An isogeometric discontinuous Galerkin method for Euler equations

作者：Yu, Shengjiao; Feng, Renzhong; Liu, Tiegang^*

来源：Mathematical Methods in the Applied Sciences, 2017, 40(8): 3129-3139.

DOI：10.1002/mma.4227

• discontinuous galerkin
• isogeometric analysis
• NURBS
• exact geometry
• Euler equations

An isogeometric discontinuous Galerkin method for Euler equations is proposed. It integrates the idea of isogeometric analysis with the discontinuous Galerkin framework by constructing each element through the knots insertion and degree elevation techniques in non-uniform rational B-splines. This leads to the solution inherently shares the same function space as the non-uniform rational B-splines representation, and results in that the curved boundaries as well as the interfaces between neighboring elements are naturally and exactly resolved. Additionally, the computational cost is reduced in contrast to that of structured grid generation. Numerical tests demonstrate that the presented method can be high order of accuracy and flexible in handling curved geometry.

• 出版日期2017-5-30
• 单位北京航空航天大学