{"doi":"10.1017/s0022112079002585","title":"Large amplitude progressive interfacial waves","abstract":"<jats:p>This paper contains a study of large amplitude, progressive interfacial waves moving between two infinite fluids of different densities. The highest wave has been calculated using the criterion that it has zero horizontal fluid velocity at the interface in a frame moving at the phase speed of the waves. For free surface waves this criterion is identical to the criterion due to Stokes, namely that there is a stagnation point at the crest of each wave. I t is found that as the density of the upper fluid increases relative to the density of the lower fluid the maximum height of the wave, for fixed wavelength, increases. The maximum height of a Boussinesq wave, which has the density almost the same above and below the interface, is 2·5 times the maximum height of a surface wave of the same wavelength. A wave with air over the top of it can be about 2% higher than the highest free surface wave. The point at which the limiting criterion is first satisfied moves from the crest for free surface waves to the point half-way between the crest and the trough for Boussinesq waves. The phase speed, momentum, energy and other wave properties are calculated for waves up to the highest using Padé approximants. For free surface waves and waves with air above the interface the maximum value of these properties occurs for waves which are lower than the highest. For Boussinesq waves and waves with the density of the upper fluid onetenth of the density of the lower fluid these properties each increase monotonically with the wave height.</jats:p>","journal":"Journal of Fluid Mechanics","year":1979,"id":36204,"datarank":11.962126798327196,"base_score":4.6443908991413725,"endowment":4.6443908991413725,"self_citation_contribution":0.6966586348712059,"citation_network_contribution":11.26546816345599,"self_endowment_contribution":0.6966586348712059,"citer_contribution":11.26546816345599,"corpus_percentile":null,"corpus_rank":null,"citation_count":103,"citer_count":102,"citers_with_citation_signal":92,"citers_with_endowment":92,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":null,"is_oa":false,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":null,"fair_score":48.75,"fair_percentile":32.561262168512926,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":183850,"name":"Judith Y. Holyer","orcid":null,"position":0,"is_corresponding":false}],"reference_count":0,"raw_metadata":{"has_enrichment":true,"base_score":4.6443908991413725,"endowment":4.6443908991413725,"datacite_reuse_total":0,"file_count":0,"downloads":0,"views":0,"has_version_chain":false,"is_dataset":false,"is_oa":false,"pmid":"24523987","pmcid":null,"openalex_id":"https://openalex.org/W2009331069","authors":[],"funders":[],"total_grants":0,"fwci":3.667,"citation_percentile":0.91272882,"influential_citations":8,"citation_trend":[{"year":2012,"count":1},{"year":2013,"count":5},{"year":2014,"count":2},{"year":2016,"count":2},{"year":2017,"count":1},{"year":2018,"count":1},{"year":2019,"count":2},{"year":2020,"count":2},{"year":2021,"count":2},{"year":2022,"count":3},{"year":2023,"count":2},{"year":2025,"count":1},{"year":2026,"count":2}],"oa_status":"closed","license":"https://www.cambridge.org/core/terms","oa_locations":[{"url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022112079002585","host_type":"publisher"},{"url":"https://doi.org/10.1017/s0022112079002585","host_type":"journal"}],"fields_of_study":["Ocean Waves and Remote Sensing","Coastal and Marine Dynamics","Oceanographic and Atmospheric Processes","Physics"],"mesh_terms":[],"keywords":["Mechanical wave","Longitudinal wave","Wavelength","Physics","Wave shoaling","Free surface","Amplitude","Crest","Surface wave","Mechanics","Internal wave","Gravity wave","Breaking wave","Stokes wave","Boussinesq approximation (buoyancy)","Wave propagation","Love wave","Optics","Natural convection","Rayleigh number","Convection"],"sdg_mappings":[],"linked_datasets":[],"clinical_trials":[],"software_tools":[],"database_accessions":[],"source":"live","citation_network_status":"fetched"},"created_at":"2026-06-10T14:48:34.317207Z","pmid":null,"pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":100.0,"fair_a":70.0,"fair_i":0.0,"fair_r":25.0,"fair_zscore":0.0532,"fair_rationale":{"fair_score":48.75,"has_llm":false,"dimensions":{"F":{"name":"Findable","score":100.0,"criteria":[{"key":"f_has_doi","label":"Has a persistent DOI","kind":"deterministic","weight":1.0,"fraction":1.0,"signal":"DOI present","rationale":null},{"key":"f_repository_presence","label":"Indexed in repositories / literature DBs","kind":"deterministic","weight":1.0,"fraction":1.0,"signal":"datacite=0, pmcid=False, pmid=True","rationale":null},{"key":"f_persistent_ids","label":"Resolvable scholarly identifiers (OpenAlex)","kind":"deterministic","weight":0.5,"fraction":1.0,"signal":"OpenAlex id present","rationale":null}]},"A":{"name":"Accessible","score":70.0,"criteria":[{"key":"a_open_access","label":"Open Access / files deposited","kind":"deterministic","weight":1.5,"fraction":0.5,"signal":"files/OA location present but not flagged OA","rationale":null},{"key":"a_retrievable","label":"Free full text retrievable","kind":"deterministic","weight":1.0,"fraction":1.0,"signal":"2 OA location(s)","rationale":null}]},"I":{"name":"Interoperable","score":0.0,"criteria":[{"key":"i_linked_data","label":"Linked datasets / DataCite relations","kind":"deterministic","weight":1.0,"fraction":0.0,"signal":"linked_datasets=0, datacite=0","rationale":null},{"key":"i_standard_ids","label":"References data via standard accessions","kind":"deterministic","weight":1.0,"fraction":0.0,"signal":"accessions=0, trials=0","rationale":null}]},"R":{"name":"Reusable","score":25.0,"criteria":[{"key":"r_license","label":"Clear, open reuse license","kind":"deterministic","weight":1.5,"fraction":0.5,"signal":"license present (https://www.cambridge.org/core/terms)","rationale":null},{"key":"r_downloads","label":"Demonstrated reuse (downloads)","kind":"deterministic","weight":0.5,"fraction":0.0,"signal":"downloads=0","rationale":null},{"key":"r_version","label":"Versioned / maintained","kind":"deterministic","weight":0.5,"fraction":0.0,"signal":"no version chain","rationale":null},{"key":"r_dataset","label":"Classified as a data resource","kind":"deterministic","weight":0.5,"fraction":0.0,"signal":"not a dataset","rationale":null}]}},"suggestions":["Link the underlying datasets via DOIs / DataCite relations.","Reference data using standard accessions (e.g. GEO, PDB, ClinicalTrials.gov).","Maintain explicit versioning for the dataset.","Make the paper/data Open Access or deposit the files in an open repository.","Attach a clear, open reuse license (e.g. CC-BY or CC0)."],"model":null,"agent_version":"fair_agent_v1","fulltext_source":"abstract_only"},"fair_model":null,"fair_agent_version":"fair_agent_v1","fair_fulltext_source":"abstract_only","fair_has_llm":false,"fair_computed_at":"2026-06-10T16:19:50.965916Z","clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}