convergence rate. The new method reduces the computational effort by strengthening the coupling between saturation and velocity, obtaining an efficient backtracking parameter, using a modified version of Anderson’s acceleration and adding vanishing artificial diffusion.
URI: http://dl.pgu.ac.ir/handle/Hannan/113722
Other Identifiers: 1097-0363
http://hdl.handle.net/10044/1/42734
EP/K003976/1
EP/M012794/1
662157
Type Of Material: Other
Appears in Collections:Chemical Engineering

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