On the design of high order residual-based dissipation for unsteady compressible flows

详细信息    查看全文

• 作者：A. Lerat ; ^{alain.lerat@ensam.eu} ; K. Grimich ; P. Cinnella
• 关键词：Residual-based compact scheme ; High order ; Unsteady Euler equations ; Numerical dissipation
• 刊名：Journal of Computational Physics
• 出版年：2013
• 出版时间：15 February, 2013
• 年：2013
• 卷：235
• 期：Complete
• 页码：32-51
• 全文大小：749 K

文摘

The numerical dissipation operator of residual-based compact (RBC) schemes of high accuracy is identified and analysed for hyperbolic systems of conservation laws. A necessary and sufficient condition (¦Ö-criterion) is found that ensures dissipation in 2-D and 3-D for any order of the RBC scheme. Numerical applications of RBC schemes of order 3, 5 and 7 to a diagonal wave advection and to a converging cylindrical shock problem confirm the theoretical results.