## How Consistent Can We Solve the Tensor Equations of the Dynamic Smagorinsky Model?            Video in TIB AV-Portal: How Consistent Can We Solve the Tensor Equations of the Dynamic Smagorinsky Model?

 Title How Consistent Can We Solve the Tensor Equations of the Dynamic Smagorinsky Model? Title of Series Leibniz MMS Days 2019 Author License CC Attribution 3.0 Germany:You are free to use, adapt and copy, distribute and transmit the work or content in adapted or unchanged form for any legal purpose as long as the work is attributed to the author in the manner specified by the author or licensor. Identifiers 10.5446/40500 (DOI) Publisher Release Date 2019 Language English

 Subject Area Mathematics Abstract The basic idea of the Dynamic Smagorinsky Model (DSM) is the tensor equation that relates the resolved stress terms with the respective Smagorinsky parametrizations. Although there exist for almost 30 years approaches to solve it, they include common practices which are, in my opinion, applied too uncritically. For instance, a stringent derivation of the tensor equation results in an ambiguous formulation involving a divergence operator. A second problem that may cause inconsistencies is the frequently-used extraction of the Smagorinsky parameter from the test filtering. In my presentation, I want to point out some of these issues to obtain a better understanding of the DSM. This may also lead to a reduction of mathematical inconsistencies regarding its solution. 1 (number) 2 (number)
Scale (map) Scaling (geometry) Model theory Model theory Event horizon Mach's principle Estimation Well-formed formula Large eddy simulation Order (biology) Interface (chemistry) Aerodynamics Length Resultant
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Standard deviation Dissipation Image resolution State of matter Model theory Poisson-Klammer Moment (mathematics) Stress (mechanics) Price index Insertion loss Mereology 10 (number) Product (business) Derivation (linguistics) Tensor Velocity Different (Kate Ryan album) Nichtlineares Gleichungssystem Aerodynamics Square number
Momentum Model theory Constraint (mathematics) Inverse element Parameter (computer programming) Perspective (visual) Theory Product (business) Mach's principle Derivation (linguistics) Tensor Different (Kate Ryan album) Operator (mathematics) Vector space Divergence Aerodynamics Nichtlineares Gleichungssystem Thermodynamics Monster group Curve fitting Scale (map) Addition Constraint (mathematics) Image resolution Moment (mathematics) Vector graphics Incidence algebra Product (business) 10 (number) Divergence Vector space Nichtlineares Gleichungssystem Momentum Flux
Statistical hypothesis testing Spectrum (functional analysis) Free group Momentum Model theory Multiplication sign Connectivity (graph theory) Parameter (computer programming) Approximation Variable (mathematics) 2 (number) Product (business) Many-sorted logic Iteration Different (Kate Ryan album) Modulform Aerodynamics Nichtlineares Gleichungssystem Dependent and independent variables Theory of relativity Scaling (geometry) Model theory Parameter (computer programming) Category of being Ring (mathematics) Estimation Nichtlineares Gleichungssystem Right angle Identical particles
Voting Constraint (mathematics) State of matter Model theory Surface Parameter (computer programming) Aerodynamics Nichtlineares Gleichungssystem Term (mathematics) Bounded variation Square number Mach's principle
Field extension Root Spherical cap Summierbarkeit
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