TY - JOUR
T1 - An isogeometric variational multiscale method for large-eddy simulation of coupled multi-ion transport in turbulent flow
AU - Bauer, Georg
AU - Gamnitzer, Peter
AU - Gravemeier, Volker
AU - Wall, Wolfgang A.
N1 - Funding Information:
The support of the third author via the Emmy Noether program of the Deutsche Forschungsgemeinschaft (DFG) is gratefully acknowledged.
PY - 2013/10/5
Y1 - 2013/10/5
N2 - 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, 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.
AB - 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, 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.
KW - Electrochemical systems
KW - Large-eddy simulation
KW - Multi-ion transport
KW - Rotating cylinder electrode
KW - Turbulent flow
KW - Variational multiscale method
UR - http://www.scopus.com/inward/record.url?scp=84879727625&partnerID=8YFLogxK
U2 - 10.1016/j.jcp.2013.05.028
DO - 10.1016/j.jcp.2013.05.028
M3 - Article
AN - SCOPUS:84879727625
SN - 0021-9991
VL - 251
SP - 194
EP - 208
JO - Journal of Computational Physics
JF - Journal of Computational Physics
ER -