PDEBench Datasets

Dataset

DOI

This dataset contains benchmark data, generated with numerical simulation based on different PDEs, namely 1D advection, 1D Burgers', 1D and 2D diffusion-reaction, 1D diffusion-sorption, 1D, 2D, and 3D compressible Navier-Stokes, 2D Darcy flow, and 2D shallow water equation. This dataset is intended to progress the scientific ML research area. In general, the data are stored in HDF5 format, with the array dimensions packed according to the convention [b,t,x1,...,xd,v], where b is the batch size (i.e. number of samples), t is the time dimension, x1,...,xd are the spatial dimensions, and v is the number of channels (i.e. number of variables of interest).

More detailed information are also provided in our Github repository (https://github.com/pdebench/PDEBench) and our submitting paper to NeurIPS 2022 Benchmark track.

This version includes the debugged version of advection and Burgers equation solutions.

Identifier
DOI	https://doi.org/10.18419/darus-2986
Metadata Access	https://darus.uni-stuttgart.de/oai?verb=GetRecord&metadataPrefix=oai_datacite&identifier=doi:10.18419/darus-2986

Provenance
Creator	Takamoto, Makoto ; Praditia, Timothy ; Leiteritz, Raphael ; MacKinlay, Dan ; Alesiani, Francesco ; Pflüger, Dirk ; Niepert, Mathias
Publisher	DaRUS
Contributor	Leiteritz, Raphael; Takamoto, Makoto; MacKinlay, Dan; Praditia, Timothy; Alesiani, Francesco; Pflüger, Dirk; Niepert, Mathias
Publication Year	2022
Funding Reference	DFG EXC 2075 - 390740016
Rights	CC BY 4.0; info:eu-repo/semantics/openAccess; http://creativecommons.org/licenses/by/4.0
OpenAccess	true
Contact	Leiteritz, Raphael (Universität Stuttgart); Takamoto, Makoto (NEC Labs Europe); MacKinlay, Dan (CSIRO's Data61); Praditia, Timothy (Universität Stuttgart); Alesiani, Francesco (NEC Labs Europe)

Representation
Resource Type	HDF5 files; Dataset
Format	application/x-hdf5; application/x-h5
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Version	8.0
Discipline	Earth and Environmental Science; Environmental Research; Geosciences; Natural Sciences; Physics