Parallel computation of forced convection using domain decomposition

Mingyu Wang, John G. Georgiadis

Research output: Contribution to journalArticlepeer-review

Abstract

Boundary-fitted coordinate transformation broadens the applicability of finite difference methods. However, for a large class of geometries, coordinate transformation introduces singularities and increases grid skewness, which results in large numerical error and slow convergence rate. In this paper, we present the results of combining a finite difference scheme with domain decomposition to obtain a parallel scheme. This scheme is used to simulate steady-state forced convection in irregular axisymmetric and two-dimensional domains. The irregular domain is first dissected into subdomains that have smooth curves as their boundaries. Curvilinear coordinate systems are then generated for each subdomain. Each subdomain is mapped onto a processor in the BBN Butterfly computer. After the tasks of inner domain computation are completed in parallel, the inner boundary values are updated (also in parallel).

Original languageEnglish (US)
Pages (from-to)41-59
Number of pages19
JournalNumerical Heat Transfer, Part B: Fundamentals
Volume20
Issue number1
DOIs
StatePublished - Sep 1991
Externally publishedYes

ASJC Scopus subject areas

  • Numerical Analysis
  • Modeling and Simulation
  • Condensed Matter Physics
  • Mechanics of Materials
  • Computer Science Applications

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