TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS

Yuqing Zhang; Yuan Li; Rong An

doi:10.11948/2016042

2016 Volume 6 Issue 3

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Yuqing Zhang, Yuan Li, Rong An. TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 607-627. doi: 10.11948/2016042

Citation:

Yuqing Zhang, Yuan Li, Rong An. TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS[J]. Journal of Applied Analysis & Computation, 2016, 6(3): 607-627. doi: 10.11948/2016042

TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS

College of Mathematics and Information Science, Wenzhou University, 325035 Wenzhou, P. R. China

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Abstract

Abstract

In this paper, we study two-level iteration penalty and variational multiscale method for the approximation of steady Navier-Stokes equations at high Reynolds number. Comparing with classical penalty method, this new method does not require very small penalty parameter ε. Moreover, two-level mesh method can save a large amount of CPU time. The error estimates in H¹ norm for velocity and in L² norm for pressure are derived. Finally, two numerical experiments are shown to support the efficiency of this new method.
- Navier-stokes equations /
- variational multiscale /
- iteration penalty /
- two-level method
MSC: 65N30;76M10

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References

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