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Journal of Scientific Computing

Erschienen in:

20.06.2017

Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation

verfasst von: Xiaoli Li, Hongxing Rui

Erschienen in: Journal of Scientific Computing | Ausgabe 2/2018

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Abstract

In this paper, the block-centered finite difference method is introduced and analyzed to solve the compressible wormhole propagation. The coupled analysis approach to deal with the fully coupling relation of multivariables is employed. By this, stability analysis and error estimates for the pressure, velocity, porosity, concentration and its flux in different discrete norms are established rigorously and carefully on non-uniform grids. Finally, some numerical experiments are presented to verify the theoretical analysis and effectiveness of the given scheme.

Vorheriger Artikel An h-p Version of the Continuous Petrov–Galerkin Method for Nonlinear Delay Differential Equations

Nächster Artikel On a New Updating Rule of the Levenberg–Marquardt Parameter

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Titel: Block-Centered Finite Difference Method for Simulating Compressible Wormhole Propagation
verfasst von: Xiaoli Li
Hongxing Rui
Publikationsdatum: 20.06.2017
Verlag: Springer US
Erschienen in: Journal of Scientific Computing / Ausgabe 2/2018
Print ISSN: 0885-7474
Elektronische ISSN: 1573-7691
DOI: https://doi.org/10.1007/s10915-017-0484-x

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