A LOCAL DIFFERENTIAL QUADRATURE METHOD WITH VARIABLE SHAPE MULTIQUADRICS: TESTS ON POISSON EQUATION AND FLUID DYNAMICS USING CONSISTENT CLOUD REFINEMENTS

Authors

  • J. R. da Silva Universidade Federal do Acre
  • L. G. C. Santos Universidade Federal de Itajubá
  • N. Manzanares Filho Universidade Federal do Acre

DOI:

https://doi.org/10.5380/reterm.v16i2.62212

Keywords:

local differential quadrature method with multiquadrics, clouds with unstructured generation

Abstract

A meshless Local Differential Quadrature Method for solving partial differential equations is presented in this paper. It is based in a point cloud discretization and local supports. A basis set of Multiquadric functions is employed for determining the weight coefficients in derivative approximations. Tests with the Poisson equation are presented for verifying the converge behavior of the method in Clouds with Unstructured Generation (CUG’s). A consistent refinement procedure for varying the multiquadric shape parameter between local supports is proposed. The method is finally applied for solving the classical benchmark problem of natural convection in a square cavity. Satisfactory results were obtained in comparison with the reference literature.

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Published

2017-12-31

How to Cite

Silva, J. R. da, Santos, L. G. C., & Manzanares Filho, N. (2017). A LOCAL DIFFERENTIAL QUADRATURE METHOD WITH VARIABLE SHAPE MULTIQUADRICS: TESTS ON POISSON EQUATION AND FLUID DYNAMICS USING CONSISTENT CLOUD REFINEMENTS. Revista De Engenharia Térmica, 16(2), 62–66. https://doi.org/10.5380/reterm.v16i2.62212

Issue

Vol. 16 No. 2 (2017)

Section

Ciência/Science

License

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