TENG Fei, LUO Zhen-dong. A Reduced-Order Extrapolating Simulation Model for Unsaturated Soil Water Flow Problem[J]. Applied Mathematics and Mechanics, 2014, 35(2): 148-161. doi: 10.3879/j.issn.1000-0887.2014.02.004
Citation: TENG Fei, LUO Zhen-dong. A Reduced-Order Extrapolating Simulation Model for Unsaturated Soil Water Flow Problem[J]. Applied Mathematics and Mechanics, 2014, 35(2): 148-161. doi: 10.3879/j.issn.1000-0887.2014.02.004

A Reduced-Order Extrapolating Simulation Model for Unsaturated Soil Water Flow Problem

doi: 10.3879/j.issn.1000-0887.2014.02.004
Funds:  The National Natural Science Foundation of China(11271127)
  • Received Date: 2013-09-02
  • Rev Recd Date: 2013-12-25
  • Publish Date: 2014-02-15
  • A reduced-order extrapolating simulation model with sufficiently high accuracy and fews degress of freedom for the two-dimensional unsaturated soil water flow problem was established by means of the Crank-Nicolson finite volume element (CNFVE) method and POD technique. The error estimates of the reduced-order approximate solutions and the algorithm implementation for the reduced-order extrapolating simulation model were provided. Finally, a numerical example was taker to illustrate that the results of numerical computation are consistent with those of theoretical solutions. Moreover, the advantage of the reduced-order extrapolating simulation model lies in its simpler computation and higher accuracy.
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