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Small Improvements to Gaussian Random Field #48

Merged
merged 2 commits into from
Oct 22, 2024
Merged

Small Improvements to Gaussian Random Field #48

merged 2 commits into from
Oct 22, 2024

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Ceyron
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@Ceyron Ceyron commented Oct 22, 2024

  1. Sets the amplitude modifier of the power-law for the mean mode to 1.0 to retain the mean energy from the original white noise.
  2. Adds a comment on why there is a 2.0 in the denominator of the power-law as detailed in Gaussian Random Field uses wrong exponent #9

@Ceyron Ceyron merged commit 3a17946 into dev Oct 22, 2024
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@Ceyron Ceyron deleted the grf-improvement branch October 22, 2024 11:52
Ceyron added a commit that referenced this pull request Oct 23, 2024
* Also run pre-commit on dev

* Update docs requirements

* Remove old requirements

* Remove no longer needed setup.py

* No longer target incompatible Python versions

* Add credits and improve settings

* Wrap FFT for specific array structures in Exponax (#4)

* Add custom wrapped FFT calls

* Rewrite derivative routines to use wrapped FFT calls

* Make number of spatial dims optional

* Run black

* Correctly declare as optional

* Use wrapped routines

* Use wrapped routines

* Use wrapped routines

* Use wrapped routines

* Use wrapped routines

* Use wrapped routines

* Export the spectral submodule

* Add more details on usage

* Start documentation of spectral module

* Stepper restructure (#21)

* Move reaction into stepper

* Adapt imports in tests

* Move linear timesteppers into separete files

* Move generic physical stepper into submodule

* Rename to nonlinear

* Correctly export in submodule

* Move utilities

* Export generic utilities

* Fully translate linear generic stepper

* Fully translate convection stepper

* Fully translate generic nonlinear stepper

* Fully translate generic Gradient norm stepper

* Correctly forward dealiasing fraction

* No need to set dealiasing fraction

* Fully translate generic polynomial stepper

* Don't translate vorticity convection

* Remove normalized submodule

* Remove no longer relevant exports

* Export generic stepper

* Fix issues with dealiasing_fraction arguments

* Adapt tests

* Remove commented sections

* Adapt cross-references

* New docs layout to better reflect the API

* Add a boilerplate for the overview

* Consistent docs (#26)

* Add documentation to base

* Add documentation to etdrk core

* Adapt to Equinox style

* Change to Equinox style

* Change to Equinox style

* Change to Equinox style

* Fix typo

* Consistent documentation

* Improve nonlin fun base documentation

* Change to Equinox style

* Improve docs for convection

* Improve docs for gradient norm

* Improve docs for combined general nonlinearity

* Fix docstring

* Improve and fix documentation

* Fix broken link

* Adapt to Equinox style

* Improve documentation

* Add clarification

* better wording

* Fix convection difficulty computation

* Improve doc of generic gradient norm stepper

* Add docstring

* Add documentation

* Add documentation

* Add documentation

* Use correct tuple typing (#27)

* Add type hints (#28)

* Fourier repeated stepper (#29)

* Implement logic of fourier substepping

* Forward .step() to call signature with shape check

* Add hints from Base Stepper

* Add hints on cost-saving

* Also add hint to constructor

* Add a test for the new repeated stepper

* Add CI for running a test on PRs

* Fix repeated Python versions

* Fourier Interpolation and Up/Downsampling (#33)

* Add simple Fourier interpolator

* Add 1D tests

* Add tests in 2d

* Loosen tests

* Fix the generalization to 2d

* Add tests in 3d

* Forward indexing convention

* Correctly use ellipsis

* Add documentation

* Add documentation

* Add utility to get modes slices

* Add test for mode slice generation

* Return tuples

* Utility to move between resolutions

* Add tests for mapping between resolutions

* Fix issue with oddball sanity

* Add new utilities to documentation

* Add documentation

* Add return type hint

* Simple showcase of new functions

* Properly rerun notebook

* Add PyTest dependency

* Fix tests to use tuples

* Loosen requirements on (decaying) Burgers problem

* Add requirement on 3d volume renderer

* Use quotes to correctly get 3.10

* Ignore test requiring GPU

* Remove vape dependency because we no longer test for it

* Spectral updates (#35)

* Preliminary function to compute the spectrum

* Potential improvement to spectrum computation

* Add hint on enstrophy

* Fix on wavenumber norm computation

* Rename to better reflect its effect on oddball mode

* Add tests on filter mask

* Improve first half of spectral documentation

* Merge common subexpressions

* Extend and fix documentation

* Add experimental convinience function to extract the Fourier coefficients

* Unify the creation of scaling arrays

* Test scaling array for norm_compensation

* Add tests for coefficient extraction in 1D

* Test for coefficient extration in 2D

* Enhance docstring

* Remove experimental function

* Fix spectrum function

* Export get_spectrum instead of make_incompressible

* Adapt docs

* Use proper links

* Enhance docstring

* Enhance docstring

* Test the spectrum creation

* Restructure docstring

* Tests helper utilities for fft setup

* Hyperviscous kdv [BREAKING] (#36)

