In LESan external length-scale is introduced into the description which is identified with the width of the spatial low-pass filter with which the Navier-Stokes equations are filtered.
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Only features in the flow larger than are explicitly resolved in the simulation while the dynamical effects of the 'sub- ' scales need to be parameterized by a suitable subgrid model. Thus, in LES the computational effort can be strongly reduced compared to DNS while with proper selection of sufficient flow detail may be retained to provide accuratepredictionsof various flowproperties.
Thestudy of thedynamicsof complex fluidsisanewpacingitemfordirect andlarge-eddy simulation. Inparticular,thestudyof reactingflowsandflowscontainingparticlesandbubblesisofgreatimportance, boththeoretically aswell asinrelationtoanumberof applicationareas.
Book Complex Fluids Modeling And Algorithms
A centralprobleminthiscontext is the combination of a spatially smoothed flow description and strongly localized flow-phenomena such as reaction-fronts or discrete particles moving along with a flow while simultaneously influencing this flow. By adopting new 'approximate inverse modeling' and 'regularization modeling' in the context of large-eddy simulation and global level-set dynamics a suitable combination of retained flow detail and computational effortmay beachieved,which may allowsufficiently accuratepredictionsforrealistic flow conditions and geometries.
The development and investigation of these complex-fluid simulations is a main research item in this project. Numerical methods and implementation.
In order to be able to perform direct numerical simulations in three spatial dimensions, next to the formal order of accuracy of the method, the efficiency of the numerical algorithms is a critical issue. Also, large-eddy simulations in more complex geometries and more complicated flow-fields can not be performed without an efficient algorithm. Moreover, systematic parameter-studies of certain flow-phenomena form a third reason which emphasizes the efficiency of the numerical algorithm.
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The numericalmethod starts from the conservative form of the governing equations,e. The conservation property is retained in the discrete equations by using, e. The unsteadiness of the solution in all problems considered in this project, requires an integration in time. We use explicit Runge-Kutta methods or second-order accurate implicit methods for this purpose.
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Mathematical Modeling for Complex Fluids and Flows | itocagawoler.ga
Submission summary. FR EN. This general objective can be broken down as follows: i How phase-field approach can help to understand the processes and mechanisms associated with solid-liquid transformations of peritectic systems, especially in porous media. The author of this summary is the project coordinator, who is responsible for the content of this summary.
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