Special quadratic quadrilateral finite elements for local refinement with irregular nodes

✍ Scribed by W. Wang

• Book ID: 104268205
• Publisher: Elsevier Science
• Year: 2000
• Tongue: English
• Weight: 655 KB
• Volume: 182
• Category: Article
• ISSN: 0045-7825
• DOI: 10.1016/s0045-7825(99)00088-2

✦ Synopsis

For the ®nite element method, a new approach has been developed to treat quadratic quadrilateral elements at the interface of dierent re®nement levels. The local re®nement is performed with special quadrilateral elements. Irregular nodes are eliminated and at the same time the local continuity at inter-elements is preserved. The new method is accurate, easy to implement and shows good eciency for local re®nement with quadrilateral elements. The special elements can be used for solving Navier±Stokes equations and reactive ¯ow problems. They show great potential for solving combustion problems with moving ¯ame fronts and complex or moving boundaries.