Simulation of electrically driven jet using Chebyshev collocation method  

作　　者：Yan Liu,~(a)) and Ruojing Zhang~(b)) School of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China 

出　　处：《Theoretical & Applied Mechanics Letters》2011年第3期18-22,共5页力学快报（英文版）

基　　金：supported by the National Natural Science Foundation of China(10772136);Shanghai Leading Academic Discipline Project(B302);The authors wish to thank Dr.Guyue Jiao for the literary suggestions on the manuscript

摘　　要：The model of electrically driven jet is governed by a series of quasi 1D dimensionless partial differential equations(PDEs).Following the method of lines,the Chebyshev collocation method is employed to discretize the PDEs and obtain a system of differential-algebraic equations(DAEs).By differentiating constrains in DAEs twice,the system is transformed into a set of ordinary differential equations(ODEs) with invariants.Then the implicit differential equations solver 'ddaskr' is used to solve the ODEs and post-stabilization is executed at the end of each step.Results show the distributions of radius,linear charge density,stretching ratio and also the horizontal velocity at a time point.Meanwhile,the spiral and expanding projections to X-Y plane of the jet centerline suggest the occurring of bending instability.The model of electrically driven jet is governed by a series of quasi 1D dimensionless partial differential equations(PDEs).Following the method of lines,the Chebyshev collocation method is employed to discretize the PDEs and obtain a system of differential-algebraic equations(DAEs).By differentiating constrains in DAEs twice,the system is transformed into a set of ordinary differential equations(ODEs) with invariants.Then the implicit differential equations solver 'ddaskr' is used to solve the ODEs and post-stabilization is executed at the end of each step.Results show the distributions of radius,linear charge density,stretching ratio and also the horizontal velocity at a time point.Meanwhile,the spiral and expanding projections to X-Y plane of the jet centerline suggest the occurring of bending instability.

关 键 词：electrically driven jet method of lines Chebyshev collocation method differential-algebraic equation bending instability 

分 类 号：O175.2[理学—数学]