ELEMENT FREE GALERKIN METHODFOR THE NUMERICAL SOLUTION OF 2-D POTENTIAL FLOW PROBLEMS

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RAHMANI FIROOZJAH ALI; Hendi Ehsan; Farvizi Farzad

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Seminar Paper

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Seminar: NATIONAL CONGRESS ON CIVIL ENGINEERING
Year:2014 | Issue:8

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Title

ELEMENT FREE GALERKIN METHODFOR THE NUMERICAL SOLUTION OF 2-D POTENTIAL FLOW PROBLEMS

Author(s)

RAHMANI FIROOZJAH ALI | Hendi Ehsan | Farvizi Farzad | Issue Writer Certificate

Keywords

ELEMENT FREE GALERKIN METHOD

POTENTIAL FLOW PROBLEMS

MOVING LEAST SQUARESINTERPOLATIONS

SENSITIVITY ANALYSIS

IRREGULAR DISTRIBUTION OF NODAL POINTS

Abstract

IN RECENT YEARS DIFFERENT TYPES OF THE MESHLESS METHODS ARE PRESENTED FOR SOLVING MANY ENGINEERINGPROBLEMS THAT EACH OF THEM HAS ADVANTAGES AND DISADVANTAGES. IN MOST OF THE MESHLESS METHODS, DOMAINDISCRETIZATION LEADS TO INTEGRAL EQUATIONS WHICH SOLVED USING NUMERICAL INTEGRATION. IN THIS PAPER ELEMENTFREE GALERKIN (EFG) METHOD IS USED TO SOLVE POTENTIAL PROBLEMS. THESE PROBLEMS ARE INDEPENDENT OFTIME AND INVOLVE ONLY SPACE COORDINATE, AS IN POISSON’S EQUATION OR THE LAPLACE EQUATION WITH DIRICHLET, NEUMANN OR MIXED CONDITIONS. WHEN THE PROBLEMS ARE TOO COMPLEX, THEY USUALLY CANNOT BE SOLVED WITHANALYTICAL SOLUTIONS. IN EFG METHOD THE TRIAL AND TEST FUNCTIONS EMPLOYED IN THE DISCRETIZATION PROCESSRESULT FROM MOVING LEAST SQUARES (MLS) INTERPOLATIONS. ONE OF THE VALIDATED EXAMPLES OF THE PROPOSEDMETHOD IS A LAPLACE EQUATION WITH MIXED BOUNDARY CONDITIONS ON A RECTANGULAR DOMAIN AND THE SENSITIVITYANALYSIS ON NODAL AND GAUSS POINTS IS DONE FOR THIS EXAMPLE AND THE EFFECT OF IRREGULARITY IS ALSOINVESTIGATED ON THE SOLUTION OF THE EFG METHOD IN THIS EXAMPLE. FLOW OVER A CYLINDER IS THE OTHERBENCHMARK EXAMPLE THAT IS CONSIDERED WITH TWO DIFFERENT DISTRIBUTIONS OF NODAL POINTS.

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APA: Copy

RAHMANI FIROOZJAH, ALI, Hendi, Ehsan, & Farvizi, Farzad. (2014). ELEMENT FREE GALERKIN METHODFOR THE NUMERICAL SOLUTION OF 2-D POTENTIAL FLOW PROBLEMS. NATIONAL CONGRESS ON CIVIL ENGINEERING. SID. https://sid.ir/paper/946809/en

Vancouver: Copy

RAHMANI FIROOZJAH ALI, Hendi Ehsan, Farvizi Farzad. ELEMENT FREE GALERKIN METHODFOR THE NUMERICAL SOLUTION OF 2-D POTENTIAL FLOW PROBLEMS. 2014. Available from: https://sid.ir/paper/946809/en

IEEE: Copy

ALI RAHMANI FIROOZJAH, Ehsan Hendi, and Farzad Farvizi, “ELEMENT FREE GALERKIN METHODFOR THE NUMERICAL SOLUTION OF 2-D POTENTIAL FLOW PROBLEMS,” presented at the NATIONAL CONGRESS ON CIVIL ENGINEERING. 2014, [Online]. Available: https://sid.ir/paper/946809/en

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