Papers
Topics
Authors
Recent
Gemini 2.5 Flash
Gemini 2.5 Flash
144 tokens/sec
GPT-4o
7 tokens/sec
Gemini 2.5 Pro Pro
45 tokens/sec
o3 Pro
4 tokens/sec
GPT-4.1 Pro
38 tokens/sec
DeepSeek R1 via Azure Pro
28 tokens/sec
2000 character limit reached

Segment-Based Wall Treatment Model for Heat Transfer Rate in Smoothed Particle Hydrodynamics (2311.14890v1)

Published 25 Nov 2023 in physics.flu-dyn, cs.NA, math.NA, and physics.comp-ph

Abstract: In this study, a smoothed particle hydrodynamics (SPH) model that applies a segment-based boundary treatment is used to simulate natural convection. In a natural convection simulated using an SPH model, the wall boundary treatment is a major issue because accurate heat transfer from boundaries should be calculated. The boundary particle method, which models the boundary by placing multiple layers of particles on and behind the wall boundary, is the most widely used boundary treatment method. Although this method can impose accurate boundary conditions, boundary modeling for complex shapes is challenging and requires excessive computational costs depending on the boundary shape. In this study, we utilize a segment-based boundary treatment method to model the wall boundary and apply this method to the energy conservation equation for the wall heat transfer model. The proposed method solves the problems arising from the use of boundary particles and simultaneously provides accurate heat transfer calculation results for the wall. In various numerical examples, the proposed method is verified through a comparison with available experimental results, SPH results using the boundary particle method, and finite volume method (FVM) results.

