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Benchmark #7 Update
Method of manufactured solutions problem for
the Allen-Cahn equation
Benchmark #7 Update
• Planning to start work on the paper soon
• Content:
– Motivation for a MMS benchmark problem,
specifically one that is close to a “real” phase field
solution
– Description of the benchmark and justification of
design decisions
– Example solutions
– Example of its use, comparing performance across a
parameter sweep over the interfacial thickness
• Compare codes? Compare other approaches?
• Need to keep this streamlined
The Parking Lot
• Detailed comparisons
– Codes
– FD vs FV vs FE vs Pseudospectral
– Explicit vs implicit
• Discussion of how the benchmark problems
leverage features on the website

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CHiMaD BM#7 Update (Steve DeWitt)

  • 1. Benchmark #7 Update Method of manufactured solutions problem for the Allen-Cahn equation
  • 2. Benchmark #7 Update • Planning to start work on the paper soon • Content: – Motivation for a MMS benchmark problem, specifically one that is close to a “real” phase field solution – Description of the benchmark and justification of design decisions – Example solutions – Example of its use, comparing performance across a parameter sweep over the interfacial thickness • Compare codes? Compare other approaches? • Need to keep this streamlined
  • 3. The Parking Lot • Detailed comparisons – Codes – FD vs FV vs FE vs Pseudospectral – Explicit vs implicit • Discussion of how the benchmark problems leverage features on the website