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Articles

A finite volume procedure for fluid flow, heat transfer and solid-body stress analysis

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References

  • M. A. Wheel, “A Mixed Finite Volume Formulation for Determining the Small Strain Deformation of Incompressible Materials,” International Journal for Numerical Methods in Engineering, vol. 44 (12), pp. 1843–1861, 1999.
  • M. A. Wheel, “A Geometrically Versatile Finite Volume Formulation for Plane Elastostatic Stress Analysis,” Journal of Strain Analysis for Engineering Design, vol. 31 (2), pp. 111–116, 1996.
  • C. J. Greenshields, G. P. Venizelos, and A. Ivankovic, “A Fluid-Structure Model for Fast Brittle Fracture in Plastic Pipes,” Journal of Fluids and Structures, vol. 14 (2), pp. 221–234, 2000.
  • M. Schafer, I. Teschauer, L. Kadinski, and M. Selder, “A Numerical Approach for the Solution of Coupled Fluid-Solid and Thermal Stress Problems in Crystal Growth Processes,” Computational Materials Science, vol. 24 (3), pp. 409–419, 2002.
  • I. Demirdzic, and S. Muzaferija, “Finite-Volume Method for Stress-Analysis in Complex Domains,” International Journal for Numerical Methods in Engineering, vol. 37 (21), pp. 3751–3766, 1994.
  • I. Demirdzic, and S. Muzaferija, and M. Peric, “Benchmark Solutions of Some Structural Analysis Problems Using Finite-Volume Method and Multigrid Acceleration,” International Journal for Numerical Methods in Engineering, vol. 40 (10), pp. 1893–1908, 1997.
  • H. Jasak, and H. G. Weller, “Application of the Finite Volume Method and Unstructured Meshes to Linear Elasticity,” International Journal for Numerical Methods in Engineering, vol. 48 (2), pp. 267–287, 2000.
  • I. Demirdzic, and S. Muzaferija, “Numerical-Method for Coupled Fluid-Flow, Heat-Transfer and Stress-Analysis using Unstructured Moving Meshes with Cells of Arbitrary Topology,” Computer Methods in Applied Mechanics and Engineering, vol. 125, pp. 235–255, 1995.
  • I. Demirdzic, S. Muzaferija, and M. Peric, “Advances in Computational Heat Transfer, Fluid Flow, and Solid Body Deformation using Finite Volume Approaches,” in W. J. Minkowycs, and E. M. Sparrow, Advances in Numerical Heat Transfer, vol. 1, pp. 59–96, Taylor & Francis, 1997.
  • D. J. Mavriplis, “Revisiting the least-squares procedure for gradient reconstruction on unstructured meshes,” 16th AIAA Computational Fluid Dynamics Conference, Orlando, Florida 23–26 June 2003, pp. 1399–1411..
  • S. R. Mathur, and J. Y. Murthy, “A Pressure-Based Method for Unstructured Meshes,” Numerical Heat Transfer, Part B: Fundamentals, vol. 31 (2), pp. 195–215, 1997.
  • S. Das, S. R. Mathur, and J. Y. Murthy, “An unstructured finite-volume method for structure-electrostatics interactions in MEMS,” Numerical Heat Transfer, Part B: Fundamentals, vol. 60 (6), pp. 425–451, 2011.
  • L. Davidson, “A pressure correction method for unstructured meshes with arbitrary control volumes,” International Journal for Numerical Methods in Fluids, vol. 22 (4), pp. 265–281, 1996.
  • A. Dalal, V. Eswaran, and G. Biswas, “A finite-volume method for Navier-Stokes equations on unstructured meshes,” Numerical Heat Transfer, Part B: Fundamentals, vol. 54 (3), pp. 238–259, 2008.
  • P. Traore, Y. M. Ahopo, and C. Louste, “A robust and efficient finite volume scheme for the discretization of diffusive flux on extremely skewed meshes in complex geometries,” J. Comput. Phys., vol. 228, pp. 5148–5159, 2009.
  • S. C. Xue, and G. W. Barton, “A finite volume formulation for transient convection and diffusion equations with unstructured distorted grids and its applications in fluid flow simulations with a collocated variable arrangement,” Comput. Meth. Appl. Mech. Eng., vol. 253, pp. 146–159, 2012.
  • A. W. Date, “Solution of Transport Equations on Unstructured Meshes with Cell-Centered Colocated Variables. Part I: Discretization,” International Journal of Heat and Mass Transfer, vol. 48 (6), 1117–1127, 2005.
  • C. Michler, S. J. Hulshoff, E. H. van Brummelen, and R. de Borst, “A Monolithic Approach to Fluid-Structure Interaction,” Computers and Fluids, vol. 33, pp. 839–848, 2004.
  • A. W. Date, “Fluid Dynamical View of Pressure Checkerboarding Problem and Smoothing Pressure Correction on Meshes with Colocated Variables,” International Journal of Heat and Mass Transfer, vol. 46, pp. 4885–4898, 2003.
  • S. V. Patankar, Numerical Heat Transfer and Fluid Flow, Taylor Francis, Boca Raton, Florida, USA, 1980.
  • M. H. Sadd, Elasticity:Theory, Applications, And Numerics, 2nd ed., Academic Press, Burlington, MA, 2009.
  • T. H. Kuehn, and R. J. Goldstein, “Experimental and Theoretical-Study of Natural-Convection in Annulus Between Horizontal Concentric Cylinders,” Journal of Fluid Mechanics, vol. 74, pp. 695–719, 1976.
  • K. C. Karki, K. M. Kelkar, P. S. Sathyamurthy, and S. V. Patankar, “Accurate Solutions for Laminar Flow and Heat Transfer in a Channel with a Backward-Facing Step, in American Society of Mechanical Engineers,” Heat Transfer Division, (Publication) HTD, vol. 222, pp. 35–43, 1992.
  • B. N. Jiang, T. L. Lin, and L. A. Povinelli, “Large-Scale Computation of Incompressible Viscous-Flow by Least-Squares Finite-Element Method,” Computer Methods in Applied Mechanics and Engineering, vol. 114, pp. 213–231, 1994.
  • S. Timoshenko, and J. N. Goodier, Theory of Elasticity, 2nd ed., McGraw-Hill Book Company Inc., New York, 1951.
  • B. A. Boley, and J. H. Weiner, Theory of Thermal Stresses, John Wiley and Sons Inc., New York, 1962.

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