Advanced numerical simulation of heat transfer problems

We describe two kinds of practical numerical techniques for heat transfer problems. One is a parallel large eddy simulation technique with heat transfer using tetrahedral finite elements and the other is the Voxel method using a uniform grid combined with the discrete element method for liquid-solid two-phase flow problems. These two approaches are taken to be the candidates for the practical use of large-scale heat transfer analysis for various kinds of problems. The former can reduce the overall computing time in performing a large-scale heat transfer analysis through the combined use of an automatic mesh generation software, and the latter is very useful and efficient to analyse a complicated heat transfer phenomena such as a liquid-solid two-phase flow in a fluidized bed

[1]  G. D. Davis.  Natural convection of air in a square cavity: A bench mark numerical solution , 1983 .

[2]  T. B. Anderson,et al.  Fluid Mechanical Description of Fluidized Beds. Equations of Motion , 1967 .

[3]  Yutaka Tsuji,et al.  Numerical simulation of two-dimensional fluidized beds using the discrete element method (comparison between the two- and three-dimensional models) , 1998 .

[4]  Robert L. Lee,et al.  A MODIFIED FINITE ELEMENT METHOD FOR SOLVING THE TIME-DEPENDENT, INCOMPRESSIBLE NAVIER-STOKES EQUATIONS. PART 1: THEORY* , 1984 .

[5]  Tayfun E. Tezduyar,et al.  PARALLEL COMPUTATION OF INCOMPRESSIBLE FLOWS WITH COMPLEX GEOMETRIES , 1997 .

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

[7]  Charbel Farhat,et al.  Automatic partitioning of unstructured meshes for the parallel solution of problems in computational mechanics , 1993 .

[8]  Tayfun E. Tezduyar,et al.  Simulation of multiple spheres falling in a liquid-filled tube , 1996 .

[9]  S. Giuliani,et al.  Finite element solution of the unsteady Navier-Stokes equations by a fractional step method , 1982 .

[10]  P. Cundall,et al.  A discrete numerical model for granular assemblies , 1979 .

[11]  P. LeQuéré,et al.  Accurate solutions to the square thermally driven cavity at high Rayleigh number , 1991 .

[12]  K. Anastasiou,et al.  AN AUTOMATIC TETRAHEDRAL MESH GENERATION SCHEME BY THE ADVANCING FRONT METHOD , 1997 .

[13]  Tayfun E. Tezduyar,et al.  Advanced mesh generation and update methods for 3D flow simulations , 1999 .

[14]  Tayfun E. Tezduyar,et al.  Methods for 3D computation of fluid-object interactions in spatially periodic flows , 2001 .

[15]  C. C. Pain,et al.  Heat transfer models for gas-solid fluidized beds with internals , 2001 .