Is Matlab Suitable for Solving the Euler Equations in Fluid Dynamics?

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Discussion Overview

The discussion centers on the suitability of Matlab for solving the Euler equations in fluid dynamics, particularly in the context of gas jet expansion and its implications for modeling plasma physics. Participants explore numerical methods, potential challenges, and the relationship between different fluid dynamics concepts.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant inquires about the appropriateness of Matlab for solving the Euler equations, expressing a lack of experience with the software.
  • Another participant asks for clarification on the specific problem being addressed, indicating a need for more detail.
  • A participant describes the problem as the expansion of a gas jet and presents a specific form of the Euler equations relevant to steady-state conditions.
  • It is suggested that Matlab is versatile for various computations, although there are memory limitations that may be encountered with very heavy computations.
  • Concerns are raised about the compatibility of the terms "jet" and "Euler Equations" in fluid mechanics, suggesting a potential contradiction in the context of the discussion.
  • One participant mentions using the gas expansion problem as a precursor to exploring more complex issues in plasma physics, noting that plasma can be modeled with the Euler equations under certain simplifications.
  • Another participant agrees that ordinary fluids can also be modeled with the Euler equations, but emphasizes the influence of the mixing layer dynamics in high Reynolds number jets.

Areas of Agreement / Disagreement

Participants express differing views on the relationship between gas jets and the Euler equations, with some questioning the compatibility of these concepts. There is no consensus on the best approach for modeling the discussed phenomena.

Contextual Notes

Participants highlight the need for further clarification on the specifics of the gas jet problem and its implications for fluid dynamics and plasma physics, indicating that assumptions and definitions may vary among contributors.

Who May Find This Useful

This discussion may be of interest to individuals exploring numerical methods in fluid dynamics, those considering the use of Matlab for computational modeling, and researchers in plasma physics looking for foundational insights related to the Euler equations.

H_man
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Hi,

I was wondering if Matlab was the sort of program I'd want to solve the Euler Equations (fluid dynamics).

And if it is, I am sure this must be a very standard problem.. does anybody know of any tutorials for this sort of problem as I have never used matlab?


:-p
 
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What are you solving?
 
Expansion of a gas jet.

From what I know of numerical methods (which is not enough) I think it would be a shame to do it from scratch.

The particular equation takes the form:


\nabla\cdot(rU)U + \nabla p = 0

(for the steady state case)
 
You can do almost whatever you want with Matlab. It has a limit in memory though. But for reaching that limit your computation should be very heavy.

What do you mean with the expansion of a gas jet? Don't be afraid about being more explicit, nobody here is going to steal your idea or your project. So please elaborate your answer a little bit more. Even in your post I see the words "jet" and "Euler Equations" which are two totally contradictory statements. They don't get along very well in fluid mechanics.
 
I had in mind playing with the gas expansion problem as a stepping stone to more interesting problems in plasma physics.

With certain simplifications Plasma can be modeled with the Euler equations (see most textbooks on MHD).
 
H_man said:
I had in mind playing with the gas expansion problem as a stepping stone to more interesting problems in plasma physics.

With certain simplifications Plasma can be modeled with the Euler equations (see most textbooks on MHD).


Sure, with certain simplifications Ordinary Fluids can be modeled with the Euler equations too.

As far as ordinary fluids are concerned, even though the core of the jet is at high enough Reynolds numbers to assume Euler approximation, turns out to be that the formation of the mixing layer in the radial limit of the jet influences a lot its dynamics.

That's why I was asking you. Anyway I think you wouldn't have to worry working properly with such rariefied flows.
 

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