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A moving mesh method in multiblock domains with application to a combustion problem
Author(s) -
Cao Weiming,
Huang Weizhang,
Russell Robert D.
Publication year - 1999
Publication title -
numerical methods for partial differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.901
H-Index - 61
eISSN - 1098-2426
pISSN - 0749-159X
DOI - 10.1002/(sici)1098-2426(199907)15:4<449::aid-num3>3.0.co;2-g
Subject(s) - polygon mesh , partial differential equation , finite element method , laminar flow , mathematics , mathematical optimization , computer science , algorithm , mathematical analysis , geometry , mechanics , structural engineering , engineering , physics
A moving mesh method for structured grids is presented for general solution domains, which are composed of a number of simply shaped blocks. Its basic idea is to solve moving mesh PDEs by overlapping Schwarz iterations and to connect the meshes in each of the blocks smoothly. A finite element method based upon this moving mesh method is developed for solving time dependent PDEs and validated for the problem of laminar flame propagation in an obstacled channel. © 1999 John Wiley & Sons, Inc. Numer Methods Partial Differential Eq 15: 449–467, 1999