Numerical Heat Transfer, Part B: Fundamentals: An International Journal of Computation and Methodology

Taylor & Francis makes every effort to ensure the accuracy of all the information (the “Content”) contained in the publications on our platform. However, Taylor & Francis, our agents, and our licensors make no representations or warranties whatsoever as to the accuracy, completeness, or suitability for any purpose of the Content. Any opinions and views expressed in this publication are the opinions and views of the authors, and are not the views of or endorsed by Taylor & Francis. The accuracy of the Content should not be relied upon and should be independently verified with primary sources of information. Taylor and Francis shall not be liable for any losses, actions, claims, proceedings, demands, costs, expenses, damages, and other liabilities whatsoever or howsoever caused arising directly or indirectly in connection with, in relation to or arising out of the use of the Content.

[1]  L Wang,et al.  MCML--Monte Carlo modeling of light transport in multi-layered tissues. , 1995, Computer methods and programs in biomedicine.

[2]  M. Sussman,et al.  A Coupled Level Set and Volume-of-Fluid Method for Computing 3D and Axisymmetric Incompressible Two-Phase Flows , 2000 .

[3]  Leevan Ling,et al.  Identification of source locations in two-dimensional heat equations , 2006 .

[4]  Vivek V. Ranade,et al.  FLOW GENERATED BY PITCHED BLADE TURBINES I: MEASUREMENTS USING LASER DOPPLER ANEMOMETER , 1989 .

[5]  J. R. Howell,et al.  Monte carlo solution of thermal transfer through radiant media between gray walls. , 1964 .

[6]  Gang Wang,et al.  A computational Lagrangian–Eulerian advection remap for free surface flows , 2004 .

[7]  S. Kumar,et al.  Discrete-ordinates solution of short-pulsed laser transport in two-dimensional turbid media. , 2001, Applied optics.

[8]  R. A. Nicolaides,et al.  Flow discretization by complementary volume techniques , 1989 .

[9]  J. Murthy,et al.  A PRESSURE-BASED METHOD FOR UNSTRUCTURED MESHES , 1997 .

[10]  P. Woodward,et al.  SLIC (Simple Line Interface Calculation) , 1976 .

[11]  Pedro J. Coelho Bounded skew high-order resolution schemes for the discrete ordinates method , 2002 .

[12]  F. Durst,et al.  Low Reynolds number flow over a plane symmetric sudden expansion , 1974, Journal of Fluid Mechanics.

[13]  S. Osher,et al.  A level set approach for computing solutions to incompressible two-phase flow , 1994 .

[14]  Antony Jameson,et al.  An Assessment of Dual-Time Stepping, Time Spectral and Artificial Compressibility based Numerical Algorithms for Unsteady , 2009 .

[15]  Nasser Ashgriz,et al.  FLAIR: fluz line-segment model for advection and interface reconstruction , 1991 .

[16]  J. Howell The Monte Carlo Method in Radiative Heat Transfer , 1998 .

[17]  W. Q. Tao,et al.  A coupled volume-of-fluid and level set (VOSET) method for computing incompressible two-phase flows , 2010 .

[18]  Joel H. Ferziger,et al.  Computational methods for fluid dynamics , 1996 .

[19]  Yukio Yamada,et al.  Monte Carlo simulation of light transmission through living tissues. , 1991, Applied optics.

[20]  D. Juric,et al.  A front-tracking method for the computations of multiphase flow , 2001 .

[21]  B. Hunter,et al.  Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART II: Benchmark Comparisons , 2012 .

[22]  B. Hunter,et al.  Phase-function normalization for accurate analysis of ultrafast collimated radiative transfer. , 2012, Applied optics.

[23]  J. Howell,et al.  Monte Carlo Prediction of Radiative Heat Transfer in Inhomogeneous, Anisotropic, Nongray Media , 1994 .

[24]  Hrvoje Jasak,et al.  Error analysis and estimation for the finite volume method with applications to fluid flows , 1996 .

[25]  C. Fu,et al.  The method of fundamental solutions for the inverse heat source problem. , 2008 .

[26]  R. O. Buckius,et al.  Scaling Anisotropic Scattering in Radiation Heat Transfer for a Planar Medium , 1982 .

[27]  Yeng-Yung Tsui,et al.  A STUDY OF UPSTREAM-WEIGHTED HIGH-ORDER DIFFERENCING FOR APPROXIMATION TO FLOW CONVECTION , 1991 .

[28]  M. S. Gadala,et al.  Effectiveness and Efficiency of Particle Swarm Optimization Technique in Inverse Heat Conduction Analysis , 2009 .

