Nonlocal transport hydrodynamic model for laser heated plasmas

Holec, Milan; Nikl, Jan; Weber, S.

doi:10.1063/1.5011818

Cited by 17 publications

(11 citation statements)

References 59 publications

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“…The nonlocal Biermann battery effect (35) can lead to a spontaneous magnetic field generation under uniform density plasma profile as has been shown in [33].…”

Section: Awbs Nonlocal Transport Model Of Electronsmentioning

confidence: 79%

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AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

Holec,

Loiseau,

Debayle

et al. 2019

Preprint

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The interaction of lasers with plasmas very often leads to nonlocal transport conditions, where the classical hydrodynamic model fails to describe important microscopic physics related to highly mobile particles. In this study we analyze and further propose a modification of the Albritton-Williams-Bernstein-Swartz collision operator Phys. Rev. Lett 57, 1887Lett 57, (1986 for the nonlocal electron transport under conditions relevant to ICF. The electron distribution function provided by this modification exhibits some very desirable properties when compared to the full Fokker-Planck operator in the local diffusive regime, and also performs very well when benchmarked against Vlasov-Fokker-Planck and collisional PIC codes in the nonlocal transport regime, where we find that the effect of the electric field via the nonlocal Ohm's law is an essential ingredient in order to capture the electron kinetics properly.

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“…The nonlocal Biermann battery effect (35) can lead to a spontaneous magnetic field generation under uniform density plasma profile as has been shown in [33].…”

Section: Awbs Nonlocal Transport Model Of Electronsmentioning

confidence: 79%

“…where ρ is the density of plasma, u the plasma fluid velocity, ε i the specific internal ion energy density, and ε e the specific internal electron energy density, are modeled by the Euler equations in the Lagrangian frame [34,35]…”

Section: B Awbs Nonlocal Magneto-hydrodynamicsmentioning

confidence: 99%

AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

Holec,

Loiseau,

Debayle

et al. 2019

Preprint

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“…The problem of modelling magnetized fluids arises in many disciplines like plasma dynamics, microfluidics, astrophysics. Our interest lies mainly in the former, where the continuum plasma dynamics within the laser-target interaction encompasses the pre-pulse effects of ultra-intense laser pulses [1] or non-local radiation and electron heat transport [2,3]. However, the proposed numerical model can be applied to a wide variety of problems.…”

Section: Introductionmentioning

confidence: 99%

Lagrangian Magneto-Hydrodynamics Based On Curvilinear Finite Elements

Nikl¹,

Kuchařík²,

Weber³

2021

14th WCCM-ECCOMAS Congress

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The magneto-hydrodynamic model is widely used for description of magnetized fluids in plasma dynamics, microfluidics, astrophysics and many other applications. In terms of modelling, the Lagrangian formulation is favourable for the rapid expansion during laser-target interaction for example. This is the case for inertial fusion and laboratory astrophysics applications, which are our primary interest. However, the proposed numerical method remains general and can be applied elsewhere. The conservation properties and divergence-free magnetic field are crucial aspects, which are not satisfied by the traditional numerical schemes. Here, the Lagrangian hydrodynamics using curvilinear finite elements is extended to the resistive magneto-hydrodynamics. An energy-conserving numerical scheme is formulated maintaining divergence-free magnetic field. The mixed finite element formulation provides theoretically arbitrary order of the spatial convergence and application on unstructured Lagrangian grids in multiple dimensions. An example of a physically relevant numerical simulation is presented.

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“…Together with a conservative high-order time integration, the numerical scheme attains an arbitrary order of convergence for ideal MHD problems theoretically. The implementation is part of the multi-physics code PETE2 [19], which continues our previous efforts [20,21].…”

Section: Introductionmentioning

confidence: 99%

High-Order Curvilinear Finite Element Magneto-Hydrodynamics I: A Conservative Lagrangian Scheme

Nikl,

Kuchařík,

Weber

2021

Preprint

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Magneto-hydrodynamics is one of the foremost models in plasma physics with applications in inertial confinement fusion, astrophysics and elsewhere. Advanced numerical methods are needed to get an insight into the complex physical phenomena. The classical Lagrangian methods are typically limited to the low orders of convergence and suffer from violation of the divergence-free condition for magnetic field or conservation of the invariants. In this paper, a multi-dimensional conservative high-order resistive magneto-hydrodynamic method based on curvilinear finite elements is presented. The condition on zero divergence of magnetic field and conservation of mass, momentum, magnetic flux and the total energy are satisfied exactly. The curvilinear elements prevent entangling of the computational mesh and its imprinting into the solution. A high-order conservative time integration is applied, where an arbitrary order of convergence is attained for problems of ideal magneto-hydrodynamics. Description of the method is given and multiple test problems demonstrating properties of the scheme are performed. The construction of the method and possible future directions of development are discussed.

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Nonlocal transport hydrodynamic model for laser heated plasmas

Cited by 17 publications

References 59 publications

AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

AWBS kinetic modeling of electrons with nonlocal Ohms law in plasmas relevant to inertial confinement fusion

Lagrangian Magneto-Hydrodynamics Based On Curvilinear Finite Elements

High-Order Curvilinear Finite Element Magneto-Hydrodynamics I: A Conservative Lagrangian Scheme

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