An efficient numerical algorithm to solve steady state heat conduction problems with local uncertainty

Authors: Guo, Xiaoqi, Yang, Haitian, He, Yiqian

Source: Engineering Analysis with Boundary Elements. 163:593-605

Subject Terms: Thermal effects in solid mechanics, computational efficiency, Boundary element methods applied to problems in thermodynamics and heat transfer, Finite element methods applied to problems in solid mechanics, scaled boundary element finite method, Diffusive and convective heat and mass transfer, heat flow, heat conduction, local uncertainty, Boundary element methods for boundary value problems involving PDEs, Woodbury formula

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The scaled boundary finite element method based on the hybrid quadtree mesh for solving transient heat conduction problems

Authors: Bo Yu, Albert A. Saputra, Pengmin Hu, Yan Gu

Source: Applied Mathematical Modelling. 89:541-571

Subject Terms: transient heat conduction problems, Boundary element methods for initial value and initial-boundary value problems involving PDEs, hybrid quadtree mesh, Boundary element methods applied to problems in thermodynamics and heat transfer, fiber inclusions, Diffusive and convective heat and mass transfer, heat flow, 0101 mathematics, 01 natural sciences, scaled boundary finite element method, crack problems

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Access URL: https://www.sciencedirect.com/science/article/pii/S0307904X20304005

Precision controllable Gaver–Wynn–Rho algorithm in Laplace transform triple reciprocity boundary element method for three dimensional transient heat conduction problems: Precision controllable Gaver-Wynn-Rho algorithm in Laplace transform triple reciprocity boundary element method for three dimensional transient heat conduction problems

Authors: Shuaiping Guo, Hongguang Li, Xinming Fan, Kuidong Gao

Source: Engineering Analysis with Boundary Elements. 114:166-177

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, Boundary element methods applied to problems in thermodynamics and heat transfer, 0103 physical sciences, transient heat conduction, Diffusive and convective heat and mass transfer, heat flow, precision controllable Gaver-Wynn-Rho, 0101 mathematics, triple reciprocity method, 01 natural sciences, boundary element method

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799720300552

An improved implementation of triple reciprocity boundary element method for three-dimensional steady state heat conduction problems

Authors: Shuaiping Guo, Xuejun Li, Jinliang Gu, Wang Wang, Qiqiang Wu

Source: Engineering Analysis with Boundary Elements. 107:1-11

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, steady state heat conduction, Diffusive and convective heat and mass transfer, heat flow, Boundary element methods for boundary value problems involving PDEs, 0101 mathematics, triple reciprocity method, 01 natural sciences, boundary element method

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Access URL: https://zbmath.org/7110370
https://doi.org/10.1016/j.enganabound.2019.06.013
https://www.sciencedirect.com/science/article/pii/S0955799719302449#!
https://www.sciencedirect.com/science/article/pii/S0955799719302449

Interpolating meshless local Petrov-Galerkin method for steady state heat conduction problem

Authors: Rituraj Singh, Krishna M. Singh

Source: Engineering Analysis with Boundary Elements. 101:56-66

Subject Terms: MLPG method, Boundary element methods applied to problems in thermodynamics and heat transfer, Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer, interpolating moving least squares method, Diffusive and convective heat and mass transfer, heat flow, heat conduction, Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs, 0101 mathematics, 01 natural sciences

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799718304740

A versatile immersed boundary method for high-fidelity simulation of Conjugate Heat Transfer: A versatile immersed boundary method for high-fidelity simulation of conjugate heat transfer

Authors: Rodrigo Vicente Cruz, Eric Lamballais

Source: Journal of Computational Physics. 488:112182

Subject Terms: Boundary element methods for initial value and initial-boundary value problems involving PDEs, immersed boundary method, Boundary element methods applied to problems in thermodynamics and heat transfer, Boundary element methods applied to problems in fluid mechanics, turbulent pipe flow, Direct numerical and large eddy simulation of turbulence, conjugate heat transfer, direct numerical simulation, Diffusive and convective heat and mass transfer, heat flow, thermal boundary conditions

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Access URL: https://zbmath.org/7696958
https://doi.org/10.1016/j.jcp.2023.112182

A combination of isogeometric technique and scaled boundary method for the solution of the steady-state heat transfer problems in arbitrary plane domain with Robin boundary

Authors: Bin Xu, Jun Liu, Pengchong Zhang, Peng Li, Gao Lin

Source: Engineering Analysis with Boundary Elements. 82:43-56

Subject Terms: isogeometric analysis, NURBS, Boundary element methods applied to problems in thermodynamics and heat transfer, Heat and mass transfer, heat flow, Boundary element methods for boundary value problems involving PDEs, complex boundary geometry, 0101 mathematics, heat transfer problems, 01 natural sciences, scaled boundary finite element method, Numerical computation using splines

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Access URL: https://zbmath.org/6915781
https://doi.org/10.1016/j.enganabound.2017.05.006
https://www.sciencedirect.com/science/article/pii/S0955799716302508

