Alternating direction implicit techniques for two-dimensional magnetohydrodynamic calculations

Lindemuth, I.R.; Killeen, J.

doi:10.1016/0021-9991(73)90022-3

Cited by 93 publications

(25 citation statements)

References 15 publications

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“…[14][15][16][17][18][19][20][21][22][23][24][25][26][27][28] These usually employ strongly implicit time advance algorithms, and are able to advance the solution accurately and stably over very large time steps. The advantage is that all the underlying physics is retained, the model remains valid across a wide range of parameters, the boundary conditions are obvious, and the same algorithm can be applied to a wide variety of problems pertaining to magnetized plasmas.…”

Section: Introductionmentioning

confidence: 99%

Computational modeling of fully ionized magnetized plasmas using the fluid approximation

et al. 2006

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Strongly magnetized plasmas are rich in spatial and temporal scales, making a computational approach useful for studying these systems. The most accurate model of a magnetized plasma is based on a kinetic equation that describes the evolution of the distribution function for each species in six-dimensional phase space. High dimensionality renders this approach impractical for computations for long time scales. Fluid models are an approximation to the kinetic model. The reduced dimensionality allows a wider range of spatial and/or temporal scales to be explored. Computational modeling requires understanding the ordering and closure approximations, the fundamental waves supported by the equations, and the numerical properties of the discretization scheme. Several ordering and closure schemes are reviewed and discussed, as are their normal modes, and algorithms that can be applied to obtain a numerical solution.

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Section: Introductionmentioning

confidence: 99%

Computational modeling of fully ionized magnetized plasmas using the fluid approximation

et al. 2006

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“…The spatial numerical approximation of the transport equations is mainly based on the first and second-order upwind method for the convection and advection terms and a central difference for the diffusion ones [20]. The transport equation time approximation is based on a full implicit method for 1D modeling and the alternating direction implicit method for 2D modeling [21]. The numerical solution is a direct method [22].…”

Section: The Existing Softwarementioning

confidence: 99%

MMICs time‐domain electrical physical simulator adapted to the parallel computation

Moussati

Jaeger

Dalle

2008

Int J Numerical Modelling

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SUMMARYThe programming method used to adapt an existing time-domain electrical circuit simulator to the parallel computation is presented. The originality of the simulator results in the semiconductor device numerical physical modeling. Thus, the organization of the existing software, initially developed to be run on a monoprocessor sequential Unix workstation, is firstly detailed. Accounting for specifications at once regarding the effort necessary to modify the software, the wished simulator application field and the constraints resulting from the available computer, two levels of parallelization have been pointed out and implemented by means of the message passing interface parallel programming tool. As an illustration, some results concerning the simulation of a microwave monolithic integrated circuit (MMIC), especially a 2-40 GHz HEMT transistor cascode stage distributed amplifier, are presented. Circuits of increasing complexity have been considered. The evaluation of the sequential/parallel computation ratio demonstrates that significant gains can be expected from the parallel computation opening the way to analysis of the operation of MMICs of mean complexity by means of a numerical physical approach.

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“…It should be reiterated that for this study, only the flow between two of the blades is computed, i.e., between the pressure side of one blade and the suction side of the next blade, because of periodicity. The cylindrical coordinates are transformed to align the blade and nacelle surfaces with various computational planes according to the following: 't f; n I; = = = = t f;(t,z,r,~) n(t,z,r,~) I;(t,z,r,~) (1) This generalized nonorthog~nal coordinate transformation maps the spinner and nacelle onto a constant n-plane and each side of the blade, i.e., the suction and pressure sides, onto parts of a constant I;-plane. The remaining parts of the constant I;-planes are periodic surfaces.…”

Section: Derivation Of Governing Equationsmentioning

confidence: 99%

“…(1) are: U, V, and Ware the contravariant velocities written without metric normalization. J is the transformation Jacobian and is defined below.…”

Section: Derivation Of Governing Equationsmentioning

confidence: 99%

Prediction of high speed propeller flow fields using a three-dimensional Euler analysis

Bober

Chaussee

Kutler

1983

21st Aerospace Sciences Meeting

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Alternating direction implicit techniques for two-dimensional magnetohydrodynamic calculations

Cited by 93 publications

References 15 publications

Computational modeling of fully ionized magnetized plasmas using the fluid approximation

Computational modeling of fully ionized magnetized plasmas using the fluid approximation

MMICs time‐domain electrical physical simulator adapted to the parallel computation

Prediction of high speed propeller flow fields using a three-dimensional Euler analysis

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