Finite volume-complete flux scheme for plasma simulation

L. Liu

Research output: Contribution to conferenceOtherAcademic

Abstract

In fluid models of plasmas, the transports of species and electron energy are described by continuity equations and drift-diffusion momentum transport equations. These equations are usually discretized with the exponential scheme in literature. We present a new scheme, named finite volume-complete flux (FV-CF) scheme, which is second order accurate, even for dominant advection problems. The flux is based on the solution of a local boundary value problem (BVP) for the entire equation, including the source term, therefore it consists of two parts, homogeneous flux and inhomogeneous flux, corresponding to the homogeneous and particular solution of the BVP, respectively. The inhomogeneous numerical flux turns out to be very important for dominant drift, since it ensures that the flux approximation remains second order accurate. An example is presented to compare the accuracy between FV-CF scheme and exponential scheme.

Workshop

Workshop13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010)
Abbreviated titleWELTPP-13
CountryNetherlands
CityKerkrade
Period25/11/1026/11/10

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simulation
boundary value problems
continuity equation
advection
electron energy
momentum
fluids
approximation
energy

Cite this

Liu, L. (2010). Finite volume-complete flux scheme for plasma simulation. 13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), Kerkrade, Netherlands.
Liu, L./ Finite volume-complete flux scheme for plasma simulation. 13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), Kerkrade, Netherlands.
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title = "Finite volume-complete flux scheme for plasma simulation",
abstract = "In fluid models of plasmas, the transports of species and electron energy are described by continuity equations and drift-diffusion momentum transport equations. These equations are usually discretized with the exponential scheme in literature. We present a new scheme, named finite volume-complete flux (FV-CF) scheme, which is second order accurate, even for dominant advection problems. The flux is based on the solution of a local boundary value problem (BVP) for the entire equation, including the source term, therefore it consists of two parts, homogeneous flux and inhomogeneous flux, corresponding to the homogeneous and particular solution of the BVP, respectively. The inhomogeneous numerical flux turns out to be very important for dominant drift, since it ensures that the flux approximation remains second order accurate. An example is presented to compare the accuracy between FV-CF scheme and exponential scheme.",
author = "L. Liu",
year = "2010",
language = "English",
note = "13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), WELTPP-13 ; Conference date: 25-11-2010 Through 26-11-2010",

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Liu, L 2010, 'Finite volume-complete flux scheme for plasma simulation' 13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), Kerkrade, Netherlands, 25/11/10 - 26/11/10, .

Finite volume-complete flux scheme for plasma simulation. / Liu, L.

2010. 13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), Kerkrade, Netherlands.

Research output: Contribution to conferenceOtherAcademic

TY - CONF

T1 - Finite volume-complete flux scheme for plasma simulation

AU - Liu,L.

PY - 2010

Y1 - 2010

N2 - In fluid models of plasmas, the transports of species and electron energy are described by continuity equations and drift-diffusion momentum transport equations. These equations are usually discretized with the exponential scheme in literature. We present a new scheme, named finite volume-complete flux (FV-CF) scheme, which is second order accurate, even for dominant advection problems. The flux is based on the solution of a local boundary value problem (BVP) for the entire equation, including the source term, therefore it consists of two parts, homogeneous flux and inhomogeneous flux, corresponding to the homogeneous and particular solution of the BVP, respectively. The inhomogeneous numerical flux turns out to be very important for dominant drift, since it ensures that the flux approximation remains second order accurate. An example is presented to compare the accuracy between FV-CF scheme and exponential scheme.

AB - In fluid models of plasmas, the transports of species and electron energy are described by continuity equations and drift-diffusion momentum transport equations. These equations are usually discretized with the exponential scheme in literature. We present a new scheme, named finite volume-complete flux (FV-CF) scheme, which is second order accurate, even for dominant advection problems. The flux is based on the solution of a local boundary value problem (BVP) for the entire equation, including the source term, therefore it consists of two parts, homogeneous flux and inhomogeneous flux, corresponding to the homogeneous and particular solution of the BVP, respectively. The inhomogeneous numerical flux turns out to be very important for dominant drift, since it ensures that the flux approximation remains second order accurate. An example is presented to compare the accuracy between FV-CF scheme and exponential scheme.

M3 - Other

ER -

Liu L. Finite volume-complete flux scheme for plasma simulation. 2010. 13th Euregional Workshop on the Exploration of Low Temperature Plasma Physics (WELTPP 2010), Kerkrade, Netherlands.