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can we operator split within VODE?

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Assessment

Difficulty
5/5
Estimated time
Over a week
Newbie friendliness
25/100
Issue type
Feature
Clarity
Needs clarification
Activity status
Stale
Tech stack
cpp
Domain
hpc

Research direction

Start by locating the VODE implementation and its current coupled energy/species update and Jacobian path. Analyze whether the proposed explicit temperature treatment preserves the required accuracy and stability, and document the resulting design and validation criteria for the operator split.

Written by the indexing model from the issue text.

Description

integrator

Right now we solve the system:

$X^{n+1}_k = \dot{\omega}_k (\rho, T^{n+1}, X_k^{n+1})$
$e^{n+1} = \dot{S} (\rho, T^{n+1}, X_k^{n+1})$

but what if we treated the energy/temperature update explicitly. We are substepping in VODE, so we could still be accurate / stable (?) if we did:

$X^{n+1}_k = \dot{\omega}_k (\rho, T^{n}, X_k^{n+1})$
$e^{n+1} = \dot{S} (\rho, T^{n}, X_k^{n+1})$

the advantage of this is that the Jacobian then does not need any temperature derivatives, significantly simplifying it and making issues like #729 a non-issue.

Dominant language
C++
Stars
44
Forks
46
Avg merge
3d 7h
Merged PRs (30d)
10

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