[29]  Michael L. Accorsi,et al.  Parachute fluid-structure interactions: 3-D computation , 2000 .

[30]  Y. Lai AN UNSTRUCTURED GRID METHOD FOR A PRESSURE-BASED FLOW AND HEAT TRANSFER SOLVER , 1997 .

[31]  Satya N. Atluri,et al.  A Highly Accurate Technique for Interpolations Using Very High-Order Polynomials, and Its Applications to Some Ill-Posed Linear Problems , 2009 .

[32]  M. Peric ANALYSIS OF PRESSURE-VELOCITY COUPLING ON NONORTHOGONAL GRIDS , 1990 .

[33]  Y. Lai Unstructured Grid Arbitrarily Shaped Element Method for Fluid Flow Simulation , 2000 .

[34]  Xiaofeng Yang,et al.  An adaptive coupled level-set/volume-of-fluid interface capturing method for unstructured triangular grids , 2006, J. Comput. Phys..

[35]  F. Durst,et al.  Steady and Unsteady Computations of Turbulent Flows Induced by a 4/45° Pitched-Blade Impeller , 1999 .

[36]  R. Bowtell,et al.  Boundary Element Method for an Inverse Problem in Magnetic Resonance Imaging Gradient Coils , 2008 .

[37]  I. Demirdzic,et al.  Fluid flow and heat transfer test problems for non‐orthogonal grids: Bench‐mark solutions , 1992 .

[38]  J. Truelove,et al.  Three-dimensional radiation in absorbing-emitting-scattering media using the discrete-ordinates approximation , 1988 .

[39]  C. W. Hirt,et al.  Volume of fluid (VOF) method for the dynamics of free boundaries , 1981 .

[40]  W. Rider,et al.  Reconstructing Volume Tracking , 1998 .

[41]  M. Akamatsu,et al.  Ultrafast Radiative Heat Transfer in Three-Dimensional Highly-Scattering Media Subjected to Pulse Train Irradiation , 2011 .

[42]  Michael Schäfer,et al.  Efficiency and accuracy of fluid-structure interaction simulations using an implicit partitioned approach , 2008 .

[43]  S. Ozono Flow control of vortex shedding by a short splitter plate asymmetrically arranged downstream of a cylinder , 1999 .

[44]  Fue-Sang Lien,et al.  A general non-orthogonal collocated finite volume algorithm for turbulent flow at all speeds incorporating second-moment turbulence-transport closure, Part 1: Computational implementation , 1994 .

[45]  Chein-Shan Liu A self-adaptive LGSM to recover initial condition or heat source of one-dimensional heat conduction equation by using only minimal boundary thermal data , 2011 .

[46]  Suhas V. Patankar,et al.  RAY EFFECT AND FALSE SCATTERING IN THE DISCRETE ORDINATES METHOD , 1993 .

[47]  E. Oñate,et al.  Finite volumes and finite elements: Two ‘good friends’ , 1994 .

[48]  P. Rath,et al.  New Formulation of Radiative Flux in Ultrashort Time Scale with its Implications , 2012 .

[49]  P. Gaskell,et al.  Curvature‐compensated convective transport: SMART, A new boundedness‐ preserving transport algorithm , 1988 .

[50]  Yukio Yamada,et al.  LIGHT-TISSUE INTERACTION AND OPTICAL IMAGING IN BIOMEDICINE , 1995 .

[51]  Kazuhiko Kudo,et al.  Radiative heat transfer by the Monte Carlo method , 1995 .

[52]  Warren J. Wiscombe,et al.  On initialization, error and flux conservation in the doubling method , 1976 .

[53]  Dongjoo Kim,et al.  A Second-Order Time-Accurate Finite Volume Method for Unsteady Incompressible Flow on Hybrid Unstructured Grids , 2000 .

[54]  Lars Davidson,et al.  A PRESSURE CORRECTION METHOD FOR UNSTRUCTURED MESHES WITH ARBITRARY CONTROL VOLUMES , 1996 .

[55]  Y. Tsui,et al.  Investigation of the mixing flow structure in multilobe mixers , 1996 .

[56]  Tomohiro Endo,et al.  Development of New Solid Angle Quadrature Sets to Satisfy Even- and Odd-Moment Conditions , 2007 .

[57]  Zhixiong Guo,et al.  Conservation of asymmetry factor in phase function discretization for radiative transfer analysis in anisotropic scattering media , 2012 .

[58]  Enrico Nobile,et al.  Numerical analysis of fluid flow and heat transfer in periodic wavy channels , 2001 .

