García Hernández, Miguel ÁngelNegreanu, MihaelaUreña, FranciscoVargas Ureña, Antonio Manuel2024-12-172024-12-172024-07-25A. García, M. Negreanu, F. Ureña, A.M. Vargas, Numerical solution of a hydrodynamic model with cavitation using finite difference method at arbitrary meshes, Applied Numerical Mathematics, Volume 205, 2024, Pages 195-205, ISSN 0168-9274, https://doi.org/10.1016/j.apnum.2024.07.0071873-5460https://doi.org/10.1016/j.apnum.2024.07.007https://hdl.handle.net/20.500.14468/24951This is an Accepted Manuscript of an article published by Elsevier in "Applied Numerical Mathematics, Volume 205, 2024, Pages 195-205", available at: https://doi.org/10.1016/j.apnum.2024.07.007. (https://www.sciencedirect.com/science/article/pii/S0168927424001855) Este es el manuscrito aceptado del artículo publicado por Elsevier en "Applied Numerical Mathematics, Volume 205, 2024, Pages 195-205", disponible en línea: https://doi.org/10.1016/j.apnum.2024.07.007. (https://www.sciencedirect.com/science/article/pii/S0168927424001855)In this paper, we investigate the implementation of the finite difference method on arbitrary meshes in conjunction with a fixed-point algorithm for the lubrication problem of a journal bearing with cavitation, considering the Elrod-Adams model. We establish numerical properties of the generalized finite difference scheme and provide several illustrative examples.eninfo:eu-repo/semantics/openAccess12 Matemáticas::1206 Análisis numéricoartículoTribologyGeneralized Finite Difference MethodElrod-Adams, Journal BearingCavitation