@book{KOPMAN1989,
  address =       {Москва},
  author =        {Копман, Я. Ю. and Щербинин, Э. В.},
  publisher =     {Машиностроение},
  title =         {Электрошлаковые сварка и
                   плавка с управляемыми
                   МГД-процессами},
  year =          {1989},
  language =      {russian},
}

@book{POVKH1974,
  address =       {Москва},
  author =        {Повх, И. Л. and Капуста, А. Б. and
                   Чекин, Б. В.},
  publisher =     {Металлургия},
  title =         {Магнитная гидродинамика в
                   металлургии},
  year =          {1974},
  language =      {russian},
}

@book{PATON1981,
  address =       {Киев},
  author =        {Патон, Б. Е. and Медовар, Б. И.},
  publisher =     {Наукова думка},
  title =         {Электрошлаковый металл},
  year =          {1981},
  language =      {russian},
}

@article{KELLEY2017,
  author =        {Kelley, Douglas and Weier, Tom},
  journal =       {Applied Mechanics Reviews},
  month =         {10},
  pages =         {020801-01--020801-23},
  title =         {Fluid Mechanics of Liquid Metal Batteries},
  volume =        {70},
  year =          {2017},
  doiurl =        {10.1115/1.4038699},
}

@article{HERREMAN2019,
  author =        {Herreman, W. and Nore, C. and Ziebell Ramos, P. and
                   Cappanera, L. and Guermond, J.-L. and Weber, N.},
  journal =       {Phys. Rev. Fluids},
  month =         {Nov},
  number =        {11},
  pages =         {113702},
  publisher =     {American Physical Society},
  title =         {Numerical simulation of electrovortex flows in
                   cylindrical fluid layers and liquid metal batteries},
  volume =        {4},
  year =          {2019},
  doiurl =        {10.1103/PhysRevFluids.4.113702},
  url =           {https://link.aps.org/doi/10.1103/PhysRevFluids.4.113702},
}

@article{HERREMAN2020,
  author =        {Herreman, W. and B\'enard, S. and Nore, C. and
                   Personnettaz, P. and Cappanera, L. and
                   Guermond, J.-L.},
  journal =       {Phys. Rev. Fluids},
  month =         {Jul},
  number =        {7},
  pages =         {074501},
  publisher =     {American Physical Society},
  title =         {Solutal buoyancy and electrovortex flow in liquid
                   metal batteries},
  volume =        {5},
  year =          {2020},
  doiurl =        {10.1103/PhysRevFluids.5.074501},
  url =           {https://link.aps.org/doi/10.1103/PhysRevFluids.5.074501},
}

@article{HERREMAN2021,
  author =        {Herreman, W. and Nore, C. and Cappanera, L. and
                   Guermond, J.-L.},
  journal =       {Journal of Fluid Mechanics},
  pages =         {A17},
  title =         {Efficient mixing by swirling electrovortex flows in
                   liquid metal batteries},
  volume =        {915},
  year =          {2021},
  doiurl =        {10.1017/jfm.2021.79},
}

@article{HERREMAN2023,
  author =        {Herreman, W. and Wierzchalek, L. and Horstmann, G.M. and
                   Cappanera, L. and Nore, C.},
  journal =       {Journal of Fluid Mechanics},
  pages =         {A6},
  title =         {Stability theory for metal pad roll in cylindrical
                   liquid metal batteries},
  volume =        {962},
  year =          {2023},
  doiurl =        {10.1017/jfm.2023.238},
}

@article{NORE2021,
  author =        {Nore, Caroline and Cappanera, L. and Guermond, J.-L. and
                   Weier, T. and Herreman, W.},
  journal =       {{Physical Review Letters}},
  month =         may,
  number =        {18},
  pages =         {184501},
  publisher =     {{American Physical Society}},
  title =         {{Feasibility of Metal Pad Roll Instability
                   Experiments at Room Temperature}},
  volume =        {126},
  year =          {2021},
  doiurl =        {10.1103/PhysRevLett.126.184501},
  url =           {https://hal.science/hal-03335970},
}

