Godunov Methods pp 1007-1014 | Cite as

Solving Incompressible Two-Phase Flows with a Coupled TVD Interface Tracking / Local Mesh Refinement Method

  • S. Vincent
  • J-P. Caltagirone


A local multigrid refinement method, which is adaptative in time and space and which refines the grid at the cell scale, has been developed to solve the different scales of interfaces involved in two-phase flows. On each grid level, the Navier-Stokes equations are approximated by Finite Volumes on a MAC grid. Moreover, an advection equation on the phase function is solved by a Lax-Wendroff TVD scheme. Composite boundary conditions are proposed to solve the flow on multigrid calculation domains. Scalar problems and real flows such as Rayleigh-Taylor instabilities or bubble oscillations are presented.


Phase Function Coarse Grid Advection Equation Grid Level Interface Tracking 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • S. Vincent
    • 1
  • J-P. Caltagirone
    • 1
  1. 1.Laboratoire MASTER-ENSCPBBordeaux 1 UniversityTalenceFrance

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