NUMERICAL SIMULATION FOR SOLITARY WAVES OF RLW EQUATION  

作　　者：XUZhen-li LIURu-xun 

机构地区：[1]DepartmentofMathematics,UniversityofScienceandTechnologyofChina,Hefei230026,China,e-mail.xuzl@ustc,edu

出　　处：《Journal of Hydrodynamics》2004年第2期130-135,共6页水动力学研究与进展B辑（英文版）

基　　金：ThisworkwassupportedbytheNationalNaturalScienceFoundationofChina .(GrantNos:10 0 710 83,10 0 2 810 3)

摘　　要：A high order finite difference scheme for solving the Regularised Long Wave(RLW) equation, based on the high order Pade approximation and Lax-Wendroff type timediscretization, was developed in this paper. Some numerical examples, including the propagation of asingle soliton, the interaction of double solitary waves and the temporal evolution of a Maxwellianinitial pulse, were studied to test the accuracy, efficiency and conservation property of thescheme. Compared with the results based on finite element methods, the scheme is proven successful.A high order finite difference scheme for solving the Regularised Long Wave(RLW) equation, based on the high order Pade approximation and Lax-Wendroff type timediscretization, was developed in this paper. Some numerical examples, including the propagation of asingle soliton, the interaction of double solitary waves and the temporal evolution of a Maxwellianinitial pulse, were studied to test the accuracy, efficiency and conservation property of thescheme. Compared with the results based on finite element methods, the scheme is proven successful.

关 键 词：RLW equation pade approximation soli-ton lax-wendroff scheme 

分 类 号：O35[理学—流体力学]