Numerical analysis of the nonlinear subgrid scale method

AUTOR(ES)

Santos, I.P, Almeida, R.C, Malta, S.M.C

FONTE

Comput. Appl. Math.

DATA DE PUBLICAÇÃO

2012

RESUMO

This paper presents the numerical analysis of the Nonlinear Subgrid Scale (NSGS) model for approximating singularly perturbed transport models. The NSGS is a free parameter subgrid stabilizing method that introduces an extra stability only onto the subgrid scales. Thisnew feature comes from the local control yielded by decomposing the velocity field into the resolved and unresolved scales. Such decomposition is determined by requiring the minimum of the kinetic energy associated to the unresolved scales and the satisfaction of the resolved scale model problem at element level. The developed method is robust for a wide scope of singularly perturbed problems. Here, we establish the existence and uniqueness of the solution, and provide an a priori error estimate. Convergence tests on two-dimensional examples are reported. Mathematical subject classification: Primary: 65N12; Secondary: 74S05.

Documentos Relacionados

• Vortex method with turbulence sub-grid scale modelling
• Numerical analysis of weakly nonlinear wave turbulence
• Nonlinear numerical analysis of composite slabs with steel decking
• Turbulent shallow-water model for orographic subgrid-scale perturbations
• Numerical Analysis of Geometrically Non-Linear Behavior of Functionally Graded Shells