carlos/Spring 2023 plans

Goals

  • Revise and submit the manuscript on iterative Riemann solvers.
  • Implement a fully working 2D solver in Geoclaw for dispersive water waves.
  • Write a manuscript regarding nonreflecting BCs for the piston problem of the Euler equations.

Week-by-week plan

Jan. 22-26:

  • Revise abstract and introduction of iterative Riemann solvers paper to highlight contributions.
  • Write and submit abstract for ICIAM.

Jan. 29 - Feb. 2:

  • Submit iterative Riemann solvers paper.
  • Start writing a document with relevant literature for dispersive water waves (Bousinnesq type) models.

Feb. 5-9:

  • Continue with 1D implementation in classic Clawpack of solver for hyperbolic relaxation of BTEs.
  • Validate the Pyclaw numerical solution of Escalante’s model with real-world data. In particular, check why the numerical solitary wave seems to be translated with respect to the data from Synolakis experiment: Is it the initial condition? Is there a bug in the code? Is it the method that we are using to introduce dissipation (transition to SWEs)?

February:

  • Get a working 1D implementation in classic Clawpack of Escalante’s dispersive water wave model.
  • Literature review for piston problem paper

March:

  • Get a 2D Pyclaw implementation of Escalante’s dispersive water wave model, hopefully with some potential ideas for transition to SWEs. Maybe this could be done before Geoclaw’s 1D implementation
  • Begin writing piston problem paper, maybe some short drafts of each section.

April:

  • Get a working 2D implementation in classic Clawpack of Escalante’s dispersive water wave model This will probably involve plane waves over a rectangular canal first. …