Adaptive Turbulence Computation Based on Weak Solutions and Weak Uniqueness

• We review our work oil adaptivity and error control for turbulent, flow, and we present, recent. development's oil turbulent, boundary layer flow. The computational method G2 is not based oil filtering of the Navier-Stokes (NS) equations, and thus no Reynolds (subgrid) stresses are introduced. Instead the mathematical basis is E-weak solutions to the NS equations and weak uniqueness of such epsilon-weak solutions. Based oil this mathematical framework we construct adaptive finite element methods for the computation of (mean value) Output ill turbulent HOW. Where the mesh is refined with respect to it posteriori estimates of the error in the out put of interest. The a posteriori error estimates are based oil stability information front the numerical solution of an associated dual (adjoint) problem with data given by the output, of interest. To model turbulent, boundary layer separation we use, it skill friction boundary layer model, and we also consider the case of zero skin friction corresponding to solving the inviscid Euler equations with slip boundary conditions, which we refer to as an EG2 method. The results of EG2 a new resolution to the d'Alembert paradox, and it new scenario for turbulent boundary layer separation.

Subject headings

NATURVETENSKAP  -- Data- och informationsvetenskap (hsv//swe)

NATURAL SCIENCES  -- Computer and Information Sciences (hsv//eng)

Keyword

Turbulent flow

Adaptive mesh refinement

A posteriori error estimation

Duality

Finite element method

Turbulent boundary layer separation

Information technology

Informationsteknik

Publication and Content Type

ref (subject category)

kon (subject category)