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| DOI | 10.1016/j.advwatres.2020.103508 |
| Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions | |
| Krvavica N. | |
| 发表日期 | 2020 |
| ISSN | 0309-1708 |
| 卷号 | 137 |
| 英文摘要 | The efficiency of several first-order numerical schemes for two-layer shallow water equations (SWE) are evaluated here by considering different eigenvalue solutions. This study is a continuation of our previous work (Krvavica et al., 2018) in which we have proposed an efficient implementation of a Roe solver for two-layer SWE based on analytical expressions for eigenvalues and eigenvectors. In this work, the accuracy and computational cost of numerical, analytical, and approximated eigenvalue solvers are compared when implemented in Roe, Intermediate Field CaPturing (IFCP) and Polynomial Viscosity Matrix (PVM) schemes. Several numerical tests are performed to examine the overall efficiency of numerical schemes with different eigenvalue solvers when computing two-layer shallow-water flows. The results confirm that analytical eigenvalue solutions are much faster than numerical solvers, with a computational cost closer to approximate expressions. Consequently, the Roe scheme with analytical solutions to the eigenstructure is equally efficient as the IFCP scheme. On the other hand, IFCP and PVM schemes with analytical solutions to eigenvalues are found to be equally efficient as those with approximated expressions. Analytical eigenvalues show slightly better results when dealing with larger density differences between the layers. © 2020 Elsevier Ltd |
| 关键词 | Calcium compoundsEfficiencyEquations of motionFinite volume methodEigenvaluesIFCP schemePVM schemeRoe schemeShallow water equationsTwo-layer flowsEigenvalues and eigenfunctionseigenvaluefinite volume methodshallow-water equationwater flowPotato virus M |
| 语种 | 英语 |
| 来源机构 | Advances in Water Resources |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://gcip.llas.ac.cn/handle/2XKMVOVA/131856 |
| 推荐引用方式 GB/T 7714 | Krvavica N.. Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions[J]. Advances in Water Resources,2020,137. |
| APA | Krvavica N..(2020).Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions.,137. |
| MLA | Krvavica N.."Re-evaluating efficiency of first-order numerical schemes for two-layer shallow water systems by considering different eigenvalue solutions".137(2020). |
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