* Have the dispersion operator being created seperately

* Make KdV hyper-viscous by default

* Remove unnecessary copy

* Requires new coefficients to work with changed defaults in KdV

* Fourier Coefficient Extractor (#38)

* Add function

* Enhance docstring

* Change rounding default

* Add coefficient extractor to docs

* Quicker spectrum in 1D

* More validation (#39)

* Add note

* Add 2d and 3d advection

* Add diffusion analytical solution in 2D

* Add diffusion test in 3D

* Ensure all presets are working

* Employ a fix for single facets

* Use Exponax viz routines

* Also employ fix for faceted animations

* Fix defaults for Kolmogorov

* Change to exponax viz routines

* Add 3D dynamics

* Add hint on where to find the reference qualitative rollouts

* Re-Execute Notebook

* Re-Execute Notebook

* Re-Execute notebook

* Start with a validation notebook for KdV

* Test if KdV without convection is purely linear

* Finished KdV soliton comparison

* Faster way to compute the spectrum binning in higher dimensions

* Improved version of kolmogorov comparison

* Improved Metrics System (#40)

* Start implementing metrics tests

* Starting a notebook on validating the metrics

* [WIP] Start generalizing the fourier nRMSE to allow for derivative based losses

* Set up a new structure for metrics

* New export structure

* Overwrite the existing metrics submodule

* Adapt tests because domain_extent is now considered correctly

* Test against analytical solution

* Fix parameterization of test

* Start set up with a new fourier metrics implementation

* Ensure correct shape

* Add first test on Fourier aggregation

* Add basic abolute metrics, more TODO

* Port the correlation metric

* New API in docs

* Port new spatial metrics to API docs

* Rework correlation documentation

* Add drafts on an advanced background notebook on metrics and their relation to functional norms

* Fix the scaling in the Fourier aggregation

* Use pytest approx

* Fix scaling

* Add equivalence test of Fourier and spatial aggregation

* Rework implementations

* Remove mean correlation

* Add soboleb based metrics

* Add helper function to apply metric functions on batched states

* Test with non-unit domain

* Start with a low-level introduction to metrics

* Add basics notebook

* Adapt API docs

* Add to API docs

* Add documentation to spatial metrics

* Reference does not be zero in normalized metrics

* Add documentation

* Fix documentation

* Test Sobolev against manual adding of derivatives with fourier-base metrics

* Fix typo

* Add documentation

* Add tests on Filtering

* Add notes on preliminary notebook

* Fix broken links

* Also add warning to advanced metrics notebook

* Continue with the metric convergence notebook, still WIP

* Add example on Sobolev usage

* Finish validation notebook

* Add temporal convergence notebook (#41)

* Add warning for KS conservative in higher dimensions

* Symmetric Metrics & Metrics improvements (#44)

* Extend docstring for symmetric metrics

* Improve aggregator docstring

* Fix that identity is only guaranteed for L^p norm

* Fix docstring

* Implement symmetric mode

* Fix missing sqrt

* Add symmetric versions for MAE, MSE, and RMSE

* Add new symmetric metrics to documentation

* Add test for symmetric metrics

* Ensure mean is only taken over axis zero in case there are additional axes

* Add details

* Add non-conservative convection term (#46)

* add non-conservative convection term

* fix errors in docstring

* update docstring

* use the dealiased value for non-conservative convection

* Fix non-forwarded conservative flag

* Small Improvements to Gaussian Random Field (#48)

* Retain mean mode from white noise

* Add comment on why there is a 2.0 in denominator

* Polynomial Stepper Fix (#49)

* Have general diffusion coefficient consisten with norm/diff

* Use correct sign on quadratic nonlinearity

* Conservative KS should use conservative convection (#50)

* Conservative KS should use conservative convection

* Adapt tests

* Consistent Generic Steppers (#52)

* Use consistent attribute names

* Forward API changes to tests

* Forward changes to qualitative rollout

* Ensure single-channel convection nonlin is conservative (#53)

* Rework KS Attributes (#54)

* Remove name of diffusivities from combustion KS

* Remove name of diffusivities from conservative KS

* Foward changes to tests

* Fix missing factor of 0.5

* Rework 1D example notebook

* Docs tweak (#55)

* Change to proper markdown

* Add KS conservative docstring

* Re-Execute IC notebook

* Rerun general and normalized notebookt

* Rerun subclassing example

* Rerun showcase 2D

* Add solver overview in 3D

* Add 3D Solver overview to docs

* Automatically deduce version number

---------

Co-authored-by: Qiang <[email protected]>
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