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Title: Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.

Abstract

No abstract prepared.

Authors:
 [1];  [2];  [2];  [2]; ;  [3]
  1. (University of Pavia, Pavia, Italy)
  2. (University of Texas at Austin, Austin, TX)
  3. (University of Texas at Austin, Austin, TX)
Publication Date:
Research Org.:
Sandia National Laboratories
Sponsoring Org.:
USDOE
OSTI Identifier:
909386
Report Number(s):
SAND2007-2848J
TRN: US200722%%1081
DOE Contract Number:
AC04-94AL85000
Resource Type:
Journal Article
Resource Relation:
Journal Name: Proposed for publication in Computer Methods in Applied Mechanics and Engineering.
Country of Publication:
United States
Language:
English
Subject:
42 ENGINEERING; INCOMPRESSIBLE FLOW; COMPUTERIZED SIMULATION; TURBULENCE; EDDY CURRENTS

Citation Formats

Reali, A., Cottrell, J.A., Calo, V. M., Bazilevs, Y., Scovazzi, Guglielmo, and Hughes, Thomas J. R. Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.. United States: N. p., 2007. Web.
Reali, A., Cottrell, J.A., Calo, V. M., Bazilevs, Y., Scovazzi, Guglielmo, & Hughes, Thomas J. R. Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.. United States.
Reali, A., Cottrell, J.A., Calo, V. M., Bazilevs, Y., Scovazzi, Guglielmo, and Hughes, Thomas J. R. Tue . "Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.". United States. doi:.
@article{osti_909386,
title = {Variational multiscale residual-based turbulence modeling for large eddy simulation of incompressible flows.},
author = {Reali, A. and Cottrell, J.A. and Calo, V. M. and Bazilevs, Y. and Scovazzi, Guglielmo and Hughes, Thomas J. R.},
abstractNote = {No abstract prepared.},
doi = {},
journal = {Proposed for publication in Computer Methods in Applied Mechanics and Engineering.},
number = ,
volume = ,
place = {United States},
year = {Tue May 01 00:00:00 EDT 2007},
month = {Tue May 01 00:00:00 EDT 2007}
}
  • Novel large eddy simulation (LES) models are developed for incompressible magnetohydrodynamics (MHD). These models include the application of the variational multiscale formulation of LES to the equations of incompressible MHD. Additionally, a new residual-based eddy viscosity model is introduced for MHD. A mixed LES model that combines the strengths of both of these models is also derived. The new models result in a consistent numerical method that is relatively simple to implement. The need for a dynamic procedure in determining model coefficients is no longer required. The new LES models are tested on a decaying Taylor-Green vortex generalized to MHDmore » and benchmarked against classical LES turbulence models. The LES simulations are run in a periodic box of size [-{pi}, {pi}]{sup 3} with 32 modes in each direction and are compared to a direct numerical simulation (DNS) with 512 modes in each direction. The new models are able to account for the essential MHD physics which is demonstrated via comparisons of energy spectra. We also compare the performance of our models to a DNS simulation by Pouquet et al.['The dynamics of unforced turbulence at high Reynolds number for Taylor-Green vortices generalized to MHD,' Geophys. Astrophys. Fluid Dyn. 104, 115-134 (2010)], for which the ratio of DNS modes to LES modes is 262:144.« less
  • No abstract prepared.
  • Highlights: •We present a computational method for coupled multi-ion transport in turbulent flow. •The underlying formulation is a variational multiscale finite element method. •It is combined with the isogeometric concept for electrochemical systems. •Coupled multi-ion transport in fully turbulent Taylor–Couette flow is simulated. •This example is an important model problem for rotating cylinder electrodes. -- Abstract: Electrochemical processes, such as electroplating of large items in galvanic baths, are often coupled to turbulent flow. In this study, we propose an isogeometric residual-based variational multiscale finite element method for multi-ion transport in dilute electrolyte solutions under turbulent flow conditions. In other words,more » this means that the concepts of isogeometric discretization and variational multiscale methods are successfully combined for developing a method capable of simulating the challenging problem of coupled multi-ion transport in turbulent flow. We present a comprehensive three-dimensional computational method taking into account, among others, coupled convection–diffusion-migration equations subject to an electroneutrality constraint in combination with phenomenological electrode-kinetics modeling. The electrochemical subproblem is one-way coupled to turbulent incompressible flow via convection. Ionic mass transfer in turbulent Taylor–Couette flow is investigated, representing an important model problem for rotating-cylinder-electrode configurations. Multi-ion transport as considered here is an example for mass transport at high Schmidt number (Sc=1389). An isogeometric discretization is especially advantageous for the present problem, since (i) curved boundaries can be represented exactly, and (ii) it has been proven to provide very accurate solutions for flow quantities when being applied in combination with residual-based variational multiscale modeling. We demonstrate that the method is robust and provides results which are in good agreement with direct numerical simulation results as well as empirical mass-transfer correlations reported in literature.« less
  • The work performed as part of this grant may be described in the context of developing numerical methods for solving an abstract, nonlinear variational problem for which the straightforward Galerkin approximation on a space of reasonable dimension is inaccurate. Target applications include flows with turbulence and systems with shocks. With this in mind, an alternate finite dimensional problem is proposed in which a model term (with unknown parameters) is added to the Galerkin approximation to improve its performance. We have developed new formulations for this model term especially for turbulent flows and for systems with shocks. We have also developedmore » a dynamic approach for evaluating the parameters that appear in this model term. We have conducted several numerical studies to confirm the usefulness of the proposed approach.« less
  • In the report we present a summary of the new models and algorithms developed by the PI and the students supported by this grant. These developments are described in detail in ten peer-reviewed journal articles that acknowledge support from this grant.