GREEN€™S FUNCTION BASED FINITE ELEMENT FORMULATIONS FOR ISOTROPIC SEEPAGE ANALYSIS WITH FREE SURFACE

Authors

  • QING-HUA QIN AUSTRALIAN NATIONAL UNIVERSITY

Keywords:

SEEPAGE, FREE SURFACE, ISOTROPIC DAM, HYBRID FINITE ELEMENT METHOD, GREEN€™S FUNCTION

Abstract

A SOLUTION PROCEDURE USING THE GREENÂS FUNCTION BASED FINITE ELEMENT METHOD (FEM) IS PRESENTED FOR TWO-DIMENSIONAL NONLINEAR STEADY-STATE SEEPAGE ANALYSIS WITH THE PRESENCE OF FREE SURFACE IN ISOTROPIC DAMS. IN THE PRESENT ALGORITHM, AN ITERATION STRATEGY IS DESIGNED TO CONVERT THE OVER-SPECIFIED FREE SURFACE PROBLEM TO A REGULAR PARTIAL DIFFERENTIAL EQUATION PROBLEM. THEN, AT EACH ITERATION STEP, THE GREENÂS FUNCTION FOR ISOTROPIC LINEAR SEEPAGE PARTIAL DIFFERENTIAL EQUATION IS EMPLOYED TO CONSTRUCT THE ELEMENT INTERIOR WATER HEAD FIELD, WHILE THE CONVENTIONAL SHAPE FUNCTIONS ARE USED FOR THE INDEPENDENT ELEMENT FRAME WATER HEAD FIELD. THEN THESE TWO INDEPENDENT FIELDS ARE CONNECTED BY A DOUBLE-VARIABLE HYBRID FUNCTIONAL TO PRODUCE THE FINAL SOLVING EQUATION SYSTEM. BY MEANS OF THE PHYSICAL DEFINITION OF GREENÂS FUNCTION, ALL TWO-DIMENSIONAL ELEMENT DOMAIN INTEGRALS IN THE PRESENT ALGORITHM CAN REDUCE TO ONE-DIMENSIONAL ELEMENT BOUNDARY INTEGRALS, SO THAT VERSATILE MULTI-NODE ELEMENT IS CONSTRUCTED TO SIMPLIFY MESH RECONSTRUCTION DURING ITERATION. FINALLY, NUMERICAL RESULTS FROM THE PRESENT GREENÂS FUNCTION BASED FEM WITH ISOTROPIC GREENÂS FUNCTION KERNELS ARE COMPARED WITH OTHER NUMERICAL RESULTS TO VERIFY AND DEMONSTRATE THE PERFORMANCE OF THE PRESENT METHOD.

Author Biography

QING-HUA QIN, AUSTRALIAN NATIONAL UNIVERSITY

HE RECEIVED HIS BE DEGREE IN MECHANICAL ENGINEERING FROM XI'AN HIGHWAY UNIVERSITY (CURRENTLY CHANG AN UNIVERSITY), CHINA, IN 1982, EARNING HIS MASTER OF SCIENCE AND PHD DEGREES FROM HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY (HUST), CHINA, IN 1984 AND 1990, RESPECTIVELY. BOTH MS AND PHD DEGREES ARE IN APPLIED MECHANICS. HE JOINED THE DEPARTMENT OF MECHANICS AS AN ASSOCIATE LECTURER AT HUST IN 1984, AND WAS PROMOTED TO LECTURER OF MECHANICS IN 1987 DURING HIS PHD CANDIDATURE PERIOD. AFTER SPENDING TEN YEARS LECTURING AT HUST, HE WAS AWARDED A DAAD/K.C. WONG RESEARCH FELLOWSHIP IN 1994, WHICH ENABLED HIM TO WORK AT THE UNIVERSITY OF STUTTGART IN GERMANY FOR NINE MONTHS. IN 1995 HE LEFT HUST TO TAKE UP A POSTDOCTORAL RESEARCH FELLOWSHIP AT TSINGHUA UNIVERSITY, CHINA, WHERE HE WORKED UNTIL 1997. HE WAS AWARDED A QUEEN ELIZABETH II FELLOWSHIP IN 1997 AND A PROFESSORIAL FELLOWSHIP IN 2002 AT UNIVERSITY OF SYDNEY AND STAYED THERE TILL DECEMBER 2003, BOTH BY THE AUSTRALIAN RESEARCH COUNCIL, AND IS CURRENTLY A PROFESSOR IN THE SCHOOL OF ENGINEERING AT THE AUSTRALIAN NATIONAL UNIVERSITY, AUSTRALIA. HE HAS PUBLISHED OVER 200 PEER REVIEWED PAPERS AND FIVE AUTHORED BOOKS.

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Published

2015-07-07

Issue

Vol 12, No 10 (2015)

Section

Articles

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