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A fractional step finite element method for the Navier-Stokes equations applied to magma chamber withdrawal

Author
Folch, A.; Vazquez, M.; Codina, R.; Marti Molist, Joan
Type of activity
Journal article
Journal
Computers and geosciences
Date of publication
1999-04
Volume
25
Number
3
First page
263
Last page
275
DOI
https://doi.org/10.1016/S0098-3004(98)00164-2 Open in new window
URL
http://www.sciencedirect.com/science/article/pii/S0098300498001642 Open in new window
Abstract
We develop an algorithm to solve numerically the Navier–Stokes equations using a finite element method. The algorithm uses a fractional step approach that allows the use of equal interpolation spaces for the pressure and velocity fields and can be used to solve both compressible and incompressible flows. The standard Galerkin method is used to space-discretize the equations in which convective terms are dominant because the equations are reformulated in a characteristics co-moving frame provid...
Keywords
Explosive volcanic eruptions, Finite element method, Fractional step method, Magma chamber withdrawal, Navier–Stokes equations
Group of research
(MC)2 - UPC Computational continuum mechanics
ANiComp - Numerical analysis and scientific computation

Participants

  • Folch, A  (author)
  • Vazquez, Mariano  (author)
  • Codina Rovira, Ramon  (author)
  • Marti Molist, Joan  (author)