Matches in SemOpenAlex for { <https://semopenalex.org/work/W3000061144> ?p ?o ?g. }
- W3000061144 abstract "Advective diffusion plays a key role in the transport of salt, heat, buoys, and markers in geophysical flows, in the dispersion of pollutants and trace gases in the atmosphere, and even in the dynamics of sea ice floes influenced by winds and ocean currents. The long time, large scale behavior of such systems is equivalent to an enhanced diffusion process with an effective diffusivity matrix D*. Three decades ago, a Stieltjes integral representation for the homogenized matrix, involving a spectral measure of a self-adjoint operator, was developed. However, analytical calculations of D* have been obtained for only a few simple flows, and numerical computations of the effective behavior based on this spectral representation have apparently not been attempted. We overcome these limitations by providing a mathematical foundation for the computation of Stieltjes integral representations of D*. We explore two different approaches and for each approach we derive new Stieltjes integral representations and rigorous bounds for the symmetric and antisymmetric parts of D*, involving the molecular diffusivity and a spectral measure μ of a self-adjoint operator that depends on the characteristics of a randomly perturbed periodic flow. In discrete formulations of each approach, we express μ explicitly in terms of standard (or generalized) eigenvalues and eigenvectors of Hermitian matrices. We develop and implement an efficient numerical algorithm that combines beneficial numerical attributes of each approach. We use this method to compute the effective behavior for model flows and relate spectral characteristics to flow geometry and transport properties." @default.
- W3000061144 created "2020-01-23" @default.
- W3000061144 creator A5024350861 @default.
- W3000061144 creator A5043957797 @default.
- W3000061144 creator A5053577698 @default.
- W3000061144 creator A5059708262 @default.
- W3000061144 creator A5072810207 @default.
- W3000061144 date "2020-01-01" @default.
- W3000061144 modified "2023-10-18" @default.
- W3000061144 title "Spectral analysis and computation for homogenization of advection diffusion processes in steady flows" @default.
- W3000061144 cites W1869673716 @default.
- W3000061144 cites W1971411567 @default.
- W3000061144 cites W1978239096 @default.
- W3000061144 cites W1978548866 @default.
- W3000061144 cites W1980078733 @default.
- W3000061144 cites W1983462249 @default.
- W3000061144 cites W1987462840 @default.
- W3000061144 cites W1991321418 @default.
- W3000061144 cites W1992044958 @default.
- W3000061144 cites W1995374819 @default.
- W3000061144 cites W1996654868 @default.
- W3000061144 cites W1999425740 @default.
- W3000061144 cites W2000436082 @default.
- W3000061144 cites W2003458419 @default.
- W3000061144 cites W2004609003 @default.
- W3000061144 cites W2026821992 @default.
- W3000061144 cites W2031137328 @default.
- W3000061144 cites W2033423177 @default.
- W3000061144 cites W2062276761 @default.
- W3000061144 cites W2064784823 @default.
- W3000061144 cites W2073950953 @default.
- W3000061144 cites W2077459628 @default.
- W3000061144 cites W2078731650 @default.
- W3000061144 cites W2085316371 @default.
- W3000061144 cites W2113353256 @default.
- W3000061144 cites W2126979898 @default.
- W3000061144 cites W2128254052 @default.
- W3000061144 cites W2130928138 @default.
- W3000061144 cites W2158136667 @default.
- W3000061144 cites W2325451428 @default.
- W3000061144 cites W2329972856 @default.
- W3000061144 cites W2572664200 @default.
- W3000061144 cites W2581964654 @default.
- W3000061144 cites W3099119177 @default.
- W3000061144 cites W4244589554 @default.
- W3000061144 cites W4246245586 @default.
- W3000061144 cites W638246587 @default.
- W3000061144 doi "https://doi.org/10.1063/1.5127457" @default.
- W3000061144 hasPublicationYear "2020" @default.
- W3000061144 type Work @default.
- W3000061144 sameAs 3000061144 @default.
- W3000061144 citedByCount "5" @default.
- W3000061144 countsByYear W30000611442020 @default.
- W3000061144 countsByYear W30000611442022 @default.
- W3000061144 crossrefType "journal-article" @default.
- W3000061144 hasAuthorship W3000061144A5024350861 @default.
- W3000061144 hasAuthorship W3000061144A5043957797 @default.
- W3000061144 hasAuthorship W3000061144A5053577698 @default.
- W3000061144 hasAuthorship W3000061144A5059708262 @default.
- W3000061144 hasAuthorship W3000061144A5072810207 @default.
- W3000061144 hasBestOaLocation W30000611441 @default.
- W3000061144 hasConcept C104317684 @default.
- W3000061144 hasConcept C106487976 @default.
- W3000061144 hasConcept C11413529 @default.
- W3000061144 hasConcept C121332964 @default.
- W3000061144 hasConcept C121864883 @default.
- W3000061144 hasConcept C134306372 @default.
- W3000061144 hasConcept C145290371 @default.
- W3000061144 hasConcept C158448853 @default.
- W3000061144 hasConcept C158693339 @default.
- W3000061144 hasConcept C159985019 @default.
- W3000061144 hasConcept C17020691 @default.
- W3000061144 hasConcept C185592680 @default.
- W3000061144 hasConcept C192562407 @default.
- W3000061144 hasConcept C23463724 @default.
- W3000061144 hasConcept C28826006 @default.
- W3000061144 hasConcept C33923547 @default.
- W3000061144 hasConcept C37668627 @default.
- W3000061144 hasConcept C45374587 @default.
- W3000061144 hasConcept C5072599 @default.
- W3000061144 hasConcept C55493867 @default.
- W3000061144 hasConcept C57879066 @default.
- W3000061144 hasConcept C62520636 @default.
- W3000061144 hasConcept C86339819 @default.
- W3000061144 hasConcept C97355855 @default.
- W3000061144 hasConceptScore W3000061144C104317684 @default.
- W3000061144 hasConceptScore W3000061144C106487976 @default.
- W3000061144 hasConceptScore W3000061144C11413529 @default.
- W3000061144 hasConceptScore W3000061144C121332964 @default.
- W3000061144 hasConceptScore W3000061144C121864883 @default.
- W3000061144 hasConceptScore W3000061144C134306372 @default.
- W3000061144 hasConceptScore W3000061144C145290371 @default.
- W3000061144 hasConceptScore W3000061144C158448853 @default.
- W3000061144 hasConceptScore W3000061144C158693339 @default.
- W3000061144 hasConceptScore W3000061144C159985019 @default.
- W3000061144 hasConceptScore W3000061144C17020691 @default.
- W3000061144 hasConceptScore W3000061144C185592680 @default.
- W3000061144 hasConceptScore W3000061144C192562407 @default.
- W3000061144 hasConceptScore W3000061144C23463724 @default.
- W3000061144 hasConceptScore W3000061144C28826006 @default.