Final Report on the “ New Directions in the Variational Multiscale Formulation of Large Eddy Simulation of Turbulence”

Assad A. Oberai

关键词: APPROXIMATIONS;    DIMENSIONS;    PERFORMANCE;    SIMULATION;    TARGETS;    TURBULENCE;    TURBULENT FLOW turbulence;    large eddy simulation;    shocks;    dynamic parameters;    subgrid modeling;    multis;   

DOI  :  10.2172/909698
RP-ID  :  DOE/ER25648-3
PID  :  OSTI ID: 909698
Others  :  TRN: US200723%%139

学科分类：社会科学、人文和艺术（综合）

美国|英语

来源: SciTech Connect

【 摘 要 】

The work performed as part of this grant may be described in the context of developing numerical methods for solving an abstract, nonlinear variational problem for which the straightforward Galerkin approximation on a space of reasonable dimension is inaccurate. Target applications include flows with turbulence and systems with shocks. With this in mind, an alternate finite dimensional problem is proposed in which a model term (with unknown parameters) is added to the Galerkin approximation to improve its performance. We have developed new formulations for this model term especially for turbulent flows and for systems with shocks. We have also developed a dynamic approach for evaluating the parameters that appear in this model term. We have conducted several numerical studies to confirm the usefulness of the proposed approach.