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Block-correction-based multigrid method for fluid flow problems

Journal Article · · Numerical Heat Transfer. Part B, Fundamentals; (United States)
 [1];  [2]
  1. Innovative Research, Inc., Minneapolis, MN (United States)
  2. Univ. of Minnesota, Minneapolis, MN (United States). Dept. of Mechanical Engineering

A coupled-point solution procedure employing a multilevel correction strategy is developed and test results are presented in this article. The method is based on the principle of deriving the coarse-grid discretization equations from the fine-grid discretization equations. The adaptive scheme is applied to the sample problems of laminar flow in lid-driven square and cubic cavities and flow over a backward-facing step. The study demonstrates that the multigrid method is robust and rapidly convergent, resulting in improvement in CPU requirements by a factor of approximately 5 to 15 compared to the sequential signal-grid SIMPLER procedure. The performance of procedure improves, in comparison to the SIMPLER, as the number of grid points increases.

OSTI ID:
7003662
Journal Information:
Numerical Heat Transfer. Part B, Fundamentals; (United States), Journal Name: Numerical Heat Transfer. Part B, Fundamentals; (United States) Vol. 25:4; ISSN 1040-7790; ISSN NHBFEE
Country of Publication:
United States
Language:
English

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