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

Yuqing Zhang | Zendy; Li Yuan | Zendy; Rong An | Zendy

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

Author(s) -

Yuqing Zhang,

Li Yuan,

Rong An

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016042

Subject(s) - penalty method , reynolds number , compressibility , mathematics , norm (philosophy) , pressure correction method , navier–stokes equations , incompressible flow , mathematical analysis , mathematical optimization , physics , mechanics , turbulence , law , political science

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 H norm for velocity and in L norm for pressure are derived. Finally, two numerical experiments are shown to support the efficiency of this new method.

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