A brief update on the status of the Allen-Cahn MMS benchmark problem (BM7) at the CHiMaD Phase Field Methods Workshop VIII

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