Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations

REN Chun-feng; MA Yi-chen

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(7): 689-696

REN Chun-feng, MA Yi-chen. Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 689-696.

Citation:

REN Chun-feng, MA Yi-chen. Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 689-696.

Citation:

REN Chun-feng, MA Yi-chen. Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations[J]. Applied Mathematics and Mechanics, 2002, 23(7): 689-696.

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Two-Grid Error Estimates for the Stream Function Form of Navier-Stokes Equations

College of Science, Xi'an Jiaotong University, Xi'an 710049, P R China

Received Date: 2001-01-15
Rev Recd Date: 2001-11-28
Publish Date: 2002-07-15

Abstract

Abstract

The two-grid finite element approximation to the stream function form of the stationary Navier-Stokes equations was analyzed. The algorithms involve solving one small, nonlinear coarse mesh system, one linear problem on the fine mesh system, and a linear correct problem on the coarse mesh. The algorithms with the correct problem and without the correct problem were discussed. The algorithms produce an approximate solution with the optimal, asymptotic accuracy for any fixed Reynolds number.
- Navier-Stokes equation,
- two-grid method,
- stream function

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References(5)

References

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