Conservation correction by dual Level Set

Anne-Cecile Lesage
(Barcelona supercomputing center)
Alain Dervieux
(INRIA, BP93, 06902 Sophia-Antipolis, France)


INRIA Research Report #7089, 2009 (32 pages)

Abstract: When applied to the simulation of bi-fluid incompressible flow, the level set method does not ensure mass conservation of each fluid. Now this needs to be enforced. In this paper, we propose a complementary local mass conservation based on a weak formulation of the advection of the interface characteristic function. We first apply our method to the advection of a discontinuous concentration. Secondly, we couple our method with incompressible two-phase flow simulation and validate it on test cases where one fluid separates in disconnected parts (motion of two separated liquid volumes, water column falling on an obstacle).

Keywords: Computational Fluid Dynamics – finite volume – unstructured meshes – level set – interfaces

Full text (pdf)

@techreport{LD09,
  author = {Lesage, A.-C. and  Dervieux, A.},
  title = {Conservation correction by dual Level Set},
  institution = {INRIA},
  type = {Research Report},
  url = {http://hal.inria.fr/inria-00430191/en/},
  year = 2009
}