[59]  Comments on “initialization, error and flux conservation in the doubling method” , 1977 .

[60]  Siamak Noroozi,et al.  The Application of a Hybrid Inverse Boundary Element Problem Engine for the Solution of Potential Problems , 2006 .

[61]  Patrick J. Burns,et al.  PERFORMANCE, ACCURACY, AND CONVERGENCE IN A THREE-DIMENSIONAL MONTE CARLO RADIATIVE HEAT TRANSFER SIMULATION , 1991 .

[62]  C. K. Thornhill,et al.  Part IV. An experimental study of the collapse of liquid columns on a rigid horizontal plane , 1952, Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences.

[63]  J. Hadamard,et al.  Lectures on Cauchy's Problem in Linear Partial Differential Equations , 1924 .

[64]  Zhixiong Guo,et al.  ULTRAFAST RADIATION HEAT TRANSFER IN LASER TISSUE WELDING AND SOLDERING , 2004 .

[65]  W. Fiveland Discrete-Ordinates Solutions of the Radiative Transport Equation for Rectangular Enclosures , 1984 .

[66]  D. Kershaw The incomplete Cholesky—conjugate gradient method for the iterative solution of systems of linear equations , 1978 .

[67]  Pascal Boulet,et al.  On the finite volume method and the discrete ordinates method regarding radiative heat transfer in acute forward anisotropic scattering media , 2007 .

[68]  Vladimir P. Solovjov,et al.  An Efficient Method for Modeling Radiative Transfer in Multicomponent Gas Mixtures With Soot , 2001 .

[69]  L. Marin The Method of Fundamental Solutions for Inverse Problems Associated with the Steady-State Heat Conduction in the Presence of Sources , 2008 .

[70]  Chein-Shan Liu A Lie-group shooting method for reconstructing a past time-dependent heat source , 2012 .

[71]  Yeng-Yung Tsui,et al.  Heat Transfer Enhancement by Multilobe Vortex Generators: Effects of Lobe Parameters , 2000 .

[72]  Morgan Williams The solution of the two-dimensional incompressible flow equations on unstructured triangular meshes , 1993 .

[73]  D. Rockwell,et al.  On vortex formation from a cylinder. Part 2. Control by splitter-plate interference , 1988, Journal of Fluid Mechanics.

[74]  Michael I. Mishchenko,et al.  Bidirectional Reflectance of Flat, Optically Thick Particulate Layers: An Efficient Radiative Transfer Solution and Applications to Snow and Soil Surfaces , 1999 .

[75]  Kyunghan Kim,et al.  Bio-heat transfer analysis during short pulse laser irradiation of tissues , 2008 .

[76]  S. Rida,et al.  A staggered control volume scheme for unstructured triangular grids , 1997 .

[77]  B. Wilson,et al.  Monte Carlo modeling of light propagation in highly scattering tissues. I. Model predictions and comparison with diffusion theory , 1989, IEEE Transactions on Biomedical Engineering.

[78]  Yeng-Yung Tsui,et al.  Use of Characteristic-Based Flux Limiters in a Pressure-Based Unstructured-Grid Algorithm Incorporating High-Resolution Schemes , 2009 .

[79]  Alireza Haghighat,et al.  DEVELOPMENT OF NEW QUADRATURE SETS WITH THE "ORDINATE SPLITTING" TECHNIQUE , 2001 .

[80]  Haeok S. Lee,et al.  Scaled Isotropic Results for Two-Dimensional Anisotropic Scattering Media , 1990 .

[81]  Yeng-Yung Tsui,et al.  Flux-blending schemes for interface capture in two-fluid flows , 2009 .

[82]  U. Ghia,et al.  High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method , 1982 .

[83]  Shigenao Maruyama,et al.  Radiative heat transfer in inhomogeneous, nongray, and anisotropically scattering media , 2000 .

[84]  G. Tryggvason,et al.  A front-tracking method for viscous, incompressible, multi-fluid flows , 1992 .

[85]  J. Cannon,et al.  Structural identification of an unknown source term in a heat equation , 1998 .

[86]  Chein-Shan Liu,et al.  An effectively modified direct Trefftz method for 2D potential problems considering the domain's characteristic length. , 2007 .

[87]  Weichung Yeih,et al.  A Three-Point BVP of Time-Dependent Inverse Heat Source Problems and Solving by a TSLGSM , 2009 .

[88]  Yeng-Yung Tsui,et al.  A Pressure-Based Unstructured-Grid Algorithm Using High-Resolution Schemes for All-Speed Flows , 2008 .

