A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes
Joint Authors
Yasue, Kanako
Ogino, Yousuke
Sawada, Keisuke
Asada, Hiroyuki
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-20, 20 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-07-08
Country of Publication
Egypt
No. of Pages
20
Main Subjects
Abstract EN
A third order accurate cellwise relaxation implicit Discontinuous Galerkin (DG) scheme for RANS simulations using unstructured hybrid meshes is presented.
A scalar parabolic equation is first examined to clarify what is really important in construction of implicit matrix to keep its diagonal dominance for the third and fourth order cellwise relaxation implicit DG schemes.
In addition, discussions are given to approximated construction of implicit matrix for reducing computational cost.
Then, the third order accurate cellwise relaxation implicit DG scheme for RANS simulations is successfully developed utilizing the expertise learned in the study of solving the parabolic equation.
Superior spatial accuracy of the third order accurate cellwise relaxation implicit DG scheme for RANS simulations, while retaining reasonable convergence properties, is demonstrated for typical aerospace applications.
American Psychological Association (APA)
Asada, Hiroyuki& Ogino, Yousuke& Yasue, Kanako& Sawada, Keisuke. 2014. A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-452073
Modern Language Association (MLA)
Asada, Hiroyuki…[et al.]. A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes. Mathematical Problems in Engineering No. 2014 (2014), pp.1-20.
https://search.emarefa.net/detail/BIM-452073
American Medical Association (AMA)
Asada, Hiroyuki& Ogino, Yousuke& Yasue, Kanako& Sawada, Keisuke. A Third Order Accurate Cellwise Relaxation Implicit Discontinuous Galerkin Scheme for Unstructured Hybrid Meshes. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-20.
https://search.emarefa.net/detail/BIM-452073
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-452073