Numerical Simulation of Subcooled Nucleate Boiling by Coupling Level-Set Method with Moving-Mesh Method

A new numerical procedure coupling the level-set method with the moving-mesh method to simulate subcooled nucleate pool boiling is proposed. Numerical test problems have validated this new method. The simulation of bubble dynamics during nucleate boiling under liquid subcooling shows that this novel adaptive method is more accurate in determining interfacial heat transfer than a computational method based on uniform grids with the same number of mesh points.

[1]  J. E. Nydahl,et al.  Numerical Calculation of Bubble Growth in Nucleate Boiling From Inception Through Departure , 1989 .

[2]  Renwei Mei,et al.  Vapor bubble growth in heterogeneous boiling. I: Formulation , 1995 .

[3]  Robert D. Russell,et al.  Moving Mesh Strategy Based on a Gradient Flow Equation for Two-Dimensional Problems , 1998, SIAM J. Sci. Comput..

[4]  V. C. Patel,et al.  Numerical simulation of unsteady multidimensional free surface motions by level set method , 2003 .

[5]  J. Whitelaw,et al.  Convective heat and mass transfer , 1966 .

[6]  G. Son,et al.  Numerical simulation of melting of a horizontal substrate placed beneath a heavier liquid , 1998 .

[7]  G. Son.  A Numerical Method for Bubble Motion with Phase Change , 2001 .

[8]  Suhas V. Patankar,et al.  CALCULATION PROCEDURE FOR VISCOUS INCOMPRESSIBLE FLOWS IN COMPLEX GEOMETRIES , 1988 .

[9]  Jianliang Qian,et al.  Approximations for Viscosity Solutions of Hamilton-Jacobi Equations With Locally Varying Time and Space Grids , 2006, SIAM J. Numer. Anal..

[10]  Vijay K. Dhir,et al.  Shape of a vapor stem during nucleate boiling of saturated liquids , 1995 .

[11]  G. Son,et al.  Dynamics and Heat Transfer Associated With a Single Bubble During Nucleate Boiling on a Horizontal Surface , 1999 .

[12]  Alexei M. Khokhlov,et al.  Fully Threaded Tree Algorithms for Adaptive Refinement Fluid Dynamics Simulations , 1997, astro-ph/9701194.

[13]  Yoshiaki Oka,et al.  Direct calculation of bubble growth, departure, and rise in nucleate pool boiling , 2001 .

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

[15]  Gihun Son,et al.  EFFICIENT IMPLEMENTATION OF A COUPLED LEVEL-SET AND VOLUME-OF-FLUID METHOD FOR THREE-DIMENSIONAL INCOMPRESSIBLE TWO-PHASE FLOWS , 2003 .

[16]  Stanley Osher,et al.  Simplex free adaptive tree fast sweeping and evolution methods for solving level set equations in arbitrary dimension , 2006, J. Comput. Phys..

[17]  Vladimir Hlavacek,et al.  Numerical Solution of Free-Boundary Problems , 1996 .

[18]  J. Sethian,et al.  FRONTS PROPAGATING WITH CURVATURE DEPENDENT SPEED: ALGORITHMS BASED ON HAMILTON-JACOB1 FORMULATIONS , 2003 .

[19]  M. Berger,et al.  Adaptive mesh refinement for hyperbolic partial differential equations , 1982 .

[20]  Shingyu Leung,et al.  A level set based Eulerian method for paraxial multivalued traveltimes , 2004 .

[21]  Pingwen Zhang,et al.  An adaptive mesh redistribution method for nonlinear Hamilton--Jacobi equations in two-and three-dimensions , 2003 .

[22]  P. Colella,et al.  An Adaptive Level Set Approach for Incompressible Two-Phase Flows , 1997 .

[23]  J. Strain.  Tree Methods for Moving Interfaces , 1999 .

[24]  L. G. Leal,et al.  Numerical solution of free-boundary problems in fluid mechanics. Part 1. The finite-difference technique , 1984, Journal of Fluid Mechanics.

[25]  S. Welch.  Direct simulation of vapor bubble growth , 1998 .

[26]  Thomas Y. Hou,et al.  An efficient dynamically adaptive mesh for potentially singular solutions , 2001 .