The advantages of using mesh adaptivity when modelling the drainage of liquid in froths

Abstract A key factor in most computational fluid dynamics (CFD) techniques is the grid that contains the representation and connectivity of the elements into which the domain has been subdivided. Unstructured anisotropic meshes present benefits due to the fact that they are more easily adapted and allow higher resolution to be focused only where it is required, so the mesh can be optimised to adequately resolve local features occurring during the solution of the physical problem. This paper examines how transient simulations of the drainage of liquid in flotation froths can be benefited from using adaptive remeshing. Fluidity , a general purpose finite element method code capable of using anisotropic mesh adaptivity, is used to accurately resolve the boundary layers present at the liquid-foam interface as well as other strong gradients that can develop during the drainage process.

[1]  S. Eisenstat Efficient Implementation of a Class of Preconditioned Conjugate Gradient Methods , 1981 .

[2]  J. Cilliers,et al.  Prediction of the water distribution in a flowing foam , 2000 .

[3]  Yu. V. Vasilevskii,et al.  An adaptive algorithm for quasioptimal mesh generation , 1999 .

[4]  C.R.E. de Oliveira,et al.  Tetrahedral mesh optimisation and adaptivity for steady-state and transient finite element calculations , 2001 .

[5]  Y. Saad,et al.  GMRES: a generalized minimal residual algorithm for solving nonsymmetric linear systems , 1986 .

[6]  C C Pain,et al.  Anisotropic mesh adaptivity for multi-scale ocean modelling , 2009, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[7]  Stephen J. Neethling,et al.  Simple relationships for predicting the recovery of liquid from flowing foams and froths , 2003 .

[8]  C.R.E. de Oliveira,et al.  Three-dimensional unstructured mesh ocean modelling , 2005 .

[9]  Patrick E. Farrell,et al.  Galerkin projection of discrete fields via supermesh construction , 2009 .

[10]  Denis Weaire,et al.  The foam drainage equation , 1996 .

[11]  Christopher C. Pain,et al.  A new computational framework for multi‐scale ocean modelling based on adapting unstructured meshes , 2008 .

[12]  Stephen J. Neethling,et al.  Solids motion in flowing froths , 2002 .

[13]  D. Reinelt,et al.  The Structure of Random Foam , 2006 .

[14]  Robert Lemlich,et al.  A study of interstitial liquid flow in foam. Part I. Theoretical model and application to foam fractionation , 1965 .