ON THE RATE OF CONVERGENCE OF THE TWO-DIMENSIONAL alpha-MODELS OF TURBULENCE TO THE NAVIER-STOKES EQUATIONS

abstract

• Rates of convergence of solutions of various two-dimensional -regularization models, subject to periodic boundary conditions, toward solutions of the exact Navier-Stokes equations are given in the L -L2 time-space norm, in terms of the regularization parameter , when approaches zero. Furthermore, as a paradigm, error estimates for the Galerkin approximation of the exact two-dimensional Leray- model are presented in the L-L2 time-space norm. Simply by the triangle inequality, one can reach the error estimates of the solutions of Galerkin approximation of the - regularization models toward the exact solutions of the Navier-Stokes equations in the two-dimensional periodic boundary conditions case.

authors

• Titi, Edriss

published proceedings

• NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION

author list (cited authors)

• Cao, Y., & Titi, E. S.

citation count

• 23

complete list of authors

• Cao, Yanping||Titi, Edriss S

publication date

• December 2009

publisher

• Taylor & Francis  Publisher

published in

• Numerical Functional Analysis and Optimization  Journal

keywords

• Convergence Rate
• Error Estimates
• Galerkin Approximation
• Lagrangian-averaged-navier-stokes-alpha
• Leray-alpha Regularization
• Modified Leray-alpha
• Navier-stokes Equations
• Navier-stokes-alpha
• Simplified Bardina Model
• Viscous Camassa-holm

Digital Object Identifier (DOI)

• 10.1080/01630560903439189

start page

• 1231

end page

• 1271

volume

• 30

issue

• 11-12

URL

• http%3A%2F%2Fdx.doi.org%2F10.1080%2F01630560903439189