ON THE SOLUTION OF TRANSIENT FREE-SURFACE FLOW PROBLEMS IN POROUS MEDIA BY FINITE-DIFFERENCE METHODS

NUMERICAL SOLUTIONS ARE OBTAINED FOR A FEW INITIAL BOUNDARY VALUE PROBLEMS IN FREE-SURFACE SATURATED LIQUID FLOW THROUGH POROUS MEDIA. THE "EXACT" DIFFERENTIAL EQUATIONS, AND THE RESULTING SYSTEM OF ALGEBRAIC EQUATIONS IS SOLVED BY USING AN AUTOMATIC DIGITAL COMPUTER. ONLY TWO-DIMENSIONAL, HOMOGENEOUS AND ISOTROPIC FLOW MODELS - INCLUDING INFILTRATION - ARE DEALT WITH, BUT IN PRINCIPLE THERE IS LITTLE DIFFICULTY IN EXTENDING THE MODELS TO NONHOMOGENEOUS AND ANISOTROPIC MEDIA. AN EXTENSION TO THREE DIMENSIONS WILL DEMAND A DRASTIC INCREASE IN THE NECESSARY STORAGE SPACE OF THE COMPUTER. THE QUESTION OF COMPUTATIONAL STABILITY OF THE DIFFERENT SCHEMES ADOPTED IS CONSIDERED. GOOD AGREEMENT WITH SOME RESULTS OF OTHER CALCULATIONS IS FOUND FOR THE TWO DISTINCT MODELS THAT HAVE BEEN STUDIED - ONE "DITCH DRAINAGE" AND ONE EARTH DAM MODEL. /AUTHOR/

  • Supplemental Notes:
    • Vol 12, No 3, PP 177-210
  • Authors:
    • Todsen, M
  • Publication Date: 1971-2

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Filing Info

  • Accession Number: 00204346
  • Record Type: Publication
  • Files: TRIS
  • Created Date: Jun 22 1971 12:00AM