Modelling Shocks and Solitons with a Modified Third Order High Resolution Semi-Discrete Scheme for Soliton and Shock Wave Simulations
نویسنده
چکیده
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equations and modified to model perturbations and shockwaves in an electrostatic plasma. For an initial density perturbations in the system, we illustrate how the method captures the formation and evolution of ion-acoustic solitons and shock waves. Mathematics Subject Classification: 65M06
منابع مشابه
Some traveling wave solutions of soliton family
Solitons are ubiquitous and exist in almost every area from sky to bottom. For solitons to appear, the relevant equation of motion must be nonlinear. In the present study, we deal with the Korteweg-deVries (KdV), Modied Korteweg-de Vries (mKdV) and Regularised LongWave (RLW) equations using Homotopy Perturbation method (HPM). The algorithm makes use of the HPM to determine the initial expansion...
متن کاملThe comparison of two high-order semi-discrete central schemes for solving hyperbolic conservation laws
This work presents two high-order, semi-discrete, central-upwind schemes for computing approximate solutions of 1D systems of conservation laws. We propose a central weighted essentially non-oscillatory (CWENO) reconstruction, also we apply a fourth-order reconstruction proposed by Peer et al., and afterwards, we combine these reconstructions with a semi-discrete central-upwind numerical flux ...
متن کاملSolitons for nearly integrable bright spinor Bose-Einstein condensate
Using the explicit forms of eigenstates for linearized operator related to a matrix version of Nonlinear Schrödinger equation, soliton perturbation theory is developed for the $F=1$ bright spinor Bose-Einstein condensates. A small disturbance of the integrability condition can be considered as a small correction to the integrable equation. By choosing appropriate perturbation, the soli...
متن کاملUltra- Relativistic Solitons with Opposing Behaviors in Photon Gas Plasma
We have studied the formation of relativistic solitary waves due to nonlinearinteraction of strong electromagnetic wave with the plasma wave. Here, our plasma isrelativistic both in temperature and in streaming speed. A set of equations consisting ofscalar and vector potentials together with a third order equation for the enthalpy inphoton gas plasma is obtained analytic...
متن کاملAdaptation and Assessment of a High Resolution Semi-discrete Numerical Scheme for Hyperbolic Systems with Source Terms and Stiffness
In this work we outline the details required in adapting the third-order semi-discrete numerical scheme of Kurganov and Levy [SIAM J. Sci. Comput. 22 (2000) 1461-1488.] to handle hyperbolic systems which include source terms. The performance of the scheme is then assessed against a fully discrete scheme, as well as reference solutions, on such problems as shock propagation in a Broadwell gas an...
متن کامل