Matteo/2012_summer_research_plan

Travel

  • June 25-29: @ICOSAHOM (Tunisa)
  • July 9-22 31: @VUB (Belgium)
  • August 5-9: @CFD conference (USA, Virginia)
  • August 12-17 @EMG conference (Schwetzingen, Germany)
  • August 20-21 @Politecnico of Milan, Department of Aerospace Engineering (Milan, Italy)

Papers to be submitted in summer

  1. Optimization of many-stage Runge-Kutta time integrators for spectral difference methods with David and Willem Deconinck (Journal of Scientific Computing)
    • Complete numerical experiments and conclusions
    • Finish writing
  2. Optimal explicit linearly stable SSP Runge-Kutta methods for spectral difference scheme with David
    • Test SSP methods for Burgers equations (p = 2,4)
    • Minmod limiter
    • Writing
  3. Large eddy simulation of a low Mach number flow in a muffler with spectral difference with Professor C. Lacor
    • Numerical experiments for two Mach numbers (explicit solvers)
    • Comparison with experimental data (PIV)
    • Writing

Developing research projects

Direct development:

  1. Code p-Multigrid for spectral difference with Willem Deconinck
    • Assemble all the code tools already available
    • Test it with some toy examples
  2. Optimization of explicit Runge-Kutta for spectral difference and multigrid with David and Willem Deconinck
    • Get meaningful spectra for SD
    • Re-oder eigenvalues as a function of the wave number
    • Implement/add to the the code the optimization of damping
    • Writing
  3. Optimization of explicit Runge-Kutta for spectral difference with application to aeroacoustics with David
    • Find optimal ERK
    • Test them with some nice examples (Muffler?,NACA0012 profile)
    • Writing
  4. On the positivity of spectral difference
    • Give code to Zoltan
    • Analysis
    • Testing
    • Writing

Week-by-week outline