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 (-criterion) is found that ensures dissipation in 2-D and 3-Dfor 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.
On the design of high order residual-based dissipation for unsteady compressible flows
CINNELLA, Paola
2013-01-01
Abstract
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 (-criterion) is found that ensures dissipation in 2-D and 3-Dfor 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.File in questo prodotto:
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