full
search.png

Search

close.png

Cancel

arrow
Volume 8, Issue 3
WENO Schemes for Mixed-Element Unstructured Meshes

V. A. Titarev, P. Tsoutsanis & D. Drikakis

DOI: 10.4208/cicp.040909.080110a

Commun. Comput. Phys., 8 (2010), pp. 585-609.

Published online: 2010-08

Preview Full PDF 3411 36903

Cited by

google scholar semantic scholar
Export citation
  • Abstract

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

  • Keywords

  • AMS Subject Headings

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{CiCP-8-585, author = {V. A. Titarev, P. Tsoutsanis and D. Drikakis}, title = {WENO Schemes for Mixed-Element Unstructured Meshes}, journal = {Communications in Computational Physics}, year = {2010}, volume = {8}, number = {3}, pages = {585--609}, abstract = {

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.040909.080110a}, url = {http://global-sci.org/intro/article_detail/cicp/7586.html} }
TY - JOUR T1 - WENO Schemes for Mixed-Element Unstructured Meshes AU - V. A. Titarev, P. Tsoutsanis & D. Drikakis JO - Communications in Computational Physics VL - 3 SP - 585 EP - 609 PY - 2010 DA - 2010/08 SN - 8 DO - http://doi.org/10.4208/cicp.040909.080110a UR - https://global-sci.org/intro/article_detail/cicp/7586.html KW - AB -

The paper extends weighted essentially non-oscillatory (WENO) schemes to two-dimensional quadrilateral and mixed-element unstructured meshes. The key element of the proposed methods is a reconstruction procedure suitable for arbitrarily-shaped cells. The resulting schemes achieve the designed uniformly high-order of accuracy and compute discontinuous solutions without spurious oscillations at interfaces between cells of two different types.

V. A. Titarev, P. Tsoutsanis and D. Drikakis. (2010). WENO Schemes for Mixed-Element Unstructured Meshes. Communications in Computational Physics. 8 (3). 585-609. doi:10.4208/cicp.040909.080110a
Copy to clipboard
BibteX RIS TXT
The citation has been copied to your clipboard