{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T01:00:46Z","timestamp":1760058046796,"version":"build-2065373602"},"reference-count":27,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T00:00:00Z","timestamp":1741824000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Sistema Nacional de Investigaci\u00f3n (SNI)"},{"name":"Secretar\u00eda Nacional de Ciencia, Tecnolog\u00eda e Innovaci\u00f3n (SENACYT), Panam\u00e1"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computation"],"abstract":"<jats:p>This work develops a novel two-dimensional, depth-integrated, non-hydrostatic model for wave propagation simulation using a weighted average non-hydrostatic pressure profile. The model is constructed by modifying an existing non-hydrostatic discontinuous\/continuous Galerkin finite-element model with a linear, vertical, non-hydrostatic pressure profile. Using a weighted average linear\/quadratic non-hydrostatic pressure profile has been shown to increase the performance of earlier models. The results suggest that implementing a weighted average non-hydrostatic pressure profile, in conjunction with a calculated or optimized \u04e8 weight parameter, improves the dispersion characteristics of depth-integrated, non-hydrostatic models in shallow and intermediate water depths. A series of analytical solutions and data from previous laboratory experiments verify and validate the model.<\/jats:p>","DOI":"10.3390\/computation13030073","type":"journal-article","created":{"date-parts":[[2025,3,13]],"date-time":"2025-03-13T06:53:00Z","timestamp":1741848780000},"page":"73","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Non-Hydrostatic Galerkin Model with Weighted Average Pressure Profile"],"prefix":"10.3390","volume":"13","author":[{"given":"Lucas","family":"Calvo","sequence":"first","affiliation":[{"name":"Center for Hydraulic and Hydrotechnical Research, Technological University of Panama, Panama 0819-07289, Panama"},{"name":"National Research System, SNI-SENACYT, Panama 0816-02852, Panama"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4092-1053","authenticated-orcid":false,"given":"Diana","family":"De Padova","sequence":"additional","affiliation":[{"name":"Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via E. Orabona 4, 70125 Bari, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6477-8714","authenticated-orcid":false,"given":"Michele","family":"Mossa","sequence":"additional","affiliation":[{"name":"Department of Civil, Environmental, Land, Building Engineering and Chemistry (DICATECh), Polytechnic University of Bari, Via E. Orabona 4, 70125 Bari, Italy"}]}],"member":"1968","published-online":{"date-parts":[[2025,3,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"678","DOI":"10.1061\/(ASCE)0733-9429(1998)124:7(678)","article-title":"Numerical Simulation of 3D Quasi-Hydrostatic, Free-Surface Flows","volume":"124","author":"Casulli","year":"1998","journal-title":"J. Hydraul. 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