Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system
Eliasson, Bengt (2001) Outflow boundary conditions for the Fourier transformed one-dimensional Vlasov–poisson system. Journal of Scientific Computing, 16 (1). pp. 1-28. ISSN 0885-7474 (https://doi.org/10.1023/A:1011132312956)
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In order to facilitate numerical simulations of plasma phenomena where kinetic processes are important, we have studied the technique of Fourier transforming the Vlasov equation analytically in the velocity space, and solving the resulting equation numerically. Special attention has been paid to the boundary conditions of the Fourier transformed system. By using outgoing wave boundary conditions in the Fourier transformed space, small-scale information in velocity space is carried outside the computational domain and is lost. Thereby the so-called recurrence phenomenon is reduced. This method is an alternative to using numerical dissipation or smoothing operators in velocity space. Different high-order methods are used for computing derivatives as well as for the time-stepping, leading to an over-all fourth-order method.
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Item type: Article ID code: 46388 Dates: DateEvent1 March 2001PublishedSubjects: Science > Physics Department: Faculty of Science > Physics Depositing user: Pure Administrator Date deposited: 06 Jan 2014 15:44 Last modified: 08 Apr 2024 20:56 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/46388