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• W2093704834 abstract "Higher-order finite-volume methods have been shown to be more efficient than second-order methods. However, no consensus has been reached on how to eliminate the oscillations caused by solution discontinuities. Essentially non-oscillatory (ENO) schemes provide a solution but are computationally expensive to implement and may not converge well for steady-state problems. This work studies the extension of limiters used for second-order methods to the higher-order case. Requirements for accuracy and efficient convergence are discussed. A new limiting procedure is proposed. Ringleb’s flow problem is used to demonstrate that nearly nominal orders of accuracy for schemes up to fourth-order can be achieved in smooth regions using the new limiter. Results for the fourth-order accurate solution of transonic flow demonstrates good convergence properties and significant qualitative improvement of the solution relative the second-order method. The new limiter can also be successfully applied to reduce the dissipation of second-order schemes with minimal sacrifices in convergence properties relative to existing approaches." @default.
• W2093704834 created "2016-06-24" @default.
• W2093704834 creator A5064311660 @default.
• W2093704834 creator A5071311716 @default.
• W2093704834 date "2009-12-01" @default.
• W2093704834 modified "2023-09-30" @default.
• W2093704834 title "Accuracy preserving limiter for the high-order accurate solution of the Euler equations" @default.
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• W2093704834 doi "https://doi.org/10.1016/j.jcp.2009.08.021" @default.
• W2093704834 hasPublicationYear "2009" @default.
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