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Cao, Weiming; Huang, Weizhang; Russell, Robert D.

A moving mesh method in multiblock domains with application to a combustion problem. (English) Zbl 0972.80011

Numer. Methods Partial Differ. Equations 15, No. 4, 449-467 (1999).
Summary: 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.

Cited in 5 Documents

MSC:

80M10 Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer
80A25 Combustion

Keywords:

combustion; adaptive finite element method; moving mesh method; overlapping Schwarz iterations; laminar flame propagation
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References:

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