Development of Efficient Interface Sharpening Procedure for Viscous Incompressible Flows
Volume 19, Issue 4 (2008), pp. 487–504
Pub. online: 1 January 2008
Type: Research Article
Received
1 November 2007
1 November 2007
Accepted
1 April 2008
1 April 2008
Published
1 January 2008
1 January 2008
Abstract
The paper describes the development of the efficient interface sharpening procedure for viscous incompressible flows governed by the Navier–Stokes equations. The moving interface has been captured by a pseudo-concentration method. The solution domain has been discretised by the space-time finite elements, while numerical schemes have been stabilised by the Galerkin least squares method. The dam break problem including breaking waves has been solved in order to validate the performance of the numerical technique. The computed position of the leading edge of water column has been compared with the experimental measurements. The detailed investigation of numerical parameters governing the sharpness of the front and mass conservation has been presented.