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A comparative study of two compact finite difference methods: standard vs. mimetic

Author
Córdova, L.; Rojas, O.; Otero, B.; Castillo, J.
Type of activity
Presentation of work at congresses
Name of edition
XII Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas
Date of publication
2014
Presentation's date
2014-03-24
Book of congress proceedings
Ingeniería y ciencias aplicadas: modelos matemáticos y computacionales: memorias del XII Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas: CIMENICS'2014: Isla de Margarita, Venezuela, 24 al 26 de marzo de 2014
First page
1
Last page
6
Publisher
Sociedad Venezolana de Métodos Numéricos en Ingeniería
Repository
http://hdl.handle.net/2117/24578 Open in new window
URL
http://www.cimenics.org/ Open in new window
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 sat...
Citation
Córdova, L. [et al.]. A comparative study of two compact finite difference methods: standard vs. mimetic. A: Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas. "Ingeniería y ciencias aplicadas: modelos matemáticos y computacionales: memorias del XII Congreso Internacional de Métodos Numéricos en Ingeniería y Ciencias Aplicadas: CIMENICS'2014: Isla de Margarita, Venezuela, 24 al 26 de marzo de 2014". Isla de Margarita: Sociedad Venezolana de Métodos Numéricos en Ingeniería, 2014, p. 1-6.
Keywords
Compact schemes, Finite differences, Mimetic operators, acoustic waves
Group of research
VIRTUOS - Virtualisation and Operating Systems

Participants

  • Córdova, Luis Joaquin  (author and speaker )
  • Rojas, Otilio  (author and speaker )
  • Otero Calviño, Beatriz  (author and speaker )
  • Castillo, José  (author and speaker )