A simulated annealing-based inverse computational fluid dynamics model for unknown parameter estimation in fluid flow problem

References

• Anderson , J. 1995 . Computational fluid dynamics , 1st ed , New York : McGraw-Hill Science .
   Google Scholar
• Asuaje , M. 2004 . Inverse design methods for centrifugal impellers and comparison with numerical simulation tools . International Journal of Computational Fluid Dynamics , 18 ( 2 ) : 101 – 110 .
   Web of Science ®Google Scholar
• Barragy , E. and Carey , G.F. 1998 . Stream function-vorticity driven cavity solution using p finite elements . Computers & Fluids , 26 ( 5 ) : 453 – 468 .
   Web of Science ®Google Scholar
• Bassi , F. and Rebay , S. 1997 . A high-order accurate discontinuous finite element method for the numerical solution of the compressible Navier–Stokes Equations . Journal of Computational Physics , 131 ( 2 ) : 267 – 279 .
   Web of Science ®Google Scholar
• Bruneau , C.H. and Saad , M. 2006 . The 2D lid-driven problem revisited . Computers & Fluids , 35 ( 3 ) : 326 – 348 .
   Web of Science ®Google Scholar
• Carasso , A.S. 1992 . Space marching difference schemes in the nonlinear inverse heat conduction problem . Inverse Problems , 8 ( 1 ) : 25 – 43 .
   Web of Science ®Google Scholar
• Chahine , M.T. 1970 . Inverse problems in radiative transfer: determination of atmospheric parameters . Journal of the Atmospheric Sciences , 27 ( 6 ) : 960 – 967 .
   Web of Science ®Google Scholar
• Chorin , A.J. 1968 . Numerical solution of Navier–Stokes equations . Mathematics of Computation , 22 ( 104 ) : 745 – 762 .
   Web of Science ®Google Scholar
• Chorin , A.J. and Marsden , J.E. 2000 . A mathematical introduction to fluid mechanics , 3rd ed , New York : Springer .
   Google Scholar
• Das , R. 2011a . Estimation of radius ratio in a fin using inverse CFD model . CFD Letters , 3 ( 1 ) : 40 – 47 .
   Google Scholar
• Das , R. 2011b . Inverse analysis of Navier-Stokes equations using simplex search method . Inverse Problems in Science and Engineering , DOI: 10.1080/17415977.2011.629046
   Web of Science ®Google Scholar
• Das , R. 2008 . An inverse analysis of a transient 2-D conduction–radiation problem using the lattice Boltzmann method and the finite volume method coupled with the genetic algorithm . Journal of Quantitative Spectroscopy and Radiative Transfer , 109 ( 11 ) : 2060 – 2077 .
   Web of Science ®Google Scholar
• Das , R. , Mishra , S.C. and Uppaluri , R. 2009 . Retrieval of thermal properties in a transient conduction radiation problem with variable thermal conductivity . International Journal of Heat and Mass Transfer , 52 ( 11–12 ) : 2749 – 2758 .
   Web of Science ®Google Scholar
• Ewing , R.E. and Lin , T., . 1991 . A class of parameter estimation techniques for fluid flow in porous data . Advances in Water Resources , 14 ( 2 ) : 89 – 97 .
   Web of Science ®Google Scholar
• Fabbri , G. 1998 . Optimization of heat transfer through finned dissipators cooled by laminar flow . International Journal of Heat and Fluid Flow , 19 ( 6 ) : 644 – 654 .
   Web of Science ®Google Scholar
• Fabbri , G. 1999 . Optimum performances of longitudinal convective fins with symmetrical and asymmetrical profiles . International Journal of Heat and Fluid Flow , 20 ( 6 ) : 634 – 641 .
   Web of Science ®Google Scholar
• Falco , I.D. 1998 . Evolutionary algorithms for aerofoil design . International Journal of Computational Fluid Dynamics , 11 ( 1–2 ) : 51 – 77 .
   Web of Science ®Google Scholar
• Ferziger , J.H. and Peric , M. 2002 . Computational methods for fluid dynamics , 3rd ed , Berlin : Springer .
   Google Scholar
• Ghia , U. , Ghia , K.N. and Shin , C.T. 1982 . High-Re solutions for incompressible flow using Navier–Stokes equations and a multigrid method . Journal of Computational Physics , 48 ( 3 ) : 387 – 411 .
   Web of Science ®Google Scholar
• Guo , C. and Malkin , S. 1996 . Inverse heat transfer analysis of grinding, part 1: methods . Journal of Engineering for Industry , 118 ( 1 ) : 137 – 142 .
   Web of Science ®Google Scholar
• Guo , Z. , Shi , B. and Wang , N. 2000 . Lattice BGK model for incompressible Navier–Stokes equation . Journal of Computational Physics , 165 ( 1 ) : 288 – 306 .
