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Título:	A comparative study of two compact finite difference methods: standard vs. mimetic
Autor/a:	Córdova, Luis Joaquin; Rojas, Otilio; Otero Calviño, Beatriz; Castillo, José
Otros autores:	Universitat Politècnica de Catalunya. Departament d'Arquitectura de Computadors; Universitat Politècnica de Catalunya. CAP - Grup de Computació d'Altes Prestacions
Abstract:	In this work, we implement two fourth-order compact finite differences (CFD) methods and use them to model wave propagation on a elastic string. The formulation of the first method employs the standard implicit CFD constructed on nodal grids and requires solving tridiagonal linear systems at each time iteration. A new second scheme is implemented using the staggered mimetic CFD operators that explicitly approximate derivatives at mid-cell points. The name mimetic stands for FD operators that satisfy in a discrete sense, some of conservative properties fulfilled by the continuous divergence and gradient operators. Both CFD methods are combined to high-order Runge-Kutta schemes for time integration. Numerical results show that the mimetic CFD scheme is slightly more accurate but yields similar fourth-order convergence than the nodal CFD method. In this paper, we also compare the CPU cost of both compact schemes to an explicit Leap-frog staggered solver to show the high computational efficiency of the mimetic CFD scheme.
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics -Àrees temàtiques de la UPC::Física::Acústica -Numerical analysis -Sound-waves -Finite differences -Compact schemes -Mimetic operators -acoustic waves -Anàlisi numèrica -Ones sonores
Derechos:	Attribution-NonCommercial-NoDerivs 3.0 Spain http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Tipo de documento:	Artículo - Versión publicada Objeto de conferencia
Editor:	Sociedad Venezolana de Métodos Numéricos en Ingeniería
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