Enhanced-discretization successive update method (EDSUM)

Tayfun E. Tezduyar, Sunil Sathe

Research output: Contribution to journalArticle

13 Citations (Scopus)

Abstract

The enhanced-discretization successive update method (EDSUM) is a multi-level iteration method designed for computation of the flow behaviour at small scales. As an enhancement in iterative solution of non-linear and linear equation systems, the EDSUM is one of the enhanced discretization and solution techniques developed for more effective computation of complex flow problems. It complements techniques based on enhancement in spatial discretization and based on enhancement in time discretization in the context of a space-time formulation. It is closely related to the enhanced-discretization interface-capturing technique (EDICT), as the function spaces used in the EDSUM are very similar to those used in the EDICT. The EDSUM also has a built-in mechanism for transferring flow information between the large and small scales in a fashion consistent with the discretizations resulting from the underlying stabilized formulations. With a number of test computations for steady-state problems governed by the advection-diffusion equation, we demonstrate that the EDSUM has the potential to become a competitive technique for computation of flow behaviour at small scales.

Original languageEnglish
Pages (from-to)633-654
Number of pages22
JournalInternational Journal for Numerical Methods in Fluids
Volume47
Issue number6-7
DOIs
Publication statusPublished - 2005 Feb 28
Externally publishedYes

Fingerprint

Update
Discretization
Advection
Linear equations
Enhancement
Multilevel Methods
Advection-diffusion Equation
Formulation
Iterative Solution
Time Discretization
Information Flow
Iteration Method
Function Space
Linear equation
Complement
Space-time
Demonstrate

Keywords

  • Enhanced discretization and solution techniques
  • Flow simulation
  • Iterative methods
  • Multi-level iteration techniques
  • Successive update method

ASJC Scopus subject areas

  • Computational Mechanics
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications
  • Applied Mathematics

Cite this

Enhanced-discretization successive update method (EDSUM). / Tezduyar, Tayfun E.; Sathe, Sunil.

In: International Journal for Numerical Methods in Fluids, Vol. 47, No. 6-7, 28.02.2005, p. 633-654.

Research output: Contribution to journalArticle

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