   Web of Science ®Google Scholar
• Harth , Z. , Sun , H. and Schafer , M. 2007 . Comparison of trust region based and evolutionary methods for optimization of flow geometries . Engineering Optimization , 39 ( 7 ) : 797 – 810 .
   Web of Science ®Google Scholar
• Howell , J.R. and Ezekoye , O.A. 2000 . Inverse design model for radiative heat transfer . ASME – Journal of Heat Transfer , 122 ( 3 ) : 492 – 502 .
   Web of Science ®Google Scholar
• Kim , S.K. 2003 . Inverse estimation of thermophysical properties for anisotropic composite . Experimental Thermal and Fluid Science , 27 ( 6 ) : 697 – 704 .
   Web of Science ®Google Scholar
• Kirkpatrick , S. , Gelatt , C.D. and Vecchi , M.P. 1983 . Optimization by simulated annealing . Science , 220 ( 4598 ) : 671 – 680 .
   PubMed Web of Science ®Google Scholar
• Kolahan , F. , Abolbashari , M.H. and Mohitzadeh , S. 2008 . Simulated annealing application for structural application . International Journal of Mechanical Systems Science and Engineering , 1 ( 4 ) : 186 – 189 .
   Google Scholar
• Ku , H.C. , Taylor , T.D., and Hirsh , R.S. 1987 . Pseudospectral methods for solution of the Navier–Stokes equations . Computers & Fluids , 15 ( 2 ) : 195 – 214 .
   Web of Science ®Google Scholar
• Marshall , J. 1997 . A finite-volume, incompressible Navier–Stokes model for studies of the ocean on parallel computers . Journal of Geophysical Research , 102 ( C3 ) : 5753 – 5766 .
   Web of Science ®Google Scholar
• Metroplois , N. 1953 . Equation of state calculations by fast computing machines . Journal of Chemical Physics , 21 ( 6 ) : 1087 – 1092 .
   Web of Science ®Google Scholar
• Munson , B.R. 2010 . Fundamentals of fluid mechanics , 6th ed , New Delhi : Wiley-India .
   Google Scholar
• Muralidhar , K. and Sundararajan , T. 2008 . Computational fluid flow and heat transfer , 2nd ed , New Delhi : Narosa Publishing House .
   Google Scholar
• Nawrat , A. and Skorek , J. 2005 . Inverse approach and sensitivity analysis for identification of ingot-mould thermal resistance in continuous casting of metals . International Journal of Computational Fluid Dynamics , 19 ( 6 ) : 429 – 436 .
   Web of Science ®Google Scholar
• Nohmi , M. , Sakurai , T. and Sogawa , Y. 2002 . Hydrodynamic design system for pumps based on 3-D CAD, CFD, and inverse design method . ASME – Journal of Fluids Engineering , 124 ( 2 ) : 329 – 335 .
   Web of Science ®Google Scholar
• Perumal , D.A. and Dass , A.K. 2008 . “ Simulation of flow in two-sided lid-driven cavities by the lattice Boltzmann method ” . In Advances in fluid mechanics VII, 21–23 May 45 – 54 . New Forest , , UK
   Google Scholar
• Raynaud , M. and Bransier , J. 1986 . A new finite-difference method for the nonlinear inverse heat conduction problem . Numerical Heat Transfer A , 9 ( 1 ) : 27 – 42 .
   Web of Science ®Google Scholar
• Salomon , R. 1998 . Evolutionary algorithms and gradient search: similarities and differences . IEEE Transactions on Evolutionary Computation , 2 ( 2 ) : 45 – 55 .
   Google Scholar
• Schwarze , R. , Klostermann , J. and Brücker , C. 2008 . Experimental and numerical investigations of a turbulent round jet into a cavity . International Journal of Heat and Fluid Flow , 29 ( 6 ) : 1688 – 1698 .
   Web of Science ®Google Scholar
• Seibold , B. 2008 . A compact and fast Matlab code solving the incompressible Navier–Stokes equations on rectangular domains , Massachusetts Institute of Technology . Thesis (MS, Applied Mathematics)
   Google Scholar
• Sleeman , B.D. 1982 . The inverse problem of acoustic scattering . IMA Journal of Applied Mathematics , 29 ( 2 ) : 113 – 142 .
   Web of Science ®Google Scholar
• Strang G . 2007 . Computational science and engineering , 1st ed , Wellesley, MA : Wellesley-Cambridge Press .
   Google Scholar
• Tang , L.Q. , Cheng , T. and Tsang , T.T.H. 1995 . Transient solutions for three-dimensional lid-driven cavity flows by a least-squares finite element method . International Journal for Numerical Methods in Fluids , 21 ( 5 ) : 413 – 432 .
   Web of Science ®Google Scholar
• Toal , D.J.J. 2011 . The development of a hybridized particle swarm for kriging hyperparameter tuning . Engineering Optimization , 43 ( 6 ) : 675 – 699 .
   Web of Science ®Google Scholar