Registered Data

[CT103]

  • Session Time & Room
    • CT103 (1/1) : 5D @E508 [Chair: Julia Novo]
  • Classification
    • CT103 (1/1) : Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M)

[00738] Proper Orthogonal Decomposition methods for the Navier Stokes equations

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E508
  • Type : Contributed Talk
  • Abstract : In this talk we study numerical approximations to the incompressible Navier-Stokes equations by means of proper orthogonal decomposition (POD) methods. Several questions are considered: the influence of including snapshots that approach the velocity time derivative and the influence of considering different discretizations for the nonlinear term in the full order model and the reduced order model. Error bounds with constants independent of the Reynolds numbers are obtained in the numerical analysis.
  • Classification : 65M12, 65M15, 65M60
  • Format : Talk at Waseda University
  • Author(s) :
    • Julia Novo (Universidad Autónoma de Madrid)

[00743] Recent Advances on POD methods for the Navier-Stokes equations.

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E508
  • Type : Contributed Talk
  • Abstract : We present some recent advances on proper orthogonal decomposition (POD) methods for the Navier-Stokes equations. Among them, recovering the pressure in a robust manner when the snapshots are discretely divergence-free. We analyze the different sources of error and how they affect the pressure recovery. We also study how to adapt the POD method for varying values of the Reynolds number.
  • Classification : 65M12, 65M15, 65M60
  • Format : Talk at Waseda University
  • Author(s) :
    • Bosco García-Archilla (Universidad de Sevilla)

[01847] Non-reflective boundary conditions for the piston problem of gas dynamics

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @E508
  • Type : Contributed Talk
  • Abstract : We consider the piston problem of gas dynamics, described by the Lagrangian formulation of the Euler equations for an ideal compressible gas. While a highly accurate numerical solution can be obtained in the interior of the domain through state-of-the-art techniques like WENO reconstruction and SSP-RK time-stepping, boundary discretization can lead to unphysical reflections. We investigate and implement several efficient boundary conditions to deal with this problem without significantly increasing the size of the computational domain.
  • Classification : 65M08, 65M22, 76N30, 35L04, 35L65
  • Format : Talk at Waseda University
  • Author(s) :
    • Carlos Muñoz (KAUST)