A Runge-Kutta Discontinuous-Galerkin Level-Set Method for Unsteady Compressible Two-Fluid Flow

A Runge-Kutta Discontinuous-Galerkin Level-Set Method for Unsteady Compressible Two-Fluid Flow

Naber, J.
Koren, B.

Aerospace Engineering

2006-09-08

In this work a numerical method for the solution of the two-dimensional Euler equations describing unsteady compressible two-fluid flow is presented. The method is based on the combination of a Runge-Kutta discontinuous Galerkin discretization of the Euler equations and a level-set method for the treatment of the two-fluid interface. The corresponding level-set equation is used in its advective form which, as opposed to the frequently used conservative form, does not generate an erroneous off-set in the interface location. A simple fix is applied to prevent the solution from becoming oscillatory near the two-fluid interface. Application of this fix requires the development of a special two-fluid slope limiter for the discontinuous Galerkin method. Numerical results show the competence of the developed method.

two-fluid flow
level-set method
discontinuous-Galerkin
slope limiters

http://resolver.tudelft.nl/uuid:e4b27583-6749-4c44-8624-b7b234779451

Delft University of Technology; European Community on Computational Methods in Applied Sciences (ECCOMAS)

90-9020970-0

ECCOMAS CFD 2006: Proceedings of the European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands, September 5-8, 2006

Institutional Repository

conference paper

(c) 2006 The Author(s)