Extension of ALE methodology to unstructured conical meshes

Boutin, Benjamin, et al. Cancès, E., et al, eds. "Extension of ALE methodology to unstructured conical meshes." ESAIM: Proceedings 32 (2011): 31-55. <http://eudml.org/doc/251205>.

@article{Boutin2011,
abstract = {We propose a bi-dimensional finite volume extension of a continuous ALE method on unstructured cells whose edges are parameterized by rational quadratic Bezier curves. For each edge, the control point possess a weight that permits to represent any conic (see for example [LIGACH]) and thanks to [WAGUSEDE,WAGU], we are able to compute the exact area of our cells. We then give an extension of scheme for remapping step based on volume fluxing [MARSHA] and self-intersection flux [ALE2DHAL]. For the rezoning phase, we propose a three step process based on moving nodes, followed by control point and weight re-adjustment. Finally, for the hydrodynamic step, we present the GLACE scheme [GLACE] extension (at first-order) on conic cell using the same formalism. We only propose some preliminary first-order simulations for each steps: Remap, Pure Lagrangian and finally ALE (rezoning and remapping).},
author = {Boutin, Benjamin, Deriaz, Erwan, Hoch, Philippe, Navaro, Pierre},
editor = {Cancès, E., Crouseilles, N., Guillard, H., Nkonga, B., Sonnendrücker, E.},
journal = {ESAIM: Proceedings},
language = {eng},
month = {11},
pages = {31-55},
publisher = {EDP Sciences},
title = {Extension of ALE methodology to unstructured conical meshes},
url = {http://eudml.org/doc/251205},
volume = {32},
year = {2011},
}

TY - JOUR
AU - Boutin, Benjamin
AU - Deriaz, Erwan
AU - Hoch, Philippe
AU - Navaro, Pierre
AU - Cancès, E.
AU - Crouseilles, N.
AU - Guillard, H.
AU - Nkonga, B.
AU - Sonnendrücker, E.
TI - Extension of ALE methodology to unstructured conical meshes
JO - ESAIM: Proceedings
DA - 2011/11//
PB - EDP Sciences
VL - 32
SP - 31
EP - 55
AB - We propose a bi-dimensional finite volume extension of a continuous ALE method on unstructured cells whose edges are parameterized by rational quadratic Bezier curves. For each edge, the control point possess a weight that permits to represent any conic (see for example [LIGACH]) and thanks to [WAGUSEDE,WAGU], we are able to compute the exact area of our cells. We then give an extension of scheme for remapping step based on volume fluxing [MARSHA] and self-intersection flux [ALE2DHAL]. For the rezoning phase, we propose a three step process based on moving nodes, followed by control point and weight re-adjustment. Finally, for the hydrodynamic step, we present the GLACE scheme [GLACE] extension (at first-order) on conic cell using the same formalism. We only propose some preliminary first-order simulations for each steps: Remap, Pure Lagrangian and finally ALE (rezoning and remapping).
LA - eng
UR - http://eudml.org/doc/251205
ER -