Tests to Make for Pulsation Modes - Githubissues

rboston628 / THRAIN

The Mighty White Dwarf Code

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Tests to Make for Pulsation Modes #23

Open rboston628 opened 5 months ago

rboston628 commented 5 months ago

Basic Tests

[x] negative test: mode SSR can be unacceptably large
[x] negative test: mode overlaps can be unacceptably large
[ ] mode SSRs scale like $N^{-4}$
[x] dimensionless frequency $\bar{\omega}^2$, frequency $f$, and period $T$ are correctly related
[ ] frequencies correctly scale with mode order $k$
[ ] frequencies correctly scale with $M$, $R$
[ ] frequency correctly relates to Lamb and BV frequencies
[x] mode order and mode numbers are correctly related

Cowling Mode Tests

[x] on some star, the 2x2 Cowling mode coefficient matrix equals 4x4 nonradial mode coefficient submatrix
[x] on the DummyStar, both Cowling and nonradial mode have same frequency, $\sqrt{L}$.

Nonradial Mode Tests

[x] for uniform star, mode frequencies correspond to Pekeris formula
[ ] for uniform star, mode frequencies correspond to exact solutions (this might be Cowling only)
[x] for uniform star, mode SSR and overlap are acceptably small
[x] for polytropes, mode frequencies correspond to tables from JCD-DJM 1994
[x] for polytropes, mode SSR is acceptably small
[ ] for polytropes, mode overlap is acceptably small

Artifacts

[ ] graph of errors against Pekeris formula across mode order $k$
[ ] graph of errors against Pekeris formula scaling with $N$
[ ] graph of scaling of errors on uniform star
[ ] graph of scaling of residuals on several star models
[ ] graph of scaling of eigenfunctions on several star models
[ ] table of differences against Pekeris formula
[ ] table of differences against JCD-DJM 1994

rboston628 commented 3 months ago

Some of these achieved in PR #24