Loading...

A finite-volume ELLAM for non-linear flux convection-diffusion problems

Fatehi, R ; Sharif University of Technology | 2009

303 Viewed
  1. Type of Document: Article
  2. DOI: 10.1016/j.ijnonlinmec.2008.10.001
  3. Publisher: 2009
  4. Abstract:
  5. In this paper, a modified finite-volume Eulerian-Lagrangian localized adjoint method (FVELLAM) extended for convection-diffusion problems with a non-linear flux function is introduced. Tracking schemes are discussed using viscous Burgers' equation. It is shown that in order to have smooth results, only the new time level values should be used in tracking process. Then, the proposed method is employed to study immiscible incompressible two-phase flows in porous media. Various one- and two-dimensional test cases involving internal sources and sinks are solved and accuracy of solution and performance of the method are investigated by comparing the results obtained using FVELLAM with those of fine grid solutions. Finally, it is concluded that although proposed FVELLAM produces satisfactory results even on coarse grids and allows fairly large time-steps, its major advantage is in solving convection-dominated problems in heterogeneous media. © 2008 Elsevier B.V. All rights reserved
  6. Keywords:
  7. Diffusion ; Fluid dynamics ; Heat convection ; Multiphase flow ; Porous materials ; Two phase flow ; Convection-diffusion ; ELLAM ; Finite-volume ; Non-linear flux ; Two-phase flow in porous media ; Diffusion in liquids
  8. Source: International Journal of Non-Linear Mechanics ; Volume 44, Issue 2 , 2009 , Pages 129-136 ; 00207462 (ISSN)
  9. URL: https://www.sciencedirect.com/science/article/abs/pii/S0020746208001789