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Multigroup Radiation-Hydrodynamics with a High-Order, Low-Order Method

Journal Article · · Nuclear Science and Engineering
DOI:https://doi.org/10.13182/NSE16-45· OSTI ID:1338767
 [1];  [1];  [1];  [1];  [1]
  1. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
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Recent efforts at Los Alamos National Laboratory to develop a moment-based, scale-bridging [or high-order (HO)–low-order (LO)] algorithm for solving large varieties of the transport (kinetic) systems have shown promising results. A part of our ongoing effort is incorporating this methodology into the framework of the Eulerian Applications Project to achieve algorithmic acceleration of radiationhydrodynamics simulations in production software. By starting from the thermal radiative transfer equations with a simple material-motion correction, we derive a discretely consistent energy balance equation (LO equation). We demonstrate that the corresponding LO system for the Monte Carlo HO solver is closely related to the original LO system without material-motion corrections. We test the implementation on a radiative shock problem and show consistency between the energy densities and temperatures in the HO and LO solutions as well as agreement with the semianalytic solution. We also test the approach on a more challenging two-dimensional problem and demonstrate accuracy enhancements and algorithmic speedups. This paper extends a recent conference paper by including multigroup effects.
Research Organization:
Los Alamos National Laboratory (LANL)
Sponsoring Organization:
USDOE
Grant/Contract Number:
AC52-06NA25396
OSTI ID:
1338767
Alternate ID(s):
OSTI ID: 1172864
Report Number(s):
LA-UR-16-20880
Journal Information:
Nuclear Science and Engineering, Journal Name: Nuclear Science and Engineering Journal Issue: 1 Vol. 185; ISSN 0029-5639
Publisher:
American Nuclear SocietyCopyright Statement
Country of Publication:
United States
Language:
English

References (10)

Radiative shock solutions with grey nonequilibrium diffusion journal May 2008
Asymptotic equilibrium diffusion analysis of time-dependent Monte Carlo methods for grey radiative transfer journal September 2004
Properties of the implicitly time-differenced equations of thermal radiation transport journal April 2013
Monte Carlo simulation methods in moment-based scale-bridging algorithms for thermal radiative-transfer problems journal March 2015
A Consistent, Moment-Based, Multiscale Solution Approach for Thermal Radiative Transfer Problems journal May 2012
Mitigating Teleportation Error in Frequency-Dependent Hybrid Implicit Monte Carlo Diffusion Methods journal July 2014
Moment-Based Acceleration for Neutral Gas Kinetics with BGK Collision Operator journal July 2014
Four Decades of Implicit Monte Carlo journal September 2015
Development of a Consistent and Stable Fully Implicit Moment Method for Vlasov--Ampère Particle in Cell (PIC) System journal January 2013
Wedgehog Manual and Interface Guide, Jayenne-7_0_0 report March 2013

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Related Subjects

42 ENGINEERING
thermal transfer
radiation hydrodynamics
scale-bridging algorithm
Monte Carlo