The transient heat conduction MPM and GIMP applied to isotropic materials

Authors: Chunying Dong, Gu Xiaodan, Y. Zhang, T. Cheng, Yang Bai

Source: Engineering Analysis with Boundary Elements. 66:155-167

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, isotropic materials, material point method, Heat and mass transfer, heat flow, transient heat conduction, generalized interpolation material point, Probabilistic methods, particle methods, etc. for initial value and initial-boundary value problems involving PDEs, 0101 mathematics, 7. Clean energy, 01 natural sciences

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Access URL: https://zbmath.org/6915226
https://doi.org/10.1016/j.enganabound.2016.02.009
https://www.sciencedirect.com/science/article/pii/S095579971630025X

Efficient monolithic immersed boundary projection method for incompressible flows with heat transfer

Authors: Tiantian Xu, Jung-Il Choi

Source: Journal of Computational Physics. 477:111929

Subject Terms: immersed boundary method, Boundary element methods applied to problems in thermodynamics and heat transfer, particle sedimentation, Free convection, 0103 physical sciences, staggered time discretization, heat transfers, 01 natural sciences, Stefan problems, phase changes, etc

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Access URL: https://zbmath.org/7652820
https://doi.org/10.1016/j.jcp.2023.111929

Multi-region heat conduction problems by boundary element method

Authors: AYDIN, MURAT, AYDIN, EMİNE DİLARA, ATALAY, MA

Source: International Journal of Heat and Mass Transfer. 47:1549-1553

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, multi-region, 4. Education, 0103 physical sciences, Heat and mass transfer, heat flow, heat conduction, 01 natural sciences, boundary element method

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Access URL: https://zbmath.org/2082998
https://doi.org/10.1016/j.ijheatmasstransfer.2003.03.002
https://www.sciencedirect.com/science/article/abs/pii/S0017931003005404
https://avesis.comu.edu.tr/publication/details/bc9b3cf4-1b96-4c03-b939-7b85be820894/oai
https://avesis.comu.edu.tr/publication/details/3d120178-0277-48ca-9d33-51b861da07a1/oai

Coupled BEM–FEM analysis of flow and heat transfer over a solar thermal collector: Coupled BEM-FEM analysis of flow and heat transfer over a solar thermal collector

Authors: M. Hriberšek, Leopold Škerget, Jure Ravnik

Source: Engineering Analysis with Boundary Elements. 45:20-28

Subject Terms: fluid flow, Direct numerical and large eddy simulation of turbulence, large eddy simulation, solar thermal collector, 7. Clean energy, 01 natural sciences, boundary element method, Boundary element methods for initial value and initial-boundary value problems involving PDEs, Boundary element methods applied to problems in thermodynamics and heat transfer, 5. Gender equality, Boundary element methods applied to problems in fluid mechanics, heat transfer, 0103 physical sciences, Heat and mass transfer, heat flow, velocity-vorticity, 0101 mathematics

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Access URL: https://www.sciencedirect.com/science/article/pii/S0955799714000319
http://www.sciencedirect.com/science/article/pii/S0955799714000319

Design sensitivity analysis and optimization of interface shape for zoned-inhomogeneous thermal conduction problems using boundary integral formulation

Authors: Boo Youn Lee

Source: Engineering Analysis with Boundary Elements. 34:825-833

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, Optimization problems in thermodynamics and heat transfer, shape optimization, zoned-inhomogeneous solids, Heat and mass transfer, heat flow, 0101 mathematics, shape design sensitivity analysis (SDSA), 01 natural sciences, thermal conduction, boundary element method

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Access URL: https://zbmath.org/6063972
https://doi.org/10.1016/j.enganabound.2010.05.009
https://www.sciencedirect.com/science/article/pii/S0955799710001232
https://isiarticles.com/bundles/Article/pre/pdf/26365.pdf
https://www.infona.pl/resource/bwmeta1.element.elsevier-edb7cac0-cb9c-37b5-8b20-179c3ca9753d
https://dialnet.unirioja.es/servlet/articulo?codigo=5553693

Some notes on the general boundary element method for highly nonlinear problems

Authors: Yongyan Wu, X.Y. Zhao, Shijun Liao

Source: Communications in Nonlinear Science and Numerical Simulation. 10:725-735

Subject Terms: Nonlinear partial differential equations, Homotopy analysis method, Boundary element methods applied to problems in thermodynamics and heat transfer, General boundary element method, Boundary element methods applied to problems in fluid mechanics, 0103 physical sciences, Heat and mass transfer, heat flow, 0101 mathematics, 01 natural sciences

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Access URL: https://www.sciencedirect.com/science/article/pii/S1007570404000632
https://ui.adsabs.harvard.edu/abs/2005CNSNS..10..725W/abstract

Boundary integral method for multispecies 1-D convection-diffusion-reaction problems

