Matteo/2012_fall_research_plan

Travel

  • November 27-November 30: @11TH FINNISH MECHANICS DAYS
  • December 1-December 5: INVITED LECTURE @AALTO UNIVERSITY

Papers to be submitted in fall

  1. LES of a muffler (SD-LES vs. SD)
    • SD-LES results are now ready with P3 elements
    • FV computation is running 2nd-order FV computation completed
    • SD results are now ready with P3 elements

    • Revised paper partially written (1 week to complete it with new results)

  2. Probably a paper with some results related to project 1 in “Research projects, Defined”

Papers to revise after getting referee reports

  1. Optimized explicit Runge-Kutta schemes for spectral difference methods applied to wave propagation problems (with David and Willem; submitted to SISC)

Research projects

Defined

  1. Runge-Kutta stability optimization (with David)
  • Lower-order time discretizations with higher-order space discretizations (ongoing)
  • Optimized for SD and Navier-Stokes grids (ongoing)
  • Optimized methods with error estimators (DG?) (not yet started)
  • Optimized for accuracy (not yet started)
  • Optimized for multigrid (not yet started; I am reading the literature available)

Ideas

  1. Internal stability of ERK scheme with many stages (with David and Lajos)
  • Find if possible a way to predict the upper bound of the effective time step (discussed but not yet started)
  1. Implement DG in Pyclaw