Robust Finite Volume Schemes for Two-Fluid Plasma Equations

AbstractThe space-time conservation element and solution element (CE/SE) method is proposed for solving a conservative interface-capturing reduced model of compressible two-fluid flows. The flow equations are the bulk equations, combined with mass and energy equations for one of the two fluids. The latter equation contains a source term for accounting the energy exchange. The one and two-dimensional flow models are numerically investigated in this manuscript. The CE/SE method is capable to accurately capture the sharp propagating wavefronts of the fluids without excessive numerical diffusion or spurious oscillations. In contrast to the existing upwind finite volume schemes, the Riemann solver and reconstruction procedure are not the building block of the suggested method. The method differs from the previous techniques because of global and local flux conservation in a space-time domain without resorting to interpolation or extrapolation. In order to reveal the efficiency and performance of the approach, several numerical test cases are presented. For validation, the results of the current method are compared with other finite volume schemes.

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Fully-implicit finite volume method for the ideal two-fluid plasma model

Computer Physics Communications ◽

10.1016/j.cpc.2018.05.006 ◽

2018 ◽

Vol 231 ◽

pp. 31-44 ◽

Cited By ~ 11

Author(s):

A. Alvarez Laguna ◽

N. Ozak ◽

A. Lani ◽

H. Deconinck ◽

S. Poedts

Keyword(s):

Finite Volume Method ◽

Finite Volume ◽

Plasma Model ◽

Fully Implicit ◽

Volume Method ◽

Two Fluid ◽

Two Fluid Plasma ◽

The Ideal

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A finite volume scheme for the two fluid plasma system

IEEE Conference Record - Abstracts 2002 IEEE International Conference on Plasma Science (Cat No 02CH37340) PLASMA-02 ◽

10.1109/plasma.2002.1030488 ◽

2003 ◽

Author(s):

J. Loverich ◽

U. Shumlak

Keyword(s):

Finite Volume ◽

Finite Volume Scheme ◽

Plasma System ◽

Volume Scheme ◽

Two Fluid ◽

Two Fluid Plasma

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Design and Verification Methodology of Boundary Conditions for Finite Volume Schemes

10.21236/ada591830 ◽

2012 ◽

Cited By ~ 2

Author(s):

D. Folkner ◽

A. Katz ◽

V. Sankaran

Keyword(s):

Boundary Conditions ◽

Finite Volume ◽

Finite Volume Schemes ◽

Verification Methodology

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Anomalous transport coefficients in a magnetized turbulent plasma

Journal of Plasma Physics ◽

10.1017/s0022377800000210 ◽

1982 ◽

Vol 28 (2) ◽

pp. 193-214 ◽

Cited By ~ 1

Author(s):

Qiu Xiaoming ◽

R. Balescu

Keyword(s):

Transport Coefficients ◽

Collision Operator ◽

Turbulent Plasma ◽

Anomalous Transport ◽

Weak Turbulence ◽

Dissipative Effects ◽

Dependent Transport ◽

Two Fluid ◽

Two Fluid Plasma

In this paper we generalize the formalism developed by Balescu and Paiva-Veretennicoff, valid for any kind of weak turbulence, for the determination of all the transport coefficients of an unmagnetized turbulent plasma, to the case of a magnetized one, and suggest a technique to avoid finding the inverse of the turbulent collision operator. The implicit plasmadynamical equations of a two-fluid plasma are presented by means of plasmadynamical variables. The anomalous transport coefficients appear in their natural places in these equations. It is shown that the necessary number of transport coefficients for describing macroscopically the magnetized turbulent plasma does not exceed the number for the unmagnetized one. The typical turbulent and gyromotion terms, representing dissipative effects peculiar to the magnetized system, which contribute to the frequency-dependent transport coefficients are clearly exhibited.

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