Definition Search Book Streamline Icon: https://streamlinehq.com
References (45)
  1. M. Schaub, M. Kriegel and S. Brandt “Experimental Investigation of Heat Transfer by Unsteady Natural Convection at a Vertical Flat Plate” In International Journal of Heat and Mass Transfer 136, 2019, pp. 1186–1198 DOI: 10.1016/j.ijheatmasstransfer.2019.03.089
  2. “Application of Artificial Neural Networks Using Sequential Prediction Approach in Indoor Airflow Prediction” In Journal of Building Engineering 69 Elsevier, 2023, pp. 106319 DOI: 10.1016/j.jobe.2023.106319
  3. “A High-Order Characteristics Upwind FV Method for Incompressible Flow and Heat Transfer Simulation on Unstructured Grids” In Computer Methods in Applied Mechanics and Engineering 190.5, 2000, pp. 733–756 DOI: 10.1016/S0045-7825(99)00443-0
  4. A.-N. Eiyad “Effects of Variable Viscosity and Thermal Conductivity of Al2O3–Water Nanofluid on Heat Transfer Enhancement in Natural Convection” In International Journal of Heat and Fluid Flow 30.4, 2009, pp. 679–690 DOI: 10.1016/j.ijheatfluidflow.2009.02.003
  5. “A multi-director continuum beam finite element for efficient analysis of multi-layer strand cables” In Computers & Structures 256 Elsevier, 2021, pp. 106621
  6. J. Kim and J. D. Park “The Non-Homogeneous Flow of a Thixotropic Fluid around a Sphere” In Applied Mathematical Modelling 82 Elsevier, 2020, pp. 848–866 DOI: 10.1016/j.apm.2020.02.009
  7. J. Kim “Adjoint-Based Sensitivity Analysis of Viscoelastic Fluids at a Low Deborah Number” In Applied Mathematical Modelling 115 Elsevier, 2023, pp. 453–469 DOI: 10.1016/j.apm.2022.10.044
  8. “High-Resolution High-Order Upwind Compact Scheme-Based Numerical Computation of Natural Convection Flows in a Square Cavity” In International Journal of Heat and Mass Transfer 98, 2016, pp. 313–328 DOI: 10.1016/j.ijheatmasstransfer.2016.03.032
  9. “A Study of LES–SGS Closure Models Applied to a Square Buoyant Cavity” In International Journal of Heat and Mass Transfer 98, 2016, pp. 164–175 DOI: 10.1016/j.ijheatmasstransfer.2016.02.057
  10. J. J. Monaghan “Simulating Free Surface Flows with SPH” In Journal of computational physics 110.2 Elsevier, 1994, pp. 399–406 DOI: 10.1006/jcph.1994.1034
  11. “Comparative Study of Standard WC-SPH and MPS Solvers for Free Surface Academic Problems” In International Journal of Offshore and Polar Engineering 26.03, 2016, pp. 235–243 DOI: 10.17736/ijope.2016.pf17
  12. “Numerical Simulations of Sloshing Flows with an Elastic Baffle Using a SPH-SPIM Coupled Method” In Applied Ocean Research 93, 2019, pp. 101950 DOI: 10.1016/j.apor.2019.101950
  13. G.-R. Liu and M. B. Liu “Smoothed Particle Hydrodynamics: A Meshfree Particle Method” World scientific, 2003
  14. “Smoothed Particle Hydrodynamics for Numerical Simulation of Underwater Explosion” In Computational Mechanics 30.2, 2003, pp. 106–118 DOI: 10.1007/s00466-002-0371-6
  15. M. B. Liu and G. R. Liu “Smoothed Particle Hydrodynamics (SPH): An Overview and Recent Developments” In Archives of Computational Methods in Engineering 17.1, 2010, pp. 25–76 DOI: 10.1007/s11831-010-9040-7
  16. M. Liu, J. R. Shao and J. Z. Chang “On the Treatment of Solid Boundary in Smoothed Particle Hydrodynamics” In Science China Technological Sciences 55 Springer, 2012, pp. 244–254 DOI: 10.1007/s11431-011-4663-y
  17. P. W. Cleary “Modelling Confined Multi-Material Heat and Mass Flows Using SPH” In Applied Mathematical Modelling 22.12, 1998, pp. 981–993 DOI: 10.1016/S0307-904X(98)10031-8
  18. K. Szewc, P. J. and A. Tanière “Modeling of Natural Convection with Smoothed Particle Hydrodynamics: Non-Boussinesq Formulation” In International Journal of Heat and Mass Transfer 54.23, 2011, pp. 4807–4816 DOI: 10.1016/j.ijheatmasstransfer.2011.06.034
  19. “Numerical Study of Natural Convection in a Horizontal Concentric Annulus Using Smoothed Particle Hydrodynamics” In Engineering Analysis with Boundary Elements 102, 2019, pp. 11–20 DOI: 10.1016/j.enganabound.2019.02.007
  20. “Assessment of Smoothed Particle Hydrodynamics (SPH) Models for Predicting Wall Heat Transfer Rate at Complex Boundary” In Engineering Analysis with Boundary Elements 111, 2020, pp. 195–205 DOI: 10.1016/j.enganabound.2019.10.017
  21. “An Improved High-Order ISPH Method for Simulation of Free-Surface Flows and Convection Heat Transfer” In Powder Technology 376, 2020, pp. 668–696 DOI: 10.1016/j.powtec.2020.08.074
  22. “Simulating Natural Convection with High Rayleigh Numbers Using the Smoothed Particle Hydrodynamics Method” In International Journal of Heat and Mass Transfer 166, 2021, pp. 120758 DOI: 10.1016/j.ijheatmasstransfer.2020.120758
  23. “Variational and Momentum Preservation Aspects of Smooth Particle Hydrodynamic Formulations” In Computer Methods in Applied Mechanics and Engineering 180.1-2, 1999, pp. 97–115 DOI: 10.1016/S0045-7825(99)00051-1
