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: Artículo (Versión definitiva)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
Debe reconocer adecuadamente la autoría, proporcionar un enlace a la licencia e indicar si se han realizado cambios. Puede hacerlo de cualquier manera razonable, pero no de una manera que sugiera que tiene el apoyo del licenciador o lo recibe por el uso que hace. No puede utilizar el material para una finalidad comercial. Si remezcla, transforma o crea a partir del material, no puede difundir el material modificado.
Exportado de SIDERAL (2024-11-08-10:44:52)
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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: Artículo (Versión definitiva)
Área (Departamento): Área Mecánica de Fluidos (Dpto. Ciencia Tecnol.Mater.Fl.)
Debe reconocer adecuadamente la autoría, proporcionar un enlace a la licencia e indicar si se han realizado cambios. Puede hacerlo de cualquier manera razonable, pero no de una manera que sugiera que tiene el apoyo del licenciador o lo recibe por el uso que hace. No puede utilizar el material para una finalidad comercial. Si remezcla, transforma o crea a partir del material, no puede difundir el material modificado.Exportado de SIDERAL (2024-11-08-10:44:52)
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Registro creado el 2023-02-16, última modificación el 2024-11-08