According to the mechanism of sediment suspension under waves, namely, the main reason of sediment suspension changes from the turbulent mixing in the bottom boundary layer to the periodic motion of the water particle...According to the mechanism of sediment suspension under waves, namely, the main reason of sediment suspension changes from the turbulent mixing in the bottom boundary layer to the periodic motion of the water particle near the free water surface, a three-layer model of sediment concentration distribution due to waves is presented along the whole water depth based on the concept of the finite mixing length. 1he determination of the parameters in the model is discussed and an empirical formula is suggested. Comparisons between the calculated results and the measurements indicate that the resuits of the model agree well with the data from both the large and small scale flume experiments.展开更多
In this paper,we analyze and provide numerical experiments for a moving finite element method applied to convection-dominated,time-dependent partial differential equations.We follow a method of lines approach and util...In this paper,we analyze and provide numerical experiments for a moving finite element method applied to convection-dominated,time-dependent partial differential equations.We follow a method of lines approach and utilize an underlying tensor-product finite element space that permits the mesh to evolve continuously in time and undergo discontinuous reconfigurations at discrete time steps.We employ the TR-BDF2 method as the time integrator for piecewise quadratic tensor-product spaces,and provide an almost symmetric error estimate for the procedure.Our numerical results validate the efficacy of these moving finite elements.展开更多
基金supported by the National Natural Science Foundation of China (Grant No.50279029)
文摘According to the mechanism of sediment suspension under waves, namely, the main reason of sediment suspension changes from the turbulent mixing in the bottom boundary layer to the periodic motion of the water particle near the free water surface, a three-layer model of sediment concentration distribution due to waves is presented along the whole water depth based on the concept of the finite mixing length. 1he determination of the parameters in the model is discussed and an empirical formula is suggested. Comparisons between the calculated results and the measurements indicate that the resuits of the model agree well with the data from both the large and small scale flume experiments.
基金the National Science Foundation under contract DMS-1318480.
文摘In this paper,we analyze and provide numerical experiments for a moving finite element method applied to convection-dominated,time-dependent partial differential equations.We follow a method of lines approach and utilize an underlying tensor-product finite element space that permits the mesh to evolve continuously in time and undergo discontinuous reconfigurations at discrete time steps.We employ the TR-BDF2 method as the time integrator for piecewise quadratic tensor-product spaces,and provide an almost symmetric error estimate for the procedure.Our numerical results validate the efficacy of these moving finite elements.
