The space–time CE/SE method for solving one-dimensional special relativistic magnetohydrodynamics equations

Qamar, Shamsul; Ahmed, Sidrah

doi:10.1016/j.cpc.2012.11.020

Cited by 4 publications

(3 citation statements)

References 33 publications

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“…Recently, the application of CE/SE method had been extended to simulation of explosive [23,24], aeroacoustics [25], crystallization [26], heat conduction [27], relativistic hydrodynamics [28,29], chemical reaction [30,31], et al Lim et al [18,19] utilized the CE/SE method to solve SMB model equations and found the accuracy and computational efficiency to be simultaneously improved.…”

Section: Introductionmentioning

confidence: 99%

Combination of space–time conservation element/solution element method and continuous prediction technique for accelerated simulation of simulated moving bed chromatography

Yao

Tang

et al. 2015

Chemical Engineering and Processing: Process Intensification

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Section: Introductionmentioning

confidence: 99%

Combination of space–time conservation element/solution element method and continuous prediction technique for accelerated simulation of simulated moving bed chromatography

Yao

Tang

et al. 2015

Chemical Engineering and Processing: Process Intensification

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“…The CE/SE method originally proposed by Chang in NASA is a novel CFD framework especially suitable for highaccuracy solutions of wave motions and unsteady flows with complex physics [16]. It has already been applied to the 1-D and 2-D ideal MHD equations, and its computational logic and operational count have been proved to be much simpler and more efficient [17][18][19]. But as yet, there is no theoretical research described to apply the CE/SE method in solving 3-D practical MHD problems.…”

Section: Introductionmentioning

confidence: 99%

Three-dimensional MHD modeling of railgun plasma armature with the CE/SE method

Gong

Wang

2014

JAE

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Three-dimensional (3-D) numerical simulations have been carried out taking into account the magnetohydrodynamics (MHD) effect of the railgun plasma armature. The 3-D space-time conservation element and solution element (CE/SE) method is derived for solving the coupled Navier-Stokes equations and Maxwell equations. The results show that a steeper gradient of the magnetic field and pressure that appears along the direction of the rail can be observed. The temperature distribution is affected by the boundary conditions for the radiative heat flux, with the maximum temperature appearing in the center near the base of the projectile. Circulation patterns of velocity that are evident in both the rail-to-rail plane and the insulator-to-insulator plane result from the convection and unbalanced force between the Lorentz force and pressure gradient. The periodical variation of the temperature and acceleration is obvious until a new steady state is achieved. This model can efficiently evaluate the dynamics of the plasma motion, and provide a basis on understanding the much more complex physical phenomena.

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“…In 1D they applied the original CE/SE method of Chang (1995), while they used a variant of it (Zhang et al, 2002) in 2D with a rectangular mesh. Qamar and Ahmed (2013), finally, extended the CE/SE method to 1D RMHD.…”

Section: Living Reviews In Computational Astrophysicsmentioning

confidence: 99%

Grid-based Methods in Relativistic Hydrodynamics and Magnetohydrodynamics

Martí

Müller

2015

Living Rev Comput Astrophys

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An overview of grid-based numerical methods used in relativistic hydrodynamics (RHD) and magnetohydrodynamics (RMHD) is presented. Special emphasis is put on a comprehensive review of the application of high-resolution shock-capturing methods. Results of a set of demanding test bench simulations obtained with different numerical methods are compared in an attempt to assess the present capabilities and limits of the various numerical strategies. Applications to three astrophysical phenomena are briefly discussed to motivate the need for and to demonstrate the success of RHD and RMHD simulations in their understanding. The review further provides FORTRAN programs to compute the exact solution of the Riemann problem in RMHD, and to simulate 1D RMHD flows in Cartesian coordinates. Article RevisionsLiving Reviews supports two ways of keeping its articles up-to-date:Fast-track revision. A fast-track revision provides the author with the opportunity to add short notices of current research results, trends and developments, or important publications to the article. A fast-track revision is refereed by the responsible subject editor. If an article has undergone a fast-track revision, a summary of changes will be listed here.Major update. A major update will include substantial changes and additions and is subject to full external refereeing. It is published with a new publication number.For detailed documentation of an article's evolution, please refer to the history document of the article's online version at http://dx

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The space–time CE/SE method for solving one-dimensional special relativistic magnetohydrodynamics equations

Cited by 4 publications

References 33 publications

Combination of space–time conservation element/solution element method and continuous prediction technique for accelerated simulation of simulated moving bed chromatography

Combination of space–time conservation element/solution element method and continuous prediction technique for accelerated simulation of simulated moving bed chromatography

Three-dimensional MHD modeling of railgun plasma armature with the CE/SE method

Grid-based Methods in Relativistic Hydrodynamics and Magnetohydrodynamics

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