Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 379-386.

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VARIABLE GRID FINITE DIFFERENCE METHOD FOR TWO-DIMENSIONAL TWO-PHASE IMMISCIBLE FLOW

Sun Wentao   

  1. Department of Mathematics, Shandong University, Jinan 250100, China
  • Received:1996-06-17 Revised:1997-05-12 Online:1998-12-25 Published:1998-12-25
  • Supported by:
    This work is supported by the Doctoral Fundation of Educational committee of China

Abstract: An explicit,time-dependen variable grid finite difference method is introduced and analyzed for approximating the solution of a scalar conservation law in two dimension.The scheme is stable, and the numerical solution is proved to converges to the relevant phyaical solution.

Key words: Finite difference method, approximate of solution, two-phase immiscible flow

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