Advanced Fluid Information. Numerical Investigation of Supersonic MPD Viscous Flows with Ionization.

Takeda, H.; Yamamoto, Satoru

doi:10.1299/jsmeb.45.97

Cited by 2 publications

(2 citation statements)

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“…This is also true for the special case of MHD flow in realistic MPD thruster geometries. It is known that these devices can produce flows that range from the nearly incompressible to the hypersonic limit . Despite these needs, there is still a lack of solvers capable of solving efficiently the compressible MHD equations for the whole range of Mach number regimes.…”

Section: Introductionmentioning

confidence: 99%

“…The third and fourth problems are the Orszag-Tang vortex and the supersonic low-ˇcylinder allowing validation of the method in complex 2-D MHD shock interaction. devices can produce flows that range from the nearly incompressible to the hypersonic limit [8]. Despite these needs, there is still a lack of solvers capable of solving efficiently the compressible MHD equations for the whole range of Mach number regimes.Several shock-capturing methods were developed for the numerical calculations of ideal MHD equations.…”

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confidence: 99%

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A pressure‐based method with AUSM‐type fluxes for MHD flows at arbitrary Mach numbers

Xisto

Páscoa

Oliveira

2013

Numerical Methods in Fluids

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SUMMARY In this paper, we propose an extension of a PISO method, previously developed to solve the Euler equations, and which is here extended to the ideal magnetohydrodynamic (MHD) equations. By following a pressure‐based approach, we make use of the flexibility given by pressure equation for calculating flows at arbitrary Mach numbers. To handle MHD discontinuities, we have adapted the MHD‐Advection Upstream Splitting Method for our pressure‐based formulation. With the purpose of validation, four sets of test cases are presented and discussed. We start with the circularly polarized Alfvén waves that serves as a smooth flow validation. The second case is the 1‐D Riemann problem that is calculated using both 1‐D and 2‐D formulation of the MHD equations. The third and fourth problems are the Orszag–Tang vortex and the supersonic low‐ β cylinder allowing validation of the method in complex 2‐D MHD shock interaction. Copyright © 2013 John Wiley & Sons, Ltd.

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Section: Introductionmentioning

confidence: 99%

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confidence: 99%