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Post-processing and visualization techniques in 2D boundary element analysis

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Abstract

Most post-processors for boundary element (BE) analysis use an auxiliary domain mesh to display domain results, working against the profitable modelling process of a pure boundary discretization. This paper introduces a novel visualization technique which preserves the basic properties of the boundary element methods. The proposed algorithm does not require any domain discretization and is based on the direct and automatic identification of isolines. Another critical aspect of the visualization of domain results in BE analysis is the effort required to evaluate results in interior points. In order to tackle this issue, the present article also provides a comparison between the performance of two different BE formulations (conventional and hybrid). In addition, this paper presents an overview of the most common post-processing and visualization techniques in BE analysis, such as the classical algorithms of scan line and the interpolation over a domain discretization. The results presented herein show that the proposed algorithm offers a very high performance compared with other visualization procedures.

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References

  1. Foley JD, van Dam A, Feiner SK et al (1997) Computer graphics. Addison Wesley, Reading

    Google Scholar 

  2. Farin G, Hoschek J, Kim M-S (2002) Handbook of computer aided geometric design. Elsevier, Netherlands

    MATH  Google Scholar 

  3. Aliabadi MH (2002) The boundary element methods, vol 2. Applications in solids and structures. Wiley, Chichester

    Google Scholar 

  4. Banerjee PK (1994) Boundary element methods in engineering. McGraw-Hill, London

    Google Scholar 

  5. Becker AA (1992) The boundary element methods in engineering: a complete course. McGraw-Hill, Cambridge

    Google Scholar 

  6. Beer G, Watson J (1995) Introduction to finite and boundary element methods for engineers. Wiley, Chichester

    Google Scholar 

  7. Beer G (2001) Programming the boundary element method. Wiley, Chichester

    Google Scholar 

  8. Beskos DE (1991) Boundary element methods in mechanics. Elsevier, Amsterdam

    Google Scholar 

  9. Brebbia CA, Telles JCF, Wrobel LC (1984) Boundary element techniques. Springer, Berlin

    MATH  Google Scholar 

  10. Brebbia CA, Domingues J (1989) Boundary element method: an introductory course. Computational Mechanics Publications, Southampton

    Google Scholar 

  11. Gaul L, Kögl M, Wagner M (2003) Boundary element methods for engineers and scientists. Springer, Berlin

    MATH  Google Scholar 

  12. Dumont NA (1989) The hybrid boundary element method: an alliance between mechanical consistence and simplicity. Appl Mech Rev 42(11):S54–S63

    Article  Google Scholar 

  13. Souza RM (1992) O método híbrido dos elementos de contorno para a análise elastostática de sólidos. Master thesis to the Department of Civil Engineering of PUC-Rio, Rio de Janeiro

  14. Dumont NA, Noronha M (1998) A simple scheme for the numerical evaluation of integrals with complex singularity poles. Comput Mech 22:42–49

    Article  MATH  MathSciNet  Google Scholar 

  15. Pape D, Banerjee PK (1987) Treatment of body forces in 2D elastostatic BEM using particular integrals. J Appl Mech 54:871–886

    Article  Google Scholar 

  16. Gomes J, Velho L (2003) Fundamentos da Computação Gráfica. Edited by Série Computação e Matemática. ISBN: 978-85-244-0200-5 [Fundamentals of Computer Graphics]. http://www.impa.br/opencms/pt/publicacoes/col_matematica_e_aplicacoes/livro_fundamentos_da_computacao_grafica/index.html

  17. Crisfield MA (1991) Non-linear finite element analysis of solids and structures. Wiley, Chichester

    Google Scholar 

  18. Levin Y, Ben-Israel A (2002) Directional Newton methods in n variables. Math Comput 71:251–262

    MATH  MathSciNet  Google Scholar 

  19. Ragon SA, Gürdal Z, Watson LT (2002) A comparison of three algorithms for tracing nonlinear equilibrium path of structural systems. Int J Solids Struct 39:689–698

    Article  MATH  Google Scholar 

  20. Noronha M, Pereira AMB, Müller AS (2005) An object-oriented computational platform based on Design Patterns for the BEM implementation. In: McMat2005: 2005 Join ASME/ASCE/SES conference on mechanics and materials, Baton Rouge

  21. Booch G (1994) Object-oriented analysis and design with applications. The Benjamin/Cummings Pub. Co. Inc., Redwood City

    Google Scholar 

  22. Ammeraal L (1998) Computer graphics for java programmers. Wiley, Chichester

    Google Scholar 

  23. Mäntylä M (1988) Introduction to solid modeling. Computer Science Press, Rockville

    Google Scholar 

  24. Booch G, Rumbaugh J, Jacobson I (1999) The unified modeling language: user guide. Addison Wesley, Reading

    Google Scholar 

  25. Gaul L, Wagner M, Wenzel W (1998) Efficient field point evaluation by combined direct and hybrid boundary element methods. Eng Anal Bound Elem 21:215–222

    Article  MATH  Google Scholar 

Download references

Acknowledgments

The authors acknowledge the support of Brazilian agency FAPESP (Fundação de Amparo a Pesquisa do Estado de São Paulo—State of São Paulo Research Foundation).

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Authors and Affiliations

  1. Computer Science Department, Pontifical Catholic University of Rio de Janeiro, Rio de Janeiro, RJ, 22453-900, Brazil

    André Maués Brabo Pereira

  2. Polytechnic School of the University of São Paulo, São Paulo, SP, 05508-900, Brazil

    Marcos Aurélio Marques Noronha

Authors
  1. André Maués Brabo Pereira
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  2. Marcos Aurélio Marques Noronha
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Correspondence to Marcos Aurélio Marques Noronha.

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Pereira, A.M.B., Noronha, M.A.M. Post-processing and visualization techniques in 2D boundary element analysis. Engineering with Computers 26, 35–47 (2010). https://doi.org/10.1007/s00366-009-0134-5

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  • DOI: https://doi.org/10.1007/s00366-009-0134-5

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