trixi-framework / trixi-framework/TrixiParticles.jl
Discretizing Laplace operator
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- Dominant language
- Julia
- Stars
- 83
- Forks
- 24
- Avg merge
- 8d 18h
- Merged PRs (30d)
- 3
Description
Assuming incompressibility of the fluid, the viscous acceleration simplifies to
$$\frac{d\textbf{v}}{dt} = \frac{\eta}{\rho} \nabla^2 \textbf{v}$$
In Price 2012 the second derivative of a vector is given as
where
Why is Adami 2012 discretizing the above viscous acceleration this way:
Is this the same? Where is the factor of 2?
Contributor guide
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start with the Price 2012 and Adami 2012 discretizations shown in the issue, and trace how the viscous acceleration is represented in the repository's smoothed-particle hydrodynamics implementation. Clarify whether the formulations are equivalent and account for the apparent factor of 2; done means documenting a technically supported explanation.
Written by the indexing model from the issue text.
Assessment
- Tech stack
- julia
- Domain
- backend
- Issue type
- Documentation
- Difficulty
- 5/5
- Estimated time
- Over a week
- Activity status
- Stale
- Clarity
- Needs clarification
- Newbie friendliness
- 25/100