Dynamic renormalization-group approach to diffusive flow in heterogeneous systems

Details Dynamic renormalization-group approach to diffusive flow in heterogeneous systems Dynamic renormalization-group approach to diffusive flow in heterogeneous systems

1996-09-20

arxiv.org/abs/cond-mat/9609216v1

Physics

Condensed Matter

6 pages, 4 postscript figures, uses psfig to include the postscript figures

Scientific paper

Conventional methods for the simulation of diffusive systems are quite slow when applied to strongly inhomogeneous systems. We present a new hierarchical approach based on dynamic renormalization-group ideas and on the Walsh transform (or Haar wavelet) of signal-processing theory. The method is very efficient for simulation of petroleum reservoirs or other strongly inhomogeneous diffusive or pressure-driven flow systems. In a test case, the hierarchical method is found to achieve 1.5% accuracy roughly 25 times faster than conventional finite difference methods.

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