Controlling spatial oscillations in bed level update schemes |
| |
| Institution: | 1. Department of Internal and Integrative Medicine, Kliniken Essen-Mitte, Faculty of Medicine, University of Duisburg-Essen, Essen, Nordrhein-Westfalen, Germany;2. Australian Research Centre in Complementary and Integrative Medicine (ARCCIM), Faculty of Health, University of Technology Sydney, Sydney, New South Wales, Australia;3. Chair of Research Methodology and Statistics in Psychology, Department of Psychology and Psychotherapy, Faculty of Health, University of Witten-Herdecke, Witten, Nordrhein-Westfalen, Germany;4. Immanuel Hospital Berlin, Department of Internal and Complementary Medicine, Berlin, Germany;5. Institute of Social Medicine, Epidemiology and Health Economics, Charité University Medical Centre, Berlin, Germany;1. Department of Surgery, MD Anderson Cancer Center at Cooper, Rowan University School of Medicine, Camden, NJ;2. Division of Urologic Oncology, Fox Chase Cancer Center-Temple University Health System, Philadelphia, PA;1. Department of Nutrition, University of Tennessee at Knoxville, Knoxville, TN, USA;2. Department of Pharmaceutical Engineering, School of Life Science, Wuchang University of Technology, Wuhan, Hubei Province, 430223, China;1. Applied Mathematics 1, Department of Mathematics, University of Erlangen-Nürnberg, Germany;2. Department of Computer Science 10 (System Simulation), University of Erlangen-Nürnberg, Germany;1. Department of Plant and Microbial Biology, North Carolina State University, Raleigh, NC 27695, USA;2. US Army Corps of Engineers, Engineer Research and Development Center, Champaign, IL 61826, USA |
| |
| Abstract: | A frequent problem with process-based coastal morphological models is the appearance of high wave number spatial oscillations in the simulated bed levels with time. After a sufficiently long time, these oscillations become dominant and mask the large-scale features of the bed level evolution.The equation for conservation of sediment mass is used to show that the spatial oscillations are generated by the dependence of the bed celerity (celerity of the bed level oscillations) with bed levels, which is due to the non-linear relationship between sediment transport and bed levels. This breeds higher spatial harmonics of the bed level oscillations with time. In this situation, using a Finite Difference (FD) scheme that does not damp oscillations with high wave numbers leads to the generated harmonics being kept in the solution. These generate further harmonics until the entire solution is dominated by high wave number oscillations.In this paper, a finite difference scheme, in combination with a filtering procedure, is used to dissipate high wave number oscillations. Analysis of the amplification portraits show that the filtering procedure in combination with a Lax–Wendroff scheme does not affect oscillations with lower wave numbers (larger scale features resolved with seven or more grid points). Some examples are also presented to illustrate these features. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
