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Numerical Heat Transfer, Part B: Fundamentals
An International Journal of Computation and Methodology
Volume 70, 2016 - Issue 6
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Original Articles

Fourier pseudospectral method for nonperiodical problems: A general immersed boundary method for three types of thermal boundary conditions

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Pages 537-558 | Received 21 Jun 2016, Accepted 17 Sep 2016, Published online: 28 Nov 2016

References

  • D. Kinoshita, A. Silveira-Neto, F. P. Mariano, R. A. P. da Silva, and R. Serfaty, A Novel Immersed Boundary/Fourier Pseudospectral Method for Flows with Thermal Effects, Numer. Heat Trans. Part B Fundam., vol. 69, pp. 312–333, 2016.
  • C. Peskin, Flow Patterns Around Heart Valves: A Numerical Method, J. Comput. Phys., vol. 10, pp. 252–271, 1972.
  • D. Goldstein, R. Handler, and L. Sirovich, Modeling a No-Slip Flow Boundary with an External Force Field, J. Comput. Phys., vol. 105, pp. 354–366, 1993.
  • A. L. L. e Silva, A. Silveira-Neto, and J. Damasceno, Numerical Simulation of Two–Dimensional Flows Over a Circular Cylinder Using the Immersed Boundary Method, J. Comput. Phys., vol. 189, pp. 351–370, 2003.
  • R. Mittal and G. Iaccarino, Immersed Boundary Methods, Annu. Rev. Fluid Mech., vol. 37, pp. 239–261, 2005.
  • J. Pacheco, A. Pacheco-Vega, T. Rodić, and R. Peck, Numerical Simulations of Heat Transfer and Fluid Flow Problems Using an Immersed-Boundary Finite-Volume Method on Nonstaggered Grids, Numer. Heat Trans. Part B Fundam., vol. 48, pp. 1–24, 2005.
  • D. Pan, An Immersed Boundary Method on UnstructurCartesian Meshes for Incompressible Flows with Heat Transfer, Numer. Heat Trans. Part B Fundam., vol. 49, pp. 277–297, 2006.
  • N. Zhang, Z. Zheng, and S. Eckels, Study of Heat-Transfer on the Surface of a Circular Cylinder in Flow Using an Immersed-Boundary Method, Int. J. Heat Fluid Flow, vol. 29, pp. 1558–1566, 2008.
  • Z. Wang, J. Fan, K. Luo, and K. Cen, Immersed Boundary Method for the Simulation of Flows with Heat Transfer, Int. J. Heat Mass Trans., vol. 52, pp. 4510–4518, 2009.
  • D. L. Young, Y. J. Jan, and C. L. Chiu, A Novel Immersed Boundary Procedure for Flow and Heat Simulations with Moving Boundary, Comput. Fluids, vol. 38, pp. 1145–1159, 2009.
  • H. K. Jeong, H. S. Yoon, M. Y. Ha, and M. Tsutahara, An Immersed Boundary-thermal Lattice Boltzmann Method Using an Equilibrium Internal Energy Density Approach for the Simulation of Flows with Heat Transfer, J. Comput. Phys., vol. 229, pp. 2526–2543, 2010.
  • W. Ren, C. Shu, and W. Yang, Boundary Condition–Enforced Immersed Boundary Method for Thermal Flow Problems with Dirichlet Temperature Condition and its Applications, Comput. Fluids, vol. 57, pp. 40–51, 2012.
  • J. Kim and H. Choi, An Immersed-boundary Finite-volume Method for Simulation of Heat Transfer in Complex Geometries, J. Mech. Sci. Technol., vol. 18, pp. 1026–1035, 2004.
  • A. Pacheco-Vega, J. R. Pacheco, and T. Rodić, A General Scheme for the Boundary Conditions in Convective and Diffusive Heat Transfer with Immersed Boundary Methods, J. Heat Trans., vol. 129, pp. 1506–1516, 2007.
  • W. Ren, C. Shu, and W. Yang, An Efficient Immersed Boundary Method for Thermal Flow Problems with Heat Flux Boundary Conditions, Int. J. Heat Mass Trans., vol. 64, pp. 694–75, 2013.
  • Y. Hu, D. Li, S. Shu, and X. Niu, Study of Multiple Steady Solutions for the 2D Natural Convection in a Concentric Horizontal Annulus with a Constant Heat Flux Wall Using Immersed Boundary-lattice Boltzmann Method, Int. J. Heat Mass Trans., vol. 81, pp. 591–601, 2015.
  • F. Mariano, L. Moreira, A. Silveira-Neto, C. B. da Silva, and J. Pereira, A New Incompressible Navier-Stokes Solver Combining Fourier Pseudo-Spectral and Immersed Boundary Method, CMES Comput. Model. Eng. Sci., vol. 59, pp. 181–216, 2010.
  • F. Mariano, L. Moreira, and A. Silveira-Neto, Mathematical Modeling of Non-Periodic Flows Using Fourier Pseudospectral and Immersed Boundary Methods, ECCOMAS- CFD2010 - Fifth European Conference on Computational Fluid Dynamics, Proceedings of Fifth European Conference on Computational Fluid Dynamics, Lisbon, Portugal, 2010.
  • V. Allampalli, R. Hixon, M. Nallasamy, and S. D. Sawyer, High-Accuracy Large-Step Explicit Runge-Kutta (HALE-RK) Schemes for Computational Aeroacoustics, J. Comput. Phys., vol. 228, pp. 3837–3850, 2009.
  • A. K. Tornberg and B. Engquist, Numerical Approximations of Singular Source Terms in Differential Equations, J. Comput. Phys., vol. 200, pp. 462–488, 2004.
  • E. Padilla and A. Silveira-Neto, Large-eddy Simulation of Transition to Turbulence in Natural Convection in a Horizontal Annular Cavity, Int. J. Heat and Mass Trans., vol. 51, pp. 3656–3668, 2008.
  • C. Canuto, M. Y. Hussaini, A. Quarteroni, and T. A. Zang, Spectral Methods: Fundamentals in Single Domains, 1st ed., pp. 563, Scientific Computation, Springer, New York, 2006.
  • C. Canuto, M. Y Hussaini, A. Quarteroni, and T. A Zang, Spectral Methods: Evolution to Complex Geometries and Applications to Fluid Dynamics, 1st ed., pp. 596, Scientifc Computation, Springer, New York, 2007.
  • J. W. Cooley and J. W. Tukey, An Algorithm for the Machine Calculation of Complex Fourier Series, Math. Comput., vol. 19, pp. 297–301, 1965.
  • R. Courant, K. Friedrichs, and H. Lewy, On the Partial Difference Equations of Mathematical Physic, IBM J. Res. Dev., vol. 11, pp. 215–234, 1967.
  • J. S. Yoo, Dual Free-convective Flows in a Horizontal Annulus with a Constant Heat Flux Wall, Int. J. Heat Mass Trans., vol. 46, pp. 2499–2503, 2003.
  • D. Takahashi, A Hybrid MPI/OpenMP Implementation of a Parallel 3-D FFT on SMP Clusters, Parallel Process. and Appl. Math., vol. 3911, pp. 970–977, 2006.

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