河口海岸区潮流波浪联合输沙的理论及数学模型

针对河口海岸区潮流波浪联合输沙的机理进行了理论研究。据潮流，波浪时间尺度不同的特点，引入奇异摄动理论中的多重尺度法，将Ｎａｖｉｅｒ－Ｓｔｏｋｅｓ方程和质量传输方程进行分离，得到不同尺度下相互耦合作用的潮流方程，从数学上表示出了潮流间的相互作用和影响。并从缓坡方程出发，推求了缓坡非均匀流中波浪传播的折绕射模式，并对潮位和流速变化要素进行了求解。

Theory and Its Mathematical Model of Sediment Transport by Combined Tide Currents and Waves for Eestuary and Coast

A series of theoretical research on estuarine coastal zone tide and wave joint sedi-ment transportation mechanism has been made in this paper. Based on the different character-istics of the tide,wave scale,multiple scale in the marvelous perturbation theory has been in-troduced,the segregation between the Navier-Stokes equation and qualitative transmission e-quation has been carried out, the tide and the wave equation of mutual coupling function un-der the different scale was obtained,and the mutual influence and function between the tideand wave has been interpreted by means of the mathematical methodology. This paper is fortardy slope equation,extracts the refractive and diffractive modelling of wave propagation inthe uneven current of tardy slope and applies this modelling for solwing the tide and the ve-locity ariance- During extracting the shallow water wave equation,the corresponding topogra-phy and boundary varied and complicated triangular net finite difference methodology areadopted,so that the calculation will be much tnore steady and accurate- During extracting thesediment transportation, this paper adopted the principle of unequilibrium sediment trans-portation. This mathematical model has been used in Lianzhou Bay and Bohai Bay and betterverification effect has been obtained.