motion-of-two-superimposed-layers
https://github.com/comphy-lab/motion-of-two-superimposed-layers
Science Score: 44.0%
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Low similarity (5.2%) to scientific vocabulary
Repository
Basic Info
- Host: GitHub
- Owner: comphy-lab
- Language: MATLAB
- Default Branch: main
- Size: 59.6 MB
Statistics
- Stars: 0
- Watchers: 1
- Forks: 0
- Open Issues: 0
- Releases: 0
Metadata Files
README.md
Prosperetti
contains a matlab script (NumericalinverseLTProsperetti.m) that numerically inverts the dimensionless amplitude in Laplace space for the interface between two superimposed fluids and a matlab script (Compareamplitudes.m) that compares the amplitude from the numerical inverse LT to the amplitude data from a Basilisk simulation. In order to run NumericalinverseLT_Prosperetti.m, you need to download the Numerical Inverse Laplace Transform package from Tucker McClure (2013).
I've included some data from my Basilisk simulation, labelled "amplitude_Ga(...).dat", and the corresponding figures where this data is compared to the numerically inverted LT data, labelled "Ga(...).png".
Brief explanation of what we're doing here: For a system of two superimposed viscous fluids, such as air and water in the context of a surface gravity wave, and where the oscillation of the interface between the fluid is small, an expression for the amplitude of the interface can be derived in Laplace space, as demonstrated by Prosperetti in 1981. However, in real space a general expression doesn't exist, except in cases where the dynamic viscosity of both fluids is identical or when one of the fluids is devoid of density and viscosity. By numerically inverting the amplitude expression of the interface from the Laplace space (Eq 22 and 23 Prosperetti 1981) to the real space, one can use this numerical data to compare it with the simulation data of the amplitude of the interface in order to check the validity of the simulation.
Owner
- Name: Computational Multiphase Physics (CoMPhy) Lab
- Login: comphy-lab
- Kind: organization
- Email: contact@vatsalsanjay.com
- Location: Netherlands
- Repositories: 1
- Profile: https://github.com/comphy-lab
Citation (CITATION.cff)
# This CITATION.cff file was generated with cffinit.
# Visit https://bit.ly/cffinit to generate yours today!
cff-version: 1.2.0
title: >-
Numerical Inverse LT of Amplitude of two viscous
superposed fluids
message: >-
If you use this software, please cite it using the
metadata from this file.
type: software
authors:
- given-names: Valentin
family-names: Rosario
email: vrosario@bluewin.ch
affiliation: UvA
- given-names: Vatsal
family-names: 'Sanjay '
email: contact@vatsalsanjay.com
affiliation: University of Twente
identifiers:
- type: url
value: >-
https://www.mathworks.com/matlabcentral/fileexchange/39035-numerical-inverse-laplace-transform
description: >-
Tucker McClure (2024). Numerical Inverse Laplace
Transform
- type: doi
value: 10.1063/1.863522
description: >-
Motion of two superposed viscous fluids, Andrea
Prosperetti
repository-code: >-
https://github.com/Computational-Multiphase-Physics/Motion-of-two-superimposed-layers