[89]  USE OF DISCRETE-ORDINATES METHODS FOR SOLUTION OF PHOTON PROBLEMS , 1966 .

[90]  Hrvoje Jasak,et al.  Application of the finite volume method and unstructured meshes to linear elasticity , 2000 .

[91]  Haw Long Lee,et al.  A Nonlinear Inverse Problem in Estimating the Heat Generation in Rotary Friction Welding , 2011 .

[92]  S. Acharya,et al.  Dynamics, NOx and flashback characteristics of confined premixed hydrogen-enriched methane flames , 2009 .

[94]  S. Patankar Numerical Heat Transfer and Fluid Flow , 2018, Lecture Notes in Mechanical Engineering.

[95]  Marián Slodicka,et al.  An analysis of inverse source problems with final time measured output data for the heat conduction equation: A semigroup approach , 2013, Appl. Math. Lett..

[96]  E. G. SAVATEEV,et al.  On problems of determining the source function in a parabolic equation , 1995 .

[97]  Koulis Pericleous,et al.  Dynamic fluid–structure interaction using finite volume unstructured mesh procedures , 2002 .

[98]  S. Osher,et al.  An improved level set method for incompressible two-phase flows , 1998 .

[99]  P. N. Vabishchevich,et al.  Numerical solution of the inverse problem of reconstructing a distributed right-hand side of a parabolic equation , 2000 .

[100]  J. P. Jessee,et al.  Bounded, High-Resolution Differencing Schemes Applied to the Discrete Ordinates Method , 1997 .

[101]  Suhas V. Patankar,et al.  Improved Treatment of Scattering Using the Discrete Ordinates Method , 1994 .

[102]  Daniel Lesnic,et al.  The boundary-element method for the determination of a heat source dependent on one variable , 2006 .

[103]  S. Maruyama,et al.  Scaling anisotropic scattering in radiative transfer in three-dimensional nonhomogeneous media , 1999 .

[104]  M. Jensen,et al.  COMBINED CONVECTION AND RADIATION IN SIMULTANEOUSLY DEVELOPING FLOW AND HEAT TRANSFER WITH NONGRAY GAS MIXTURES , 1994 .

[105]  Fan Yang,et al.  The revised generalized Tikhonov regularization for the inverse time-dependent heat source problem , 2013 .

[106]  Kyunghan Kim,et al.  Multi-time-scale heat transfer modeling of turbid tissues exposed to short-pulsed irradiations , 2007, Comput. Methods Programs Biomed..

[107]  J. Sethian,et al.  Fronts propagating with curvature-dependent speed: algorithms based on Hamilton-Jacobi formulations , 1988 .

[108]  Chein-Shan Liu A Modified Trefftz Method for Two-Dimensional Laplace Equation Considering the Domain's Characteristic Length , 2007 .

[109]  Acute anisotropic scattering in a medium under collimated irradiation , 2011 .

[110]  B. Wilson,et al.  A Monte Carlo model for the absorption and flux distributions of light in tissue. , 1983, Medical physics.

[111]  K. D. Lathrop USE OF DISCRETE ORDINATES METHODS FOR SOLUTION OF PHOTON TRANSPORT PROBLEMS , 1966 .

[112]  SOLUTION OF AN INVERSE PARABOLIC PROBLEM WITH UNKNOWN SOURCE-FUNCTION AND NONCONSTANT DIFFUSIVITY VIA THE INTEGRAL EQUATION METHODS , 2000 .

[113]  S Kumar,et al.  Development and comparison of models for light-pulse transport through scattering-absorbing media. , 1999, Applied optics.

[114]  Yong Zhao,et al.  A 3D implicit unstructured-grid finite volume method for structural dynamics , 2007 .

[115]  Zhixiong Guo,et al.  Monte Carlo simulation and experiments of pulsed radiative transfer , 2002 .

[116]  Cheng-Hung Huang,et al.  An Inverse Problem in Estimating Simultaneously the Time-Dependent Applied Force and Moment of an Euler-Bernoulli Beam , 2007 .

[117]  Shigenao Maruyama,et al.  Combined heat transfer in floating zone growth of large silicon crystals with radiation on diffuse and specular surfaces , 1998 .

[118]  Mohamed S. Gadala,et al.  A Modified Sequential Particle Swarm Optimization Algorithm with Future Time Data for Solving Transient Inverse Heat Conduction Problems , 2011 .

[119]  R. Fletcher Conjugate gradient methods for indefinite systems , 1976 .

