Extension of an exponential discretization scheme to multidimensional convection–diffusion problems
Llorente, Víctor J. ; Pascau, Antonio (Universidad de Zaragoza)
Resumen: ENATE (Enhanced Numerical Approximation of a Transport Equation) is a high-order exponential scheme for convection–diffusion problems, such as those that govern the transport of fluid properties in a flow field. The scheme was intended to be employed in fluid-related transport equations, although it can be used for any inhomogeneous second-order ordinary differential equation. The value of a variable
at a generic point is related to those of adjacent nodes via an algebraic equation. Thus, a three-point stencil is associated to each node. The coefficients of this equation contain integrals of some fluid and flow parameters. One important property is that the scheme allows to obtain a machine-accurate solution of an inhomogeneous transport equation if these integrals can be obtained analytically. As the scheme is essentially one-dimensional, getting the machine-accurate solution of multidimensional problems is not guaranteed even in cases where ENATE integrals are analytic along each coordinate. In this regard the paper presents a simple way of getting solutions in multidimensional problems while still using the one-dimensional formulation. Moreover, if the problem is such that the solution is machine-accurate in the one-dimensional problem along coordinate lines, it will also be for the multidimensional domain. Two different methods of evaluating those terms that come out of the discretization will be explained and compared in various cases.
Idioma: Inglés
DOI: 10.1016/j.compfluid.2022.105740
Año: 2022
Publicado en: Computers and Fluids 251 (2022), 105740 [18 pp.]
ISSN: 0045-7930
Factor impacto JCR: 2.8 (2022)
Categ. JCR: MECHANICS rank: 52 / 137 = 0.38 (2022) - Q2 - T2
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 72 / 110 = 0.655 (2022) - Q3 - T2
Factor impacto CITESCORE: 6.0 - Computer Science (Q2) - Engineering (Q1)
Factor impacto SCIMAGO: 0.968 - Engineering (miscellaneous) (Q1) - Computer Science (miscellaneous) (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material.
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at a generic point is related to those of adjacent nodes via an algebraic equation. Thus, a three-point stencil is associated to each node. The coefficients of this equation contain integrals of some fluid and flow parameters. One important property is that the scheme allows to obtain a machine-accurate solution of an inhomogeneous transport equation if these integrals can be obtained analytically. As the scheme is essentially one-dimensional, getting the machine-accurate solution of multidimensional problems is not guaranteed even in cases where ENATE integrals are analytic along each coordinate. In this regard the paper presents a simple way of getting solutions in multidimensional problems while still using the one-dimensional formulation. Moreover, if the problem is such that the solution is machine-accurate in the one-dimensional problem along coordinate lines, it will also be for the multidimensional domain. Two different methods of evaluating those terms that come out of the discretization will be explained and compared in various cases.
Idioma: Inglés
DOI: 10.1016/j.compfluid.2022.105740
Año: 2022
Publicado en: Computers and Fluids 251 (2022), 105740 [18 pp.]
ISSN: 0045-7930
Factor impacto JCR: 2.8 (2022)
Categ. JCR: MECHANICS rank: 52 / 137 = 0.38 (2022) - Q2 - T2
Categ. JCR: COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS rank: 72 / 110 = 0.655 (2022) - Q3 - T2
Factor impacto CITESCORE: 6.0 - Computer Science (Q2) - Engineering (Q1)
Factor impacto SCIMAGO: 0.968 - Engineering (miscellaneous) (Q1) - Computer Science (miscellaneous) (Q1)
Financiación: info:eu-repo/grantAgreement/ES/DGA-FEDER/Construyendo Europa desde Aragón
Tipo y forma: Article (Published version)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use. You may not use the material for commercial purposes. If you remix, transform, or build upon the material, you may not distribute the modified material. Exportado de SIDERAL (2024-11-08-10:44:52)
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Record created 2023-02-16, last modified 2024-11-08