Discrete Models of Fluids: Spatial Averaging, Closure, and Model Reduction

DOI10.1137/12089346XzbMath1296.82034MaRDI QIDQ5495235

Kevin Cooper, Alexander Panchenko, Alexandre M. Tartakovsky

Publication date: 31 July 2014

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

dimension reductionmodel reductionupscalingIrving-Kirkwood procedureHardy-Murdoch averagingdeconvolution closuremultiscale computational methods

Mathematics Subject Classification ID

Interacting particle systems in time-dependent statistical mechanics (82C22) Navier-Stokes equations for incompressible viscous fluids (76D05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Navier-Stokes equations (35Q30) Dynamic continuum models (systems of particles, etc.) in time-dependent statistical mechanics (82C21) Simulation of dynamical systems (37M05) (n)-body problems (70F10) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Higher-order nonlinear hyperbolic equations (35L75) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) PDEs in connection with mechanics of particles and systems of particles (35Q70) Averaging for functional-differential equations (34K33)

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