Journal
JOURNAL OF SCIENTIFIC COMPUTING
Volume 74, Issue 2, Pages 1115-1145Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10915-017-0484-x
Keywords
Block-centered finite difference; Compressible wormhole propagation; Non-uniform grids; Error estimates; Numerical experiments
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Funding
- National Natural Science Foundation of China [11671233]
- Science Challenge Project [JCKY2016212A502]
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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.
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