Creator:

Després, Bruno ; Lagouti?re, Frédéric

Contributor:

Sokołowski, Jan - ed. ; Sonnendrücker, Eric - ed.

Title:

Genuinely multi-dimensional non-dissipative finite-volume schemes for transport

Subtitle:

.

Group publication title:

AMCS, volume 17 (2007)

Subject and Keywords:

multidimensional transport ; finite-volume schemes ; anti-dissipative schemes ; triangular grids

Abstract:

We develop a new multidimensional finite-volume algorithm for transport equations. This algorithm is both stable and non-dissipative. It is based on a reconstruction of the discrete solution inside each cell at every time step. The proposed reconstruction, which is genuinely multidimensional, allows recovering sharp profiles in both the direction of the transport velocity and the transverse direction. It constitutes an extension of the one-dimensional reconstructions analyzed in (Lagouti?re, 2005; Lagouti?re, 2006).

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2007

Resource Type:

artykuł

DOI:

10.2478/v10006-007-0026-z

Pages:

321-328

Source:

AMCS, volume 17, number 3 (2007) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego