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[01004] An Error Estimate for an Implicit-Upwind Finite Volume Scheme for Boussinesq Model

  • Session Time & Room : 2E (Aug.22, 17:40-19:20) @E702
  • Type : Contributed Talk
  • Abstract : This study contains an error estimate for a Finite Volume Method-based Implicit-Upwind scheme for the d-dimensional(d=2 or 3) Boussinesq Model, which describes several buoyancy-driven Hydrodynamic phenomena such as natural-convection in a cavity and Marsigli Flow. For each time level, the L2- norms of the error for the temperature and velocity components are found to be of order (h + k), where h is the spatial grid size and k is the time step size.
  • Classification : 65M08, 65M15, 65N08, 65N15
  • Format : Talk at Waseda University
  • Author(s) :
    • Chitranjan Pandey (Indian Institute of Technology Kanpur, India)
    • B.V. Rathish Kumar (Indian Institute of Technology Kanpur, India)