An isogeometric discontinuous Galerkin method for Euler equations |
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Authors: | Shengjiao Yu Renzhong Feng Tiegang Liu |
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Institution: | 1. School of Mathematics and Systems Science, Beihang University, Beijing, China;2. Key Laboratory of Mathematics, Informatics and Behavioral Semantics, Ministry of Education, China |
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Abstract: | 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. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | discontinuous galerkin isogeometric analysis NURBS exact geometry Euler equations |
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