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[CT105]

[00477] Relaxation process of Cahn–Hilliard equations with dynamic boundary conditions

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : This talk is concerned with a numerical analysis of the initial value problem for the Cahn–Hilliard equation with dynamic boundary conditions in one-dimensional space, using a structure preserving scheme based on the discrete variational derivative method. We discuss the relationship between the parameter related to the time evolution on the boundary and the time it takes for the numerical solution to approach a stationary solution.
  • Classification : 65M22, 82C26, 65M06
  • Author(s) :
    • Keiichiro Kagawa (Waseda University)
    • Yoshihiro Yamazaki (Waseda University)

[01384] Adaptive coupling method for multi-domain time integration for lithium-ion battery simulations

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : The multiphysics and multiscale problem of simulating lithium-ion batteries at microscale is approached with a multi-domain time integration technique. The sub-domains of the electrolyte and the solid phase are simulated independently and coupled at certain interval. We obtain the adaptive coupling interval based on the error estimate evaluated on the Bulter-Volmer current density flux at the interface between the electrolyte and solid domains. The results are presented to discuss the computational benefits of such schemes.
  • Classification : 65M22, 65M12, 65Y99, 65Z05
  • Author(s) :
    • Ali ASAD (CMAP, Ecole Polytechnique)
    • Romain de Loubens (TotalEnergies One Tech)
    • Laurent François (ONERA, DMPE)
    • Laurent Séries (CMAP, Ecole Polytechnique)
    • Marc Massot (CMAP, Ecole Polytechnique)

[02604] Particle dynamics in the KP approximation

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : The Kadomtsev-Petviashvili (KP) equation is a model equation describing weakly nonlinear dispersive and small amplitude waves propagating in a quasi-two-dimensional situation. Encoded in the KP model are relations that may be used to reconstruct the velocity fields in the fluid below a given surface wave. In this talk, velocity fields associated to exact solutions of the KP equation are found, and particle trajectories are computed numerically. The solutions treated here comprise the one line-soliton solution and two-soliton solutions.
  • Classification : 65M25, 37M05
  • Author(s) :
    • Juan-Ming Yuan (Providence University)
    • Jen-Hsu Chang (National Yang Ming Chiao Tung University )
    • Henrik Kalisch (University of Bergen)
    • Yusuke Shimabukuro (Math. Inst.)

[02654] Convergence analysis of Element-free Galerkin method for singularly perturbed problems

  • Session Date & Time : 5D (Aug.25, 15:30-17:10)
  • Type : Contributed Talk
  • Abstract : The aim of the present study is to focus on convergence and stability analysis of the singularly perturbed problems. The proposed method does not require element connectivity and is therefore highly suitable for insertion or deletion of nodes while refining the mesh. The method utilizes least squares approach to generate the shape functions and Lagrange multiplier approach has been utilized to incorporate the boundary conditions. Numerical results verifies the theoretical findings.
  • Classification : 65M30, 65M32, 65M38, 65M25, 65M60
  • Author(s) :
    • Vivek Sangwan (Thapar Institute of Engineering and Technology Patiala, Punjab)
    • Jagbir Kaur (Thapar Institute of Engineering and Technology Patiala, Punjab)