Nonlinear subgrid embedded Element-Free Galerkin method for monotone CFD solutions

S. Roy*, M. Fleming

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingChapter

3 Scopus citations


Achieving stable, accurate, monotone and efficient (SAME) discrete approximate solution is of tremendous interest for convection-dominated computational fluid dynamics (CFD) applications. Recently, a non-linear Sub-Grid eMbedded (SGM) finite element basis was developed for generating multidimensional SAME solutions via the weak statement (WS). The theory confirms that only the Navier-Stokes dissipative flux vector term is appropriate for implementing SGM, which thereafter employs element-level static condensation for efficiency and nodal-rank homogeneity. It is based on a genuinely non-linear, non-hierarchical, high-degree finite element basis for use in a discretized approximation of a WS algorithm. In this paper, the SGM methodology is extended to the Element Free Galerkin (EFG) method.

Original languageEnglish (US)
Title of host publicationProceedings of the 1999 3rd ASME/JSME Joint Fluids Engineering Conference, FEDSM'99, San Francisco, California, USA, 18-23 July 1999 (CD-ROM)
PublisherAmerican Society of Mechanical Engineers
Number of pages1
ISBN (Print)0791819612
StatePublished - Dec 1 1999

ASJC Scopus subject areas

  • Earth and Planetary Sciences(all)
  • Engineering(all)
  • Environmental Science(all)

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