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http://hdl.handle.net/10397/105966
| Title: | CESE schemes with numerical dissipation | Authors: | Wen, CY Jiang, Y Shi, L |
Issue Date: | 2023 | Source: | In CY Wen, Y Jiang, & L Shi (2023), Space-time conservation element and solution element method: advances and applications in engineering sciences, p. 21-36. Singapore: Springer. | Abstract: | As depicted in Chap. 2, the interface between the two sub-CEs (CD in Fig. 2.7), belongs to the SE of (j, n). The flux FC needs to be calculated through the Taylor expansion at point (j, n) toward the inverse time direction. As a result, the a scheme is reversible. This violates the second law of thermodynamics. Thus, the non-dissipative core suffers from the unphysical oscillations for practical applications. | Publisher: | Springer | ISBN: | 978-981-99-0875-2 (Hardcover) 978-981-99-0878-3 (Softcover) 978-981-99-0876-9 (eBook) |
DOI: | 10.1007/978-981-99-0876-9_3 | Rights: | © The Editor(s) (if applicable) and The Author(s) 2023. This book is an open access publication. This book is licensed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license and indicate if changes were made. The following publication Wen, CY., Jiang, Y., Shi, L. (2023). CESE Schemes with Numerical Dissipation. In: Space–Time Conservation Element and Solution Element Method. Engineering Applications of Computational Methods, vol 13. Springer, Singapore is available at https://doi.org/10.1007/978-981-99-0876-9_3. |
| Appears in Collections: | Book Chapter |
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