SUPG

SUPG and discontinuity-capturing methods for coupled fluid mechanics and electrochemical transport problems. Electrophoresis is the motion of charged particles relative to the surrounding liquid under the influence of an external electric field. This electrochemical transport process is used in many scientific and technological areas to separate chemical species. Modeling and simulation of electrophoretic transport enables a better understanding of the physicochemical processes developed during the electrophoretic separations and the optimization of various parameters of the electrophoresis devices and their performance. Electrophoretic transport is a multiphysics and multiscale problem. Mass transport, fluid mechanics, electric problems, and their interactions have to be solved in domains with length scales ranging from nanometers to centimeters. We use a finite element method for the computations. Without proper numerical stabilization, computation of coupled fluid mechanics, electrophoretic transport, and electric problems would suffer from spurious oscillations that are related to the high values of the local Péclet and Reynolds numbers and the nonzero divergence of the migration field. To overcome these computational challenges, we propose a stabilized finite element method based on the streamline-upwind/Petrov-Galerkin (SUPG) formulation and discontinuity-capturing techniques. To demonstrate the effectiveness of the stabilized formulation, we present test computations with 1D, 2D, and 3D electrophoretic transport problems of technological interest.


References in zbMATH (referenced in 24 articles )

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  1. Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.: Element length calculation in B-spline meshes for complex geometries (2020)
  2. Takizawa, Kenji; Tezduyar, Tayfun E.; Avsar, Reha: A low-distortion mesh moving method based on fiber-reinforced hyperelasticity and optimized zero-stress state (2020)
  3. Terahara, Takuya; Takizawa, Kenji; Tezduyar, Tayfun E.; Bazilevs, Yuri; Hsu, Ming-Chen: Heart valve isogeometric sequentially-coupled FSI analysis with the space-time topology change method (2020)
  4. Terahara, Takuya; Takizawa, Kenji; Tezduyar, Tayfun E.; Tsushima, Atsushi; Shiozaki, Kensuke: Ventricle-valve-aorta flow analysis with the space-time isogeometric discretization and topology change (2020)
  5. Castorrini, Alessio; Corsini, Alessandro; Rispoli, Franco; Takizawa, Kenji; Tezduyar, Tayfun E.: A stabilized ALE method for computational fluid-structure interaction analysis of passive morphing in turbomachinery (2019)
  6. Castorrini, Alessio; Corsini, Alessandro; Rispoli, Franco; Venturini, Paolo; Takizawa, Kenji; Tezduyar, Tayfun E.: Computational analysis of performance deterioration of a wind turbine blade strip subjected to environmental erosion (2019)
  7. Kanai, Taro; Takizawa, Kenji; Tezduyar, Tayfun E.; Komiya, Kenji; Kaneko, Masayuki; Hirota, Kyohei; Nohmi, Motohiko; Tsuneda, Tomoki; Kawai, Masahito; Isono, Miho: Methods for computation of flow-driven string dynamics in a pump and residence time (2019)
  8. Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.: Tire aerodynamics with actual tire geometry, road contact and tire deformation (2019)
  9. Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.: Space-time isogeometric flow analysis with built-in Reynolds-equation limit (2019)
  10. Kuraishi, Takashi; Takizawa, Kenji; Tezduyar, Tayfun E.: Space-time computational analysis of tire aerodynamics with actual geometry, road contact, tire deformation, road roughness and fluid film (2019)
  11. Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.; Nagaoka, Kenichiro; Avsar, Reha; Zhang, Yutong: Space-time VMS flow analysis of a turbocharger turbine with isogeometric discretization: computations with time-dependent and steady-inflow representations of the intake/exhaust cycle (2019)
  12. Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.; Nagaoka, Kenichiro; Mei, Sen: Turbocharger turbine and exhaust manifold flow computation with the space-time variational multiscale method and isogeometric analysis (2019)
  13. Takizawa, Kenji; Tezduyar, Tayfun E.; Uchikawa, Hiroaki; Terahara, Takuya; Sasaki, Takafumi; Yoshida, Ayaka: Mesh refinement influence and cardiac-cycle flow periodicity in aorta flow analysis with isogeometric discretization (2019)
  14. Otoguro, Yuto; Takizawa, Kenji; Tezduyar, Tayfun E.: Space-time VMS computational flow analysis with isogeometric discretization and a general-purpose NURBS mesh generation method (2017)
  15. Takizawa, Kenji; Tezduyar, Tayfun E.; Hattori, Hitoshi: Computational analysis of flow-driven string dynamics in turbomachinery (2017)
  16. Takizawa, Kenji; Tezduyar, Tayfun E.; Otoguro, Yuto; Terahara, Takuya; Kuraishi, Takashi; Hattori, Hitoshi: Turbocharger flow computations with the space-time isogeometric analysis (ST-IGA) (2017)
  17. Takizawa, Kenji; Tezduyar, Tayfun E.; Terahara, Takuya; Sasaki, Takafumi: Heart valve flow computation with the integrated space-time VMS, slip interface, topology change and isogeometric discretization methods (2017)
  18. Castorrini, Alessio; Corsini, Alessandro; Rispoli, Franco; Venturini, Paolo; Takizawa, Kenji; Tezduyar, Tayfun E.: SUPG/PSPG computational analysis of rain erosion in wind-turbine blades (2016)
  19. Takizawa, Kenji; Tezduyar, Tayfun E.; Asada, Shohei; Kuraishi, Takashi: Space-time method for flow computations with slip interfaces and topology changes (ST-SI-TC) (2016)
  20. Takizawa, Kenji; Tezduyar, Tayfun E.; Kuraishi, Takashi; Tabata, Shinichiro; Takagi, Hirokazu: Computational thermo-fluid analysis of a disk brake (2016)

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