Authors: P.A. Ramachandran

Source: Computers & Mathematics with Applications. 49:1575-1583

Subject Terms: Numerical solution of boundary value problems involving ordinary differential equations, numerical examples, Nonlinear boundary value problems for ordinary differential equations, Finite element, Rayleigh-Ritz, Galerkin and collocation methods for ordinary differential equations, Boundary integral methods, Countercurrent heat exchangers, 02 engineering and technology, Weighting functions, 01 natural sciences, 7. Clean energy, Convection-dispersion models, 0104 chemical sciences, Nonlinear chemical reactions, Computational Mathematics, Boundary element methods applied to problems in thermodynamics and heat transfer, Computational Theory and Mathematics, Modelling and Simulation, Osculating polynomials, Inverse formulation, 0210 nano-technology, Chemically reacting flows, Heat and mass dispersion

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Access URL: https://www.mendeley.com/catalogue/9407ea3d-54ad-398e-a1bc-89e7b498b07b/
https://www.sciencedirect.com/science/article/pii/S0898122105001707

A time-stepping dual-reciprocity boundary element method for anisotropic heat diffusion subject to specification of energy

Authors: Whye-Teong Ang

Source: Applied Mathematics and Computation. 162:661-678

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, Heat diffusion, Heat equation, Specification of energy, 0103 physical sciences, Heat and mass transfer, heat flow, Numerical results, Boundary element method, 0101 mathematics, Dual-reciprocity method, 01 natural sciences, Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs

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Fundamental solutions for steady-state heat transfer in an exponentially graded anisotropic material

Authors: Leonard J. Gray, Vladislav Mantic, Paul A. Martin, John Berger

Source: Zeitschrift für angewandte Mathematik und Physik. 56:293-303

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, 0203 mechanical engineering, Heat and mass transfer, heat flow, Fundamental solutions to PDEs, Green's functions, heat conduction, 02 engineering and technology, 0101 mathematics, functionally graded materials, 01 natural sciences, 7. Clean energy

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Access URL: https://link.springer.com/article/10.1007/s00033-004-1131-6
http://ui.adsabs.harvard.edu/abs/2005ZaMP...56..293B/abstract
https://inside.mines.edu/~pamartin/ref-paps/R091_ZAMPw.pdf

The use of cyclic symmetry in EFG analysis for heat transfer problems

Authors: Haitian Yang, Ling Liu

Source: International Journal for Numerical Methods in Engineering. 62:937-951

Subject Terms: Other numerical methods (thermodynamics), Boundary element methods applied to problems in thermodynamics and heat transfer, 0203 mechanical engineering, Finite element, Galerkin and related methods applied to problems in thermodynamics and heat transfer, Heat and mass transfer, heat flow, 0211 other engineering and technologies, 02 engineering and technology, Galerkin method, heat transfer problem

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Access URL: https://zbmath.org/2236358
https://doi.org/10.1002/nme.1219
http://ui.adsabs.harvard.edu/abs/2005IJNME..62..937Y/abstract
https://onlinelibrary.wiley.com/doi/abs/10.1002/nme.1219

Starting solutions for the boundary immobilization method

Authors: J. Caldwell, Y. Y. Kwan

Source: Communications in Numerical Methods in Engineering. 21:289-295

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, boundary immobilization method, moving boundary problem, 0103 physical sciences, Stefan problem, 0101 mathematics, 01 natural sciences, Stefan problems, phase changes, etc

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Access URL: https://zbmath.org/2183966
https://doi.org/10.1002/cnm.747
https://onlinelibrary.wiley.com/doi/10.1002/cnm.747/abstract
https://onlinelibrary.wiley.com/doi/abs/10.1002/cnm.747

THE DETERMINATION OF THE UNKNOWN THERMAL PROPERTIES OF HOMOGENEOUS HEAT CONDUCTORS: The determination of the unknown thermal properties of homogeneous heat conductors

Authors: Daniel Lesnic

Source: International Journal of Computational Methods. :431-443

Subject Terms: Boundary element methods applied to problems in thermodynamics and heat transfer, Inverse problems in thermodynamics and heat transfer, thermal properties, inverse problem, 0101 mathematics, 7. Clean energy, 01 natural sciences, boundary element method

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Access URL: https://www.worldscientific.com/doi/abs/10.1142/S0219876204000228

A simplified approach for heat conduction analysis of CNT-based nano-composites

Authors: Toshiro Matsumoto, Masataka Tanaka, Jianming Zhang

Source: Computer Methods in Applied Mechanics and Engineering. 193:5597-5609

Subject Terms: Software, source code, etc. for problems pertaining to classical thermodynamics, Boundary element methods applied to problems in thermodynamics and heat transfer, Heat and mass transfer, heat flow, 0101 mathematics, 01 natural sciences

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Access URL: http://ui.adsabs.harvard.edu/abs/2004CMAME.193.5597Z/abstract
https://www.sciencedirect.com/science/article/pii/S0045782504002968
http://www.5acae.com/paper/Before2007/A%20simplified%20approach%20for%20heat%20conduction%20analysis%20of%20CNT-based%20nano-composites.pdf