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Low-dissipation and low-dispersion fourth-order Runge–Kutta algorithm

✍ Scribed by Julien Berland; Christophe Bogey; Christophe Bailly

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
220 KB
Volume
35
Category
Article
ISSN
0045-7930

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✦ Synopsis

An optimized explicit low-storage fourth-order Runge-Kutta algorithm is proposed in the present work for time integration. Dispersion and dissipation of the scheme are minimized in the Fourier space over a large range of frequencies for linear operators while enforcing a wide stability range. The scheme remains of order four with nonlinear operators thanks to the low-storage algorithm. Linear and nonlinear propagation problems are finally solved to illustrate the accuracy of the present Runge-Kutta scheme.

📜 SIMILAR VOLUMES

Low-Dissipation and Low-Dispersion Runge
Low-Dissipation and Low-Dispersion Runge–Kutta Schemes for Computational Acoustics
✍ F.Q. Hu; M.Y. Hussaini; J.L. Manthey 📂 Article 📅 1996 🏛 Elsevier Science 🌐 English ⚖ 426 KB

In this paper, we investigate accurate and efficient time advancing methods for computational acoustics, where nondissipative and In this paper, we investigate accurate and efficient timenondispersive properties are of critical importance. Our analysis advancing schemes for computational acoustics.