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Renormalization Group Theory Technique And Subgrid Scale Closure For Fluid And Plasma Turbulence, Ye Zhou
Renormalization Group Theory Technique And Subgrid Scale Closure For Fluid And Plasma Turbulence, Ye Zhou
Dissertations, Theses, and Masters Projects
Renormalization group theory is applied to incompressible three-dimension Navier-Stokes turbulence so as to eliminate unresolvable small scales. The renormalized Navier-Stokes equation includes a triple nonlinearity with the eddy viscosity exhibiting a mild cusp behavior, in qualitative agreement with the test-field model results of Kraichnan. For the cusp behavior to arise, not only is the triple nonlinearity necessary but the effects of pressure must be incorporated in the triple term.;Renormalization group theory is also applied to a model Alfven wave turbulence equation. In particular, the effect of small unresolvable subgrid scales on the large scales is computed. It is found that …