Fully implicit 1D radiation hydrodynamics: Validation and verification

Ghosh, Karabi; Menon, Suresh

doi:10.1016/j.jcp.2010.06.031

Cited by 10 publications

(4 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Seemingly this is a contradiction, since Mishra et al We also note that Nova's "two-steps" temperature profile (see black/red curves in Fig. 2), creates a 'kink' in the distance traversed by the shock trajectory curve, yielding two different shock-velocities [21,28,30,33]. The simple analytic model reproduces this fact completely, separating the temperature profile to two pulses with different temperature.…”

Section: F Final Equationsmentioning

confidence: 93%

“…A decade ago, there was a renewed interest in these experiments and Kauffman's scaling relation, due to the works by Li et al [21,22]. Following direct full simulations, they claim that Kauffman's scaling relation is not universal, but rather is only correct for Nova long laser pulses (≈2-2.5nsec), in which case their simulations reproduce quantitatively the Nova experiment (also in the work of [30]). In shorter pulses of ≈1nsec, like in the SG-II and SG-III (ShenGuang) facilities, a new scaling relation is introduced [21]:…”

Section: The Shock-wave Measurements Experiments and The Dif-ferent S...mentioning

confidence: 98%

“…presents some quantitative data [30], showing that the shock velocity changes from 35.4 to 54.6km/sec, when the first step is characterized with an incident radiation temperature of transfer is crucial for modeling hohlraums, in the quest for indirect drive ICF [1,2]. This feature enables to evaluate the radiation drive temperature T Rad inside the hohlraum, through the measurement of the emitted shock wave D S that is developed in a well-characterized material, such as aluminium [19-21, 23, 24, 27].…”

Section: F Final Equationsmentioning

confidence: 99%

See 2 more Smart Citations

Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions

Heizler,

Shussman,

Fraenkel

2021

Preprint

View full text Add to dashboard Cite

We study the phenomena of radiative-driven shock waves using a semi-analytic model based on self similar solutions of the radiative hydrodynamic problem. The relation between a hohlraum drive temperature and resulting ablative shock makes it as a well-know method for estimating the drive temperature. However, the different studies yield different scaling relations between T Rad and D S , based on different simulations. In [T. Shussman and S.I. Heizler, Phys. Plas., 22, 082109 (2015)] we derive full analytic solutions for the subsonic heat wave, that include both the ablation and the shock wave regions. Using this self-similar approach we derive here the T Rad (D S ) for aluminium, using the detailed Hugoniot relations and including transport effects. By our semianalytic model, we find a spread of ≈ 40eV in the T Rad (D S ) curve, as a function of the temperature profile's duration and its temporal profile. Our model agrees with the different experiments and the simulations data, explaining the difference between the different scaling relations that appear in the literature.

show abstract

Section: F Final Equationsmentioning

confidence: 93%

Section: The Shock-wave Measurements Experiments and The Dif-ferent S...mentioning

confidence: 98%

Section: F Final Equationsmentioning

confidence: 99%

See 1 more Smart Citation

Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions

Heizler,

Shussman,

Fraenkel

2021

Preprint

View full text Add to dashboard Cite

show abstract

“…As a result, the time dependent thermal radiation transport problems are commonly solved numerically. Several numerical methods are in use for this purpose, namely the discrete ordinates (Ghosh and Menon, 2010), finite volume (Kim et al, 2010), Monte Carlo (Fleck and Cummings, 1971), hybrid stochastic-deterministic (Densmore, 2006), (Connolly et al, 2012), or the approximate methods like the Eddington approximation (Shettle and Weinman, 1970), heat conduction (Goldstein et al, 2010) or the diffusion approximations (Dai and Woodward, 1998), (Knoll et al, 2001), (Ober and Shadid, 2005). Benchmark results for test problems are necessary to validate and verify the numerical codes (Ensman, 1994).…”

Section: Introductionmentioning

confidence: 99%

Analytical benchmark for non-equilibrium radiation diffusion in finite size systems

Ghosh

2014

Annals of Nuclear Energy

Self Cite

View full text Add to dashboard Cite

a b s t r a c tNon-equilibrium radiation diffusion is an important mechanism of energy transport in inertial confinement fusion, astrophysical plasmas, furnaces and heat exchangers. In this paper, an analytical solution to the non-equilibrium Marshak diffusion problem in a planar slab and spherical shell of finite thickness is presented. Using Laplace transform method, the radiation and material energy densities are obtained as functions of space and time. The variation in integrated energy densities and leakage currents are also studied. In order to linearize the radiation transport and material energy equation, the heat capacity is assumed to be proportional to the cube of the material temperature and the opacity to be independent of temperature. The steady state energy densities show linear variation along the depth of the planar slab, whereas non-linear dependence is observed for the spherical shell. The analytical energy densities show good agreement with those obtained from finite difference method using small mesh width and time step. The benchmark results obtained in this work can be used to validate and verify non-equilibrium radiation diffusion computer codes in both planar and spherical geometry.

show abstract

Influence of elevated river flow on hypoxia occurrence, nutrient concentration and microbial dynamics in a tropical estuary

Lee

Lim

Heng

et al. 2020

Environ Monit Assess

View full text Add to dashboard Cite

Fully implicit 1D radiation hydrodynamics: Validation and verification

Cited by 10 publications

References 20 publications

Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions

Radiation drive temperature measurements in aluminium via radiation-driven shock waves: Modeling using self-similar solutions

Analytical benchmark for non-equilibrium radiation diffusion in finite size systems

Influence of elevated river flow on hypoxia occurrence, nutrient concentration and microbial dynamics in a tropical estuary

Contact Info

Product

Resources

About