Identification

Data Identification:

citation:

Citation:

Title:

Leading linear growth rates for steady uniform morphodynamic overland flows at different Froude numbers and grain diameters (NERC Grant NE/S00274X/1)

Date:

CI_Date:

Date Type:

creation

date:

2020-12-01

Identifier:

RS_Identifier:

code:

http://data.bgs.ac.uk/id/dataHolding/13607693

Abstract:

Shallow overland flows in steady state can become unstable and break up into destructive surges. The following data documents maximum growth rates for disturbances to uniform steady flows on a fixed slope in a one-dimensional shallow-layer model that incorporates the mechanics of erosion and deposition of monodisperse sediment, documented in sections 2 and 4 of the following freely available preprint: https://arxiv.org/abs/2007.15989. The data comprises the following 4 columns, separated by spaces: grain diameter, Froude number, solid fraction and maximum growth rate. Grain diameter refers to the characteristic diameter of erodible particles, non-dimensionalised by the steady flow depth h0. Froude number, Fr, is a dimensionless constant defined as Fr = u0 / sqrt(h0 * g'), where u0 is the velocity of the steady flow and g' is gravitational acceleration resolved perpendicular to the slope. Solid fraction is a number between 0 and 1 that describes the proportion of solid particles in the flowing mixture. A solid fraction of 0 denotes a purely fluid flow and a solid fraction of 1 denotes a saturated mixture containing a maximum packing of solid particles. Maximum growth rate refers to the largest linear growth rate for perturbations to a uniform flowing layer with the corresponding properties given in the prior 3 columns. The model formulation describes the dynamics of 4 unknown observables: flow height, flow velocity, solids concentration and bed height. By taking the 'maximum' in this case, we mean the maximum over these 4 flow fields that may be perturbed by an environmental disturbance and also the maximum over all possible wavelengths of disturbance. We note that in this dataset, flows with a maximum growth rate equal to zero or small positive values (e.g. up to machine precision) are stable; flows with strictly positive growth rate are unstable. Zero growth rate indicates that the maximum growth rate is given by a neutrally stable perturbation and such perturbations always exist for reasons of symmetry in the model. For each grain diameter and Froude number in the dataset, there exist two steady uniform states with different solid fractions. Therefore two files are supplied - one containing data for the more dilute states and the other containing data for the more concentrated states. These various technical details, as well as full documentation of the model and the parameters used are explained more fully in the aforementioned paper.

Point of Contact:

Responsible Party:

Individual Name:

Dr Jeremy Phillips

Organisation Name:

University of Bristol

Position Name:

Earth Sciences

Contact Info:

CI_Contact:

Address:

Delivery Point:

Wills Memorial Building, Queens Road, Clifton

city:

Bristol

Postal Code:

BS8 1RJ

e-mail:

not available

role:

principalInvestigator

Responsible Party:

Individual Name:

Jake Langham

Organisation Name:

University of Bristol

Position Name:

School of Mathematics

Contact Info:

CI_Contact:

Address:

Delivery Point:

Fry Building, Woodland Road

city:

Bristol

Postal Code:

BS8 1UG

e-mail:

not available

role:

originator

Responsible Party:

Individual Name:

Enquiries

Organisation Name:

British Geological Survey

Contact Info:

CI_Contact:

Address:

e-mail:

not available

role:

distributor

Responsible Party:

Individual Name:

Enquiries

Organisation Name:

British Geological Survey

Contact Info:

CI_Contact:

Address:

e-mail:

not available

role:

pointOfContact

Resource Maintenance:

MD_MaintenanceInformation:

maint. / update frequency:

notApplicable

Graphic overview:

Browse Graphic:

File Name:

https://resources.bgs.ac.uk/images/geonetworkThumbs/b5a2f6e0-6bb2-5684-e054-002128a47908.png

Descriptive Keywords:

Keywords:

keyword:

http://www.eionet.europa.eu/gemet/concept?cp=13&langcode=en&ns=5

keyword:

Geology

Thesaurus Name:

Citation:

Title:

GEMET - INSPIRE themes, version 1.0

Date:

CI_Date:

date:

2008-06-01

Date Type:

publication

Keywords:

keyword:

NGDC Deposited Data

keyword:

Fluid dynamics

Thesaurus Name:

Citation:

Title:

BGS Thesaurus of Geosciences

Date:

CI_Date:

date:

2022

Date Type:

revision

Keywords:

keyword:

https://webapps.bgs.ac.uk/services/ngdc/accessions/index.html

keyword:

NGDC Deposited Data

Type:

dataCentre

Keywords:

keyword:

