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논문 기본 정보
- 자료유형
- 학술대회자료
- 저자정보
- 발행연도
- 2009.5
- 수록면
- 99 - 102 (4page)
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This work deals with the numerical solution of the Vlasov equation. This equation gives a kinetic description of the evolution of a plasma, and is coupled with Poissons equation for the computation of the self-consistent electric field. The coupled model is non linear. In this report we present a WENO method for the solution of the Vlasov equation using a phase space grid is proposed. WENO(essentially non-oscillatory) schemes have proven to be very useful to compute the discontinuous solutions of hyperbolic conservation laws. The WENO scheme are based on the essentially non-oscillatory (ENO) scheme, which were first introdued by Harten et al: [3] in the form of finite volume schemes and were later improved by Shu and Osher into a more efficient and easy-to-implement finite difference form. The WENO schemes have an advantage of achieving higher-order accuracy with fewer computations. Both ENO and WENO can be easily applied to two and three spatial dimensions by evaluating the fluxes dimensionby-dimension.
목차
ABSTRACT
INTRODUCTION
THE VLASOV EQUATION
THE CONSERVATIVE METHOD AND WENO METHOD
REFERENCES
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UCI(KEPA) : I410-ECN-0101-2012-410-003697086