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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 76, 2019 - Issue 7
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Original Articles

A three-dimensional shape design problem in determining the boundary geometry to yield isotherms

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Pages 517-532 | Received 16 Apr 2019, Accepted 05 Jul 2019, Published online: 02 Aug 2019

References

  • H. M. Park, and H. J. Shin, “Shape identification for natural convection problems using the adjoint variable method,” Comput. Phys., vol. 186, no. 1, pp. 198–211, 2003. DOI:10.1016/S0021-9991(03)00046-9.
  • E. Divo, A. J. Kassab, and F. Rodriquez, “An efficient singular superposition technique for cavity detection and shape optimization,” Numer. Heat Transf. B, vol. 46, no. 1, pp. 1–30, 2004. DOI:10.1080/10407790490436624.
  • M. Ni, A. J. Kassab, and E. Divo, “Automated hybrid singularity superposition and anchored grid pattern BEM algorithm for the solution of the inverse geometric problem,” Eng. Anal., vol. 73, pp. 69–78, 2016. DOI:10.1016/j.enganabound.2016.09.004.
  • A. J. Kassab, and J. Pollard, “A cubic spline anchored grid pattern algorithm for high resolution detection of subsurface cavities by the IR-CAT method,” Numer. Heat Transf. Part B, vol. 26, no. 1, pp. 63–78, 1994. DOI:10.1080/10407799408914917.
  • T. C. Hung, and W. M. Yan, “Optimization of design parameters for a sandwich-distribution porous-microchannel heat sink,” Numer. Heat Transf. Part A, vol. 66, no. 3, pp. 229–251, 2014. DOI:10.1080/10407782.2013.872978.
  • X. Zhang, and Y. Jaluria, “Optimization of microchannel-based cooling systems,” Numer. Heat Transf. Part A, vol. 74, no. 3, pp. 1053–1067, 2018. DOI:10.1080/10407782.2018.1513285.
  • Y. L. Ng, K. C. Ng, and T. W. H. Sheu, “A new higher-order RBF-FD scheme with optimal variable shape parameter for partial differential equation,” Numer. Heat Transf. Part B, vol. 75, no. 5, pp. 289–311, 2019. DOI:10.1080/10407790.2019.1627811.
  • CFD-ACE + user’s manual, ESI-CFD Inc. 2005.
  • D. M. Marquardt, “An algorithm for least-squares estimation of nonlinear parameters,” J. Soc. Ind. Appl. Math., vol. 11, no. 2, pp. 431–441, 1963. DOI:10.1137/0111030.
  • C. H. Huang, L. Y. Chen, and S. Kim, “An inverse geometry design problem in optimizing the shape of gas channel for proton exchange membrane fuel cell,” J. Power Sources, vol. 187, no. 1, pp. 136–147, 2009. DOI:10.1016/j.jpowsour.2008.10.093.
  • C. H. Huang, and W. C. Tseng, “An optimal volute spiral case design for centrifugal fan: theoretical and experimental studies,” Int. J. Mech. Mater. Des., vol. 12, no. 2, pp. 223–240, 2016. DOI:10.1007/s10999-015-9303-4.
  • C. H. Huang, and H. M. Hsu, “An inverse problem in determining the optimal filler shape of composite materials for maximum effective thermal conductivity,” Int. J. Heat Mass Transf., vol. 80, pp. 98–106, 2015. DOI:10.1016/j.ijheatmasstransfer.2014.09.004.
  • C. H. Cheng, and C. Y. Wu, “An approach combining body-fitted grid generation and conjugate gradient methods for shape design in heat conduction problems,” Numer. Heat Transf. Part B, vol. 37, pp. 69–83, 2000. DOI:10.1080/104077900275558.
  • C. H. Lan, C. H. Cheng, and C. Y. Wu, “Shape design for heat conduction problems using curvilinear grid generation, conjugate gradient, and redistribution methods,” Numer. Heat Transf. Part A, vol. 39, no. 5, pp. 487–510, 2001. DOI:10.1080/104077801750111584.
  • P. Mayeli, M. Nili-Ahmadabadi, and H. Besharati-Foumani, “Inverse shape design for heat conduction problems via the ball spine algorithm,” Numer. Heat Transf. Part B Fund., vol. 69, no. 3, pp. 249–269, 2016. DOI:10.1080/10407790.2015.1096690.
  • C. H. Huang, and Y.-Y. Li, “Determining the optimal geometry for producing isotherms on a boundary surface,” AIAA J. Thermophys. Heat Transf., pp. 1, 2019. (). DOI:10.2514/1.T5713.

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