NERC_DDC

Resource Constraints:

MD_LegalConstraints:

Access Constraints:

otherRestrictions

Other Constraints:

licenceOGL

Other Constraints:

Available under the Open Government Licence subject to the following acknowledgement accompanying the reproduced NERC materials "Contains NERC materials ©NERC [year]"

Other Constraints:

http://inspire.ec.europa.eu/metadata-codelist/LimitationsOnPublicAccess/noLimitations

MD_LegalConstraints:

Use Constraints:

otherRestrictions

Other Constraints:

The copyright of materials derived from the British Geological Survey's work is vested in the Natural Environment Research Council [NERC]. No part of this work may be reproduced or transmitted in any form or by any means, or stored in a retrieval system of any nature, without the prior permission of the copyright holder, via the BGS Intellectual Property Rights Manager. Use by customers of information provided by the BGS, is at the customer's own risk. In view of the disparate sources of information at BGS's disposal, including such material donated to BGS, that BGS accepts in good faith as being accurate, the Natural Environment Research Council (NERC) gives no warranty, expressed or implied, as to the quality or accuracy of the information supplied, or to the information's suitability for any use. NERC/BGS accepts no liability whatever in respect of loss, damage, injury or other occurence however caused.

Other Constraints:

Available under the Open Government Licence subject to the following acknowledgement accompanying the reproduced NERC materials "Contains NERC materials ©NERC [year]"

language:

eng

topicCategory:

geoscientificInformation

Extent:

Temporal Element:

TemporalExtent:

extent:

begin / end:

begin:

2020-12-01

end:

before

Distribution

Distribution:

Distributor:

Distributor Contact:

Responsible Party:

Individual Name:

Enquiries

Organisation Name:

British Geological Survey

Contact Info:

CI_Contact:

Address:

e-mail:

not available

role:

distributor

Transfer Options:

Digital Transfer Options:

onLine:

CI_OnlineResource:

linkage:

https://webapps.bgs.ac.uk/services/ngdc/accessions/index.html#item139765

name:

Data

function:

download

Data Quality

Data Quality:

Scope:

DQ_Scope:

level:

nonGeographicDataset

Level Description:

MD_ScopeDescription:

other:

non geographic dataset

Report:

Domain Consistency:

Result:

Conformance Result:

specification:

Citation:

Title:

INSPIRE Implementing rules laying down technical arrangements for the interoperability and harmonisation of Geology

Date:

CI_Date:

Date Type:

publication

date:

2011

explanation:

See the referenced specification

pass:

Domain Consistency:

Result:

Conformance Result:

specification:

Citation:

Title:

Commission Regulation (EU) No 1089/2010 of 23 November 2010 implementing Directive 2007/2/EC of the European Parliament and of the Council as regards interoperability of spatial data sets and services

Date:

CI_Date:

Date Type:

publication

date:

2010-12-08

explanation:

See http://eur-lex.europa.eu/LexUriServ/LexUriServ.do?uri=OJ:L:2010:323:0011:0102:EN:PDF

pass:

Lineage:

LI_Lineage:

statement:

The data was generated by numerical solution of the linear stability problem detailed in https://arxiv.org/abs/2007.15989. For each given grain diameter and Froude numbers in the dataset, the solid fraction for a steady state is computed using a numerical root-finding algorithm. Then using a numerical eigenvalue solver available in the Julia programming language, linear growth rates are obtained for (nondimensionalised) disturbance wavenumbers between 0 and 10^6. The maximum, or leading growth rate is then the maximum over the set of wavenumbers and the four linear stability modes.

Metadata

File Identifier:

b5a2f6e0-6bb2-5684-e054-002128a47908

language:

eng

Resource type:

nonGeographicDataset

Hierarchy Level Name:

non geographic dataset

Metadata Contact:

Responsible Party:

Organisation Name:

British Geological Survey

Contact Info:

CI_Contact:

phone:

CI_Telephone:

voice:

+44 115 936 3100

Address:

Delivery Point:

Environmental Science Centre,Keyworth

city:

NOTTINGHAM

administrative Area:

NOTTINGHAMSHIRE

Postal Code:

NG12 5GG

country:

United Kingdom

e-mail:

enquiries@bgs.ac.uk

role:

pointOfContact

Date Stamp:

2024-04-24

Metadata Standard Name:

http://vocab.nerc.ac.uk/collection/M25/current/GEMINI/

Metadata Standard Name:

UK GEMINI

Metadata Standard Version:

2.3

Dataset URI:

http://data.bgs.ac.uk/id/dataHolding/13607693