  24. J. Feldman and J.Bonet “Dynamic Refinement and Boundary Contact Forces in SPH with Applications in Fluid Flow Problems” In International Journal for Numerical Methods in Engineering 72.3 Wiley Online Library, 2007, pp. 295–324 DOI: 10.1002/nme.2010
  25. “Unified Semi-Analytical Wall Boundary Conditions Applied to 2-D Incompressible SPH” In Journal of Computational Physics 261 Elsevier, 2014, pp. 106–129 DOI: 10.1016/j.jcp.2013.12.035
  26. “A Variational Formulation Based Contact Algorithm for Rigid Boundaries in Two-Dimensional SPH Applications” In Computational Mechanics 33 Springer, 2004, pp. 316–325 DOI: 10.1007/s00466-003-0534-0
  27. “Unified Semi-Analytical Wall Boundary Conditions for Inviscid, Laminar or Turbulent Flows in the Meshless SPH Method” In International Journal for Numerical Methods in Fluids 71.4 Wiley Online Library, 2013, pp. 446–472 DOI: 10.1002/fld.3666
  28. “Unified Semi-Analytical Wall Boundary Conditions in SPH: Analytical Extension to 3-D” In Numerical Algorithms 68 Springer, 2015, pp. 15–34 DOI: 10.1007/s11075-014-9835-y
  29. “Semi-Analytical Smoothed-Particle Hydrodynamics Correction Factors for Polynomial Kernels and Piecewise-Planar Boundaries” In International Journal for Numerical Methods in Engineering 122.24 Wiley Online Library, 2021, pp. 7271–7305 DOI: 10.1002/nme.6771
  30. H.-J. Park, H.-D. Seo and P.-S. Lee “Direct Imposition of the Wall Boundary Condition for Simulating Free Surface Flows in SPH” In Structural Engineering and Mechanics, An Int’l Journal 78.4, 2021, pp. 497–518 DOI: 10.12989/sem.2021.78.4.497
  31. R. J. Singh and T. B. Gohil “Numerical Analysis of Unsteady Natural Convection Flow and Heat Transfer in the Existence of Lorentz Force in Suddenly Expanded Cavity Using Open FOAM” In Journal of Thermal Science 29.6, 2020, pp. 1513–1530 DOI: 10.1007/s11630-020-1190-9
  32. “Modeling Heat Transfer Subject to Inhomogeneous Neumann Boundary Conditions by Smoothed Particle Hydrodynamics and Peridynamics” In International Journal of Heat and Mass Transfer 139, 2019, pp. 948–962 DOI: 10.1016/j.ijheatmasstransfer.2019.05.054
  33. X. Y. Hu and N. A. Adams “An Incompressible Multi-Phase SPH Method” In Journal of computational physics 227.1 Elsevier, 2007, pp. 264–278 DOI: 10.1016/j.jcp.2007.07.013
  34. J. P. Morris, P. J. Fox and Y. Zhu “Modeling Low Reynolds Number Incompressible Flows Using SPH” In Journal of computational physics 136.1 Elsevier, 1997, pp. 214–226 DOI: 10.1006/jcph.1997.5776
  35. “The δ𝛿\deltaitalic_δplus-SPH Model: Simple Procedures for a Further Improvement of the SPH Scheme” In Computer Methods in Applied Mechanics and Engineering 315 Elsevier, 2017, pp. 25–49 DOI: 10.1016/j.cma.2016.10.028
  36. “δ𝛿\deltaitalic_δ-SPH Model for Simulating Violent Impact Flows” In Computer Methods in Applied Mechanics and Engineering 200.13-16 Elsevier, 2011, pp. 1526–1542 DOI: 10.1016/j.cma.2010.12.016
  37. A. Zhang, P. Sun and F. Ming “An SPH Modeling of Bubble Rising and Coalescing in Three Dimensions” In Computer Methods in Applied Mechanics and Engineering 294 Elsevier, 2015, pp. 189–209 DOI: 10.1016/j.cma.2015.05.014
  38. “A New SPH-FEM Coupling Method for Fluid–Structure Interaction Using Segment-Based Interface Treatment” In Engineering with Computers, 2023 DOI: 10.1007/s00366-023-01856-1
  39. S. Adami, X. Y. Hu and N. A. Adams “A Generalized Wall Boundary Condition for Smoothed Particle Hydrodynamics” In Journal of Computational Physics 231.21, 2012, pp. 7057–7075 DOI: 10.1016/j.jcp.2012.05.005
  40. X. Y. Hu and N. A. Adams “A Multi-Phase SPH Method for Macroscopic and Mesoscopic Flows” In Journal of Computational Physics 213.2 Elsevier, 2006, pp. 844–861 DOI: 10.1016/j.jcp.2005.09.001
  41. “Incompressible Smoothed Particle Hydrodynamics for Free-Surface Flows: A Generalised Diffusion-Based Algorithm for Stability and Validations for Impulsive Flows and Propagating Waves” In Journal of Computational Physics 231.4, 2012, pp. 1499–1523 DOI: 10.1016/j.jcp.2011.10.027
  42. J. J. Monaghan “On the Problem of Penetration in Particle Methods” In Journal of Computational physics 82.1 Academic Press Professional, Inc. San Diego, CA, USA, 1989, pp. 1–15 DOI: 10.1016/0021-9991(89)90032-6
  43. De M. Carlos, A. Kubrusly and S. Carlos “The Courant–Friedrichs–Lewy (Cfl) Condition” In AMC 10.12 Springer, 2013
  44. T. H. Kuehn and R. J. Goldstein “An Experimental Study of Natural Convection Heat Transfer in Concentric and Eccentric Horizontal Cylindrical Annuli” In Journal of Heat Transfer 100.4, 1978, pp. 635–640 DOI: 10.1115/1.3450869
  45. “Modified Dynamic Boundary Conditions (mDBC) for General-Purpose Smoothed Particle Hydrodynamics (SPH): Application to Tank Sloshing, Dam Break and Fish Pass Problems” In Computational Particle Mechanics 9.5, 2022, pp. 1–15 DOI: 10.1007/s40571-021-00403-3

Summary

We haven't generated a summary for this paper yet.

Ai Sparkles Streamline Icon: https://streamlinehq.com Summarize Now