IMPLEMENTATION OF THE LAGRANGE-GALERKIN METHOD FOR THE INCOMPRESSIBLE NAVIER-STOKES EQUATIONS

This paper is concerned with the implementation of Lagrange-Galerkin finite element methods for the Navier-Stokes equations. A scheme is developed to efficiently handle unstructured meshes with local refinement, using a quad-tree-based algorithm for the geometric search. Several difficulties that arise in the construction of the right-hand side are discussed in detail and some useful tricks are proposed. The resulting method is tested on the lid-driven square cavity and the vortex shedding behind a rectangular cylinder and is found to give satisfactory agreement with previous works. A detailed analysis of the effect of time discretisation is included.

• Supplemental Notes:
  • Intl J Numerical Methods Fluids, v 15 n 1, 15 July 1992, p 23 [14 p, 15 ref, 2 tab, 13 fig]
• Authors:
  • Buscaglia, G C
  • Dari, E A
• Publication Date: 1992

Language

• English

Subject/Index Terms

• TRT Terms: Finite element method; Vortex shedding
• Uncontrolled Terms: Navier Stokes equations
• Subject Areas: Marine Transportation;

Filing Info

• Accession Number: 00703596
• Record Type: Publication
• Source Agency: British Maritime Technology
• Files: TRIS
• Created Date: Aug 14 1995 12:00AM