@article{WEBER2020,
  author =        {Norbert Weber and Michael Nimtz and
                   Paolo Personnettaz and Tom Weier and Donald Sadoway},
  journal =       {Journal of Power Sources Advances},
  pages =         {100004},
  title =         {Numerical simulation of mass transfer enhancement in
                   liquid metal batteries by means of electro-vortex
                   flow},
  volume =        {1},
  year =          {2020},
  doiurl =        {https://doi.org/10.1016/j.powera.2020.100004},
  issn =          {2666-2485},
  url =           {https://www.sciencedirect.com/science/article/pii/
                  S2666248520300044},
}

@article{Weier2017,
  author =        {T Weier and A Bund and W El-Mofid and G M Horstmann and
                   C-C Lalau and S Landgraf and M Nimtz and M Starace and
                   F Stefani and N Weber},
  journal =       {IOP Conference Series: Materials Science and
                   Engineering},
  month =         {jul},
  number =        {1},
  pages =         {012013},
  publisher =     {IOP Publishing},
  title =         {Liquid metal batteries - materials selection and
                   fluid dynamics},
  volume =        {228},
  year =          {2017},
  doiurl =        {10.1088/1757-899X/228/1/012013},
  url =           {https://dx.doi.org/10.1088/1757-899X/228/1/012013},
}

@techreport{YACHIKOV2009,
  address =       {Магнитогорск},
  author =        {Ячиков, И. М.},
  institution =   {Южно-Уральский
                   государственный
                   университет},
  type =          {Диссертация на соискание
                   ученой степени доктора
                   технических наук},
  title =         {Математическое
                   моделирование
                   электровихревых течений и
                   тепломассопереноса в
                   токонесущих расплавах
                   металлургических агрегатов},
  year =          {2009},
  language =      {russian},
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@book{KHRIPCHENKO2009,
  address =       {Екатеринбург},
  author =        {Хрипченко, С. Ю.},
  publisher =     {УрО РАН},
  title =         {Электровихревые течения в
                   каналах МГД-устройств:
                   монография},
  language =      {russian},
}

@book{BOYAREVICH1989,
  address =       {Рига},
  author =        {Бояревич, В. В. and
                   Фрейберг, Я. Ж. and Шилова, Е. И. and
                   Щербинин, Э. В.},
  publisher =     {Зинатне},
  title =         {Электровихревые течения},
  language =      {russian},
}

@article{LUNDQUIST1969,
  author =        {Lundquist, Stig},
  journal =       {Ark. Fys.},
  number =        {5},
  pages =         {89--95},
  title =         {On the hydromagnetic viscous flow generated by a
                   diverging current},
  volume =        {40},
  year =          {1969},
  language =      {swedish},
}

@article{Sozou_Pickering_1976,
  author =        {Sozou, C. and Pickering, W. M.},
  journal =       {Journal of Fluid Mechanics},
  number =        {4},
  pages =         {641–650},
  title =         {Magnetohydrodynamic flow due to the discharge of an
                   electric current in a hemispherical container},
  volume =        {73},
  year =          {1976},
  doiurl =        {10.1017/S0022112076001547},
}

@article{MALYSHEV2022,
  author =        {Малышев, К. Ю. and Михайлов, Е. А. and
                   Тепляков, И. О.},
  journal =       {Журнал вычислительной
                   математики и математической
                   физики},
  number =        {7},
  pages =         {1187--1199},
  title =         {Быстросходящийся ряд для
                   решения задачи об
                   электровихревом течении в
                   полусферическом сосуде},
  volume =        {62},
  year =          {2022},
  doiurl =        {10.31857/S0044466922070067},
  language =      {russian},
}

@techreport{TelpyakovDISS,
  address =       {Москва},
  author =        {Тепляков, И. О.},
  institution =   {Национальный
                   исследовательский
                   университет МЭИ},
  type =          {Диссертация на соискание
                   ученой степени кандидата
                   технических наук},
  title =         {Исследование структуры
                   электровихревого течения
                   жидкого металла в
                   полусферической полости},
  year =          {2013},
  language =      {russian},
}

@techreport{IvochkinDISS,
  address =       {Москва},
  author =        {Ивочкин, Ю. П.},
  institution =   {Федеральное государственное
                   бюджетное образовательное
                   учреждение высшего
                   образования "Национальный
                   исследовательский
                   университет "МЭИ"},
  type =          {Диссертация на соискание
                   ученой степени доктора
                   технических наук},
  title =         {Исследование механизмов
                   термогидродинамических и
                   МГД-процессов с
                   жидкометаллическими
                   рабочими телами},
  year =          {2015},
  language =      {russian},
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@article{ZHILIN2011,
  author =        {Жилин, В. Г. and Ивочкин, Ю. П. and
                   Тепляков, И. О.},
  journal =       {ТВТ},
  number =        {6},
  pages =         {957--960},
  title =         {К вопросу о закрутке
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  volume =        {49},
  year =          {2011},
  doiurl =        {10.1134/S0018151X11060241},
  language =      {russian},
}

