Dream fusion in octahedral spherical hohlraum

Lan, Ke

doi:10.1063/5.0103362

Cited by 33 publications

(16 citation statements)

References 106 publications

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“…With these notations in (6), (7) and (8), equation (1) turns to an equivalent multi-group radiative transfer system.…”

Section: Frequency Space Discretizationmentioning

confidence: 99%

“…Under the multi-group framework, we will give the discretization of spatial and time variable on unstructured mesh here, based on the finite volume method. For simplicity, we only consider the two-dimensional Cartesian spatial case for problem (1). But the extension to three-dimensional case is straightforward.…”

Section: Spatial and Time Discretizationmentioning

confidence: 99%

“…The thermal radiative transfer (TRT) equations, which describe the time evolution of radiative intensity and its interaction with the background material, has wide applications in astrophysics, atmospheric physics, inertial confinement fusion (ICF), high temperature flow systems, plasma physics, etc [1,2]. It comprises the kinetic radiation transport equation which describes the photon transport in the background material and the material energy equation which describes the energy exchange between radiation and background material.…”

Section: Introductionmentioning

confidence: 99%

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A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

Chang

2023

SSRN Journal

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“…With these notations in (6), (7) and (8), equation (1) turns to an equivalent multi-group radiative transfer system.…”

Section: Frequency Space Discretizationmentioning

confidence: 99%

Section: Spatial and Time Discretizationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

Chang

2023

SSRN Journal

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“…Radiation transport is the essential energy transfer process in astrophysics and high-energy-density physics [11,5,12,14]. It is described by a system of nonlinear equations, which includes a kinetic equation modeling the transport of photons and an equation for material energy evolution.…”

Section: Introductionmentioning

confidence: 99%

Unified Gas-Kinetic Particle Method for Frequency-dependent Radiation Transport

Li¹,

Liu²,

Song³

2023

Preprint

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This paper proposes a unified gas-kinetic particle (UGKP) method for the frequency-dependent photon transport process. The photon transport is a typical multiscale process governed by the nonlinear radiative transfer equations (RTE). The flow regime of photon transport varies from the ballistic regime to the diffusive regime with respect to optical depth and photon frequency. The UGKP method is an asymptotic preserving (AP) scheme and a regime adaptive scheme. The teleportation error is significantly reduced, and the computational efficiency is remarkably improved in the diffusive regime. Distinguished from the standard multigroup treatment, the proposed UGKP method solves the frequency space in a non-discretized way. Therefore the Rosseland diffusion system can be precisely preserved in the optically thick regime. Taking advantage of the local integral solution of RTE, the distribution of the emitted photon can be constructed from its macroscopic moments. The Monte Carlo particles in the UGKP method need only be tracked before their first collision events, and a re-sampling process is performed to close the photon distribution for each time step. The large computational cost of excessive scattering events can be saved, especially in the optically thick regime. The proposed UGKP method is implicit and removes the light speed constraint on the time step. The particle tracking approach combining the implicit formulation makes the proposed UGKP method an efficient solution algorithm for frequency-dependent radiative transfer problems. We demonstrate with numerical examples the capability of the proposed multi-frequency UGKP method.

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“…The second level is that the energy released by hot spot fusion rapidly heats the surrounding cold fuel to realize plasma Burn propagation. The third level is the energy gain greater than 1 (Scientific breakeven), that is, the energy released in the implosion process is greater than the incident laser energy [1,2,3]. In 2021, scientists achieved a fusion energy of 1.37MJ at the National Ignition Facility in the United States by means of laser indirect drive, with a relative incident laser energy gain of 0.72 times, reaching the Lawson criterion and standing on the ignition threshold.…”

Section: Introductionmentioning

confidence: 99%

An efficient numerical method for charged particle transport based on hybrid collision model and machine learning

Liu¹,

Du²,

Song³

2023

Preprint

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Charged particle transport is an important energy transport mode in the combustion process of inertial confinement fusion plasma. On the one hand, charged particles inside the hot spot have strong non-equilibrium effect, so it is necessary to solve the Boltzmann transport equation to accurately simulate the energy transport process of charged particles. On the other hand, charged particle transport has the characteristics of high collision frequency and complex blocking power, so the calculation amount of traditional Monte Carlo algorithm is difficult to bear under the existing calculation conditions. Aiming at the computational bottleneck caused by the large Coulomb potential collision cross section, we developed a hybrid collision model which greatly reduced the computational cost while maintaining the second-order accuracy of the collision process. In order to solve the computational bottleneck caused by complex blocking power model, we developed a neural network model based on machine learning to achieve formal unity and efficient calculation of different blocking power. Based on the developed calculation method, we developed the charged particle transport MC function modules of RDMG program and LARED-S program, and applied them to the study of critical target performance of inertial confinement fusion, which showed good computational efficiency and accuracy.

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Dream fusion in octahedral spherical hohlraum

Cited by 33 publications

References 106 publications

A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

A Unified Gas-Kinetic Particle Method for Frequency-Dependent Radiative Transfer Equations with Isotropic Scattering Process on Unstructured Mesh

Unified Gas-Kinetic Particle Method for Frequency-dependent Radiation Transport

An efficient numerical method for charged particle transport based on hybrid collision model and machine learning

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