Adaptive finite element methods for the analysis of inviscid compressible flow: Part I. Fast refinement/unrefinement and moving mesh methods for unstructured meshes Academic Article uri icon


  • New adaptive finite element methods are presented for the analysis of unsteady inviscid compressible flow in arbitrary two-dimensional domains. The procedures described herein are used in conjunction with a semi-explicit two-step algorithm for solving the time-dependent Euler equations in two space dimensions. Two schemes are presented for monitoring the evolution of error, and error estimates are used as a basis for a mesh refinement strategy. The capability of unrefinement (adaptively coarsening the mesh) is also included. The methods do not require a structured mesh and are applicable to quite general geometries. © 1986.

published proceedings

  • Computer Methods in Applied Mechanics and Engineering

author list (cited authors)

  • Oden, J. T., Strouboulis, T., & Devloo, P

citation count

  • 92

complete list of authors

  • Oden, JT||Strouboulis, T||Devloo, P

publication date

  • December 1986