Application of meshless EFG method in fluid flow problems |
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Authors: | I V Singh |
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Affiliation: | (1) Mechanical Engineering Group, Birla Institute of Technology and Science, 333 031 Pilani, India |
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Abstract: | This paper deals with the solution of two-dimensional fluid flow problems using the meshless element-free Galerkin method.
The unknown function of velocity u(x) is approximated by moving least square approximants uh(x). These approximants are constructed by using a weight function, a monomial basis function and a set of non-constant coefficients.
The variational method is used for the development of discrete equations. The Lagrange multiplier technique has been used
to enforce the essential boundary conditions. A new exponential weight function has been proposed. The results are obtained
for a two-dimensional model problem using different EFG weight functions and compared with the results of finite element and
exact methods. The results obtained using proposed weight functions (exponential) are more promising as compared to those
obtained using existing weight functions (quartic spline and Gaussian) |
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Keywords: | Meshless method element-free Galerkin method steady state analysis transient analysis two-dimensional fluid flow |
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