Analysis of Truncation Errors and Design of Physically Optimized Discretizations
作者： Stefan Hickel , Nikolaus A. Adams
DOI: 10.1007/978-1-4020-8578-9_4
关键词: Applied mathematics 、 Large eddy simulation 、 Discretization 、 Flow (mathematics) 、 Turbulence 、 Truncation error (numerical integration) 、 Obstacle 、 Dissipation 、 Nonlinear system
摘要: Further development of Large Eddy Simulation (LES) faces as major obstacle the strong coupling between subgrid-scale (SGS) model and truncation error numerical discretization. Recent analyzes indicate that for certain discretizations flow configurations itself can act implicit SGS model. In this paper, we explore how models be derived systematically propose a procedure design, analysis, optimization nonlinear discretizations. Implicit LES made rigorous by requiring dissipation approximates obtained from analysis interactions in turbulence.
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