@incollection{IVOCHKIN2014,
  address =       {Москва},
  author =        {Ивочкин, Ю. П. and Тепляков, И. О. and
                   Гусева, А. А. and
                   и Протоковилов, И. В. and
                   Виноградов, Д. А. and
                   Токарев, Ю. Н.},
  booktitle =     {Труды Шестой Российской
                   национальной конференции по
                   теплообмену},
  pages =         {351--354},
  publisher =     {Издательский дом МЭИ},
  title =         {Экспериментальное и
                   численное исследование
                   влияния магнитного поля на
                   процесс плавления
                   эвтектического сплава
                   {I}n-{G}a-{S}n},
  year =          {2014},
  language =      {russian},
}

@article{MEHRAN2024,
  author =        {Abdi, Mehran and Karimi-Sibaki, Ebrahim and
                   Sommitsch, Christof and Barati, Hadi and
                   Al Nasser, Mohamad and Wu, Menghuai and
                   Teplyakov, Igor and Kharicha, Abdellah},
  journal =       {International Journal of Thermofluids},
  month =         {06},
  pages =         {100721},
  title =         {Mapping Electro-Vortex Flow Patterns from Tornado to
                   Inverted Tornado in a Hemispherical Container},
  volume =        {23},
  year =          {2024},
  doiurl =        {10.1016/j.ijft.2024.100721},
}

@article{KHARICHA2022,
  author =        {Kharicha, Abdellah and Al Nasser, Mohamad and
                   Barati, Hadi and Karimi-Sibaki, Ebrahim and
                   Vakhrushev, Alexander and Abdi, Mehran and
                   Ludwig, Andreas and Wu, Menghuai},
  journal =       {European Journal of Mechanics - B/Fluids},
  month =         {02},
  pages =         {},
  title =         {Tornados and cyclones driven by Magneto-hydrodynamic
                   forces},
  volume =        {94},
  year =          {2022},
  doiurl =        {10.1016/j.euromechflu.2022.02.001},
}

@techreport{NekhaminDISS,
  address =       {Москва},
  author =        {Нехамин, С. М.},
  institution =   {Федеральное государственное
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                   учреждение высшего
                   образования "Национальный
                   исследовательский
                   университет "МЭИ"},
  type =          {Диссертация на соискание
                   ученой степени доктора
                   технических наук},
  title =         {Создание и внедрение
                   энергоэффективных дуговых и
                   шлаковых электропечных
                   комплексов с использованием
                   постоянного тока и тока
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  year =          {2015},
  language =      {russian},
}

@techreport{ChudnovskiDISS,
  address =       {Рига},
  author =        {Чудновский, А. Ю.},
  institution =   {Ин-т механики сплошных сред
                   УО АН СССР},
  type =          {Диссертация на соискание
                   ученой степени кандидата
                   технических наук},
  title =         {Моделирование
                   гидродинамических процессов
                   в токонесущих расплавах
                   электроагрегатов},
  year =          {1988},
  language =      {russian},
}

@article{PROKHORENKO1970,
  author =        {Похоренко, В. Я. and
                   Ратушняк, Е. А. and Стаднык, Б. И. and
                   Лах, В. И. and Коваль, А. М.},
  journal =       {ТВТ},
  number =        {8},
  pages =         {374--378},
  title =         {Физические свойства
                   термометрического расплава
                   In-Ga-Sn},
  volume =        {2},
  year =          {1970},
  language =      {russian},
}

@{COMSOL,
  author =        {Comsol, Inc.},
  title =         {COMSOL - Software for Multiphysics Simulation},
  year =          {2025},
  url =           {https://www.comsol.com},
}

@article{wilcox2008,
  author =        {Wilcox, D. C.},
  journal =       {AIAA Journal},
  number =        {11},
  pages =         {2823--2838},
  title =         {Formulation of the $k$--$ω$ Turbulence Model
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  year =          {2008},
  doiurl =        {10.2514/1.36541},
}