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Multidimensional Numerical Simulation of Glow Discharge by Using the N-BEE-time splitting method

Plasma Science and Technology 2012年第9期14卷 802-807页

作者： Benyssaad KRALOUA Ali HENNAD Electrical Engineering Faculty University of Sciences and Technology (USTO-MB)OranAlgeria

In this work, a new numerical technique is proposed for the resolution of a fluid model based on three Boltzmann moments. The main purpose of this technique is to calculate electric and physical properties in the non-equilibrium electric discharge at low pressure. The transport and Poisson＇s equations form a self-consistent model. This equation system is written in cylindrical coordinates following the geometric shape of a plasma reactor. Our transport equation system is discretized using the finite volume approach and resolved by the N-BEE explicit scheme coupled to the time splitting method. This programming structure reduces computation time considerably. The 2D code is carried out and tested by comparing our results with those found in literature.

关键词： 2D cylindrical fluid glow discharge N-BEE scheme time splitting method

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Simulation and characteristics analysis of a wavefield in a thermoelastic medium adopting the rotated staggered-grid pseudospectral method and L-S theory

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Science China Earth Sciences 2021年第8期64卷 1390-1408页

作者： Yuanxie LI Cai LIU Zhiqi GUO Yang LIU Xuan FENG You TIAN Qi LU College of Geo-exploration Science and Technology Jilin UniversityChangchun 130026China

The simulation of wave propagation in high-temperature media requires thermoelastic *** this paper,we apply the rotated-staggered-grid pseudo-spectral method(RSG-PSM)to solving thermoelastic governing equations based on L-S theory.A time splitting method is used to solve the stiffness problem of the equations,and we introduce the rotated staggered pseudo-spectral operator and centered pseudo-spectral operator to compute the first-order spatial derivatives and second-order spatial derivatives,*** the case of the heterogeneous-medium model,the Crank-Nicolson explicit method is used instead of the pseudo-spectral method to compute the *** properties and propagation of the thermal coupled wavefield are discussed,and we compare the simulation results obtained using the pseudo-spectral method,staggered-grid pseudo-spectral method,and *** the case of an isotropic homogeneous medium,we obtain stable and highly accurate results using the time splitting method combined with the ***,the algorithm cannot be applied with a large time step when the thermal conductivity changes dramatically,and the algorithm is unstable when the reference temperature has a gradient *** optimal combined application of the mesh generation mode and numerical algorithm is explored,laying a foundation for the extension of these methods to thermoporoelasticity,thermoviscoelasticity,and anisotropy.

关键词： Thermoelastic wave L-S theory Rotated-staggered-grid pseudo-spectral method Seismic wavefield simulation time splitting method

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Computational methods for Three Coupled Nonlinear Schrödinger Equations

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Applied Mathematics 2016年第17期7卷 2110-2131页

作者： M. S. Ismail S. H. Alaseri Department of Math King Abdulaziz University Jeddah Kingdom of Saudi Arabia

In this work, we will derive numerical schemes for solving 3-coupled nonlinear Schrödinger equations using finite difference method and time splitting method combined with finite difference method. The resulting schemes are highly accurate, unconditionally stable. We use the exact single soliton solution and the conserved quantities to check the accuracy and the efficiency of the proposed schemes. Also, we use these methods to study the interaction dynamics of two solitons. It is found that both elastic and inelastic collision can take place under suitable parametric conditions. We have noticed that the inelastic collision of single solitons occurs in two different manners: enhancement or suppression of the amplitude.

关键词： Three Coupled Nonlinear Schrodinger Equations Finite Difference method time splitting method Interaction of Solitons

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