PDEBench Datasets

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 ORCID logo; Praditia, Timothy ORCID logo; Leiteritz, Raphael ORCID logo; MacKinlay, Dan ORCID logo; Alesiani, Francesco ORCID logo; Pflüger, Dirk ORCID logo; Niepert, Mathias ORCID logo
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