The magnetised Richtmyer–Meshkov instability in two-fluid plasmas

Bond, D.; Wheatley, Vincent; Li, Y.; Samtaney, Ravi; Pullin, D. I.

doi:10.1017/jfm.2020.661

Cited by 8 publications

(23 citation statements)

References 31 publications

(87 reference statements)

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“…The system of equations is non-dimensionalised according to the work of Bond et al. (2020) which uses a similar system to Loverich (2003). The non-dimensionalisation reduces the disparity in magnitude of floating-point numbers in the system thereby reducing the numerical stiffness, important when including both the fluid and electromagnetic phenomena.…”

Section: Plasma Modellingmentioning

confidence: 99%

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The magnetised plasma Richtmyer–Meshkov instability: elastic collisions in an ion–electron multifluid plasma

Tapinou,

Wheatley,

Bond

2023

J. Fluid Mech.

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The influence of an applied magnetic field on the collisional plasma Richtmyer–Meshkov instability (RMI) is investigated through numerical simulation. The instability is studied within the five-moment multifluid plasma model without any simplifying assumptions such as infinite speed of light, negligible electron inertia or quasineutrality. The plasma is composed of ion and electron fluids, and elastic collisions are modelled with the Braginskii transport coefficients. A collisional regime is investigated and the magnetic field is applied in the direction of shock propagation, which is perpendicular to the density interface. The primary instability is influenced by several terms affecting the evolution of circulation, the most significant of which are the baroclinic, magnetic field torque and intraspecies collisional terms. The applied magnetic field results in a reduction of interface perturbation growth, agreeing qualitatively with previous numerical simulations for the case of an ideal multifluid plasma RMI. The only major difference in the present case's instability mitigation by applied magnetic field, relative to the ideal case with applied magnetic field, is that the elastic collisions replace and obstruct the secondary vorticity suppression mechanism through collisional dissipation of vorticity. Additionally the collisions, influenced by the combination of self-generated and the applied magnetic field, introduce anisotropy to the problem. The primary suppression mechanism for the RMI is unchanged relative to the ideal case, i.e. the magnetic field torque resisting baroclinic deposition of vorticity in the ion fluid.

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Section: Plasma Modellingmentioning

confidence: 99%

“…The MFP effects are important when (i) Debye lengths are large enough to permit relative motion between species, and (ii) distinct density interfaces are formed from isotope, species and thermal discontinuities (Bond et al. 2017 b , 2020; Tapinou et al. 2022).…”

Section: Introductionmentioning

confidence: 99%

The magnetised plasma Richtmyer–Meshkov instability: elastic collisions in an ion–electron multifluid plasma

Tapinou,

Wheatley,

Bond

2023

J. Fluid Mech.

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“…As the d D,0 → ∞, the coupling decreases to zero, as if the two charged fluids do not interact with the electromagnetic fields, as seen in Eqs. (11) and (12) where the source terms approach 0. In this limit, ions and electrons evolves like two uncoupled hydrodynamic fluids.…”

Section: ∂B ∂Tmentioning

confidence: 99%

“…The non-dimensional electron charge q e and ion charge q i are −1 and 1, respectively. We use the mass ratio m i /m e = 100 instead of the physical value 1836, (m i is normalized to unity) to reduce the problem stiffness while ensuring relatively fast electron dynamics 11,12,14 .…”

Section: Physical Setupmentioning

confidence: 99%

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Linear Stability of an Impulsively Accelerated Density Interface in an Ideal Two-Fluid Plasma

Li,

Bakhsh,

Samtaney

2021

Preprint

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We investigate the linear evolution of Richtmyer-Meshkov (RM) instability in the framework of an ideal two-fluid plasma model. The two-fluid plasma equations of motion are separated into a base state and a set of linearized equations governing the evolution of the perturbations. Different coupling regimes between the charged species are distinguished based on a non-dimensional Debye length parameter d D,0 .When d D,0 is large, the coupling between ions and electrons is sufficiently small that the induced Lorentz force is very weak and the two species evolve as two separate fluids. When d D,0 is small, the coupling is strong and the induced Lorentz force is strong enough that the difference between state of ions and electrons is rapidly decreased by the force. As a consequence, the ions and electrons are tightly coupled and evolve like one fluid. The temporal dynamics is divided into two phases: an early phase wherein electron precursor waves are prevalent, and a post ion shockinterface interaction phase during which the RM instability manifests itself. We also examine the effect of an initially applied magnetic field in the streamwise direction characterized by the non-dimensional parameter β 0 . For a short duration after the ion shock-interface interaction, the growth rate is similar for different initial magnetic field strengths. As time progresses the suppression of the instability due to the magnetic field is observed. The growth rate shows oscillations with a frequency that is related to the ion or electron cyclotron frequency. The instability is suppressed due to the vorticity being transported away from the interface.

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Fourth-order accurate numerical modeling of the multi-fluid plasma equations with adaptive mesh refinement

Polak

Gao

2023

Computer Physics Communications

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The magnetised Richtmyer–Meshkov instability in two-fluid plasmas

Abstract: Abstract

Cited by 8 publications

References 31 publications

The magnetised plasma Richtmyer–Meshkov instability: elastic collisions in an ion–electron multifluid plasma

The magnetised plasma Richtmyer–Meshkov instability: elastic collisions in an ion–electron multifluid plasma

Linear Stability of an Impulsively Accelerated Density Interface in an Ideal Two-Fluid Plasma

Fourth-order accurate numerical modeling of the multi-fluid plasma equations with adaptive mesh refinement

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