[120]  S. Muzaferija,et al.  Finite volume method for stress analysis in complex domains , 1994 .

[121]  J. Cavendish,et al.  A complementary volume approach for modelling three‐dimensional Navier—Stokes equations using dual delaunay/voronoi tessellations , 1994 .

[122]  Liu Yang,et al.  Reconstruction of a space and time dependent heat source from finite measurement data , 2012 .

[123]  Vital Le Dez,et al.  Comparison of three discrete ordinates methods applied to two-dimensional curved geometries , 2003 .

[124]  M. Yousuf,et al.  Solution of the Initial Inverse Problems in the Heat Equation Using the Finite Difference Method with Positivity-Preserving Padé Schemes , 2010 .

[125]  C. Rhie,et al.  Numerical Study of the Turbulent Flow Past an Airfoil with Trailing Edge Separation , 1983 .

[126]  S. Tsangaris,et al.  Fractional step method for solution of incompressible Navier‐Stokes equations on unstructured triangular meshes , 1995 .

[127]  B. Hunter,et al.  Phase-Function Normalization in the 3-D Discrete-Ordinates Solution of Radiative Transfer—PART I: Conservation of Scattered Energy and Asymmetry Factor , 2012 .

[128]  Jin Wen A meshless method for reconstructing the heat source and partial initial temperature in heat conduction , 2011 .

[129]  R. I. Issa,et al.  A Method for Capturing Sharp Fluid Interfaces on Arbitrary Meshes , 1999 .

[130]  Tae-Kuk Kim,et al.  Effect of anisotropic scattering on radiative heat transfer in two-dimensional rectangular enclosures , 1988 .

[131]  M. Leschziner,et al.  A PRESSURE-CORRECTION METHOD FOR THE SOLUTION OF INCOMPRESSIBLE VISCOUS FLOWS ON UNSTRUCTURED GRIDS , 1996 .

[132]  A. Jameson Time dependent calculations using multigrid, with applications to unsteady flows past airfoils and wings , 1991 .

[133]  M. Rudman INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, VOL. 24, 671–691 (1997) VOLUME-TRACKING METHODS FOR INTERFACIAL FLOW CALCULATIONS , 2022 .

[134]  G. Stolz Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes , 1960 .

[135]  B. Hunter,et al.  Reduction of angle splitting and computational time for the finite volume method in radiative transfer analysis via phase function normalization , 2012 .

[136]  Kang Y. Huh,et al.  A new angular discretization scheme of the finite volume method for 3-D radiative heat transfer in absorbing, emitting and anisotropically scattering media , 2000 .

[137]  S. Kumar,et al.  Equivalent isotropic scattering formulation for transient short-pulse radiative transfer in anisotropic scattering planar media. , 2000, Applied optics.

[138]  Zhixiong Guo,et al.  A New and Simple Technique to Normalize the HG Phase Function for Conserving Scattered Energy and Asymmetry Factor , 2014 .

[139]  E. Puckett,et al.  Second-Order Accurate Volume-of-Fluid Algorithms for Tracking Material Interfaces , 2013 .

[140]  W. A. Fiveland,et al.  Three-dimensional radiative heat-transfer solutions by the discrete-ordinates method , 1988 .

[141]  C. Peskin Numerical analysis of blood flow in the heart , 1977 .

[142]  B. P. Leonard,et al.  A stable and accurate convective modelling procedure based on quadratic upstream interpolation , 1990 .

[143]  CALCULATIONS OF INCOMPRESSIBLE FLOW ON A STAGGERED TRIANGULAR GRID, PART I: MATHEMATICAL FORMULATION , 1995 .

[144]  Zhixiong Guo,et al.  Three-Dimensional Discrete Ordinates Method in Transient Radiative Transfer , 2002 .

[145]  Zhixiong Guo,et al.  Noninvasive detection of inhomogeneities in turbid media with time-resolved log-slope analysis , 2004 .

[146]  Mark Sussman,et al.  An Efficient, Interface-Preserving Level Set Redistancing Algorithm and Its Application to Interfacial Incompressible Fluid Flow , 1999, SIAM J. Sci. Comput..

[147]  M. Pinar Mengüç,et al.  Thermal Radiation Heat Transfer , 2020 .

[148]  Masahiro Yamamoto,et al.  Carleman estimates and an inverse heat source problem for the thermoelasticity system , 2011 .

[149]  I. Demirdzic,et al.  Numerical method for coupled fluid flow, heat transfer and stress analysis using unstructured moving meshes with cells of arbitrary topology , 1995 .