A discontinuous Galerkin front tracking method for two-phase flows with surface tension

Journal Article · Sun Dec 28 04:00:00 EST 2008 · International Journal of Computational Fluid Dynamics

OSTI ID:946810

Nguyen, V -T; Peraire, J; Cheong, K B; Persson, P -O

A Discontinuous Galerkin method for solving hyperbolic systems of conservation laws involving interfaces is presented. The interfaces are represented by a collection of element boundaries and their position is updated using an arbitrary Lagrangian-Eulerian method. The motion of the interfaces and the numerical fluxes are obtained by solving a Riemann problem. As the interface is propagated, a simple and effective remeshing technique based on distance functions regenerates the grid to preserve its quality. Compared to other interface capturing techniques, the proposed approach avoids smearing of the jumps across the interface which leads to an improvement in accuracy. Numerical results are presented for several typical two-dimensional interface problems, including flows with surface tension.

• Research Organization: Ernest Orlando Lawrence Berkeley National Laboratory, Berkeley, CA (US)
• Sponsoring Organization: Computational Research Division
• DOE Contract Number: AC02-05CH11231
• OSTI ID: 946810
• Report Number(s): LBNL-1456E
• Journal Information: International Journal of Computational Fluid Dynamics, Journal Name: International Journal of Computational Fluid Dynamics
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
ACCURACY
CONSERVATION LAWS
SURFACE TENSION
TWO-PHASE FLOW