A discontinuous and adaptive reduced order model for the angular discretization of the Boltzmann transport equation

DOI10.1002/nme.6516zbMath1548.74814MaRDI QIDQ6554362

Unnamed Author, Andrew G. Buchan

Publication date: 12 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

proper orthogonal decompositionadaptivityBoltzmann transport equationreduced order modelingneutron transportangular discretisation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (2)

A reduced order model discretisation of the space-angle phase-space dimensions of the Boltzmann transport equation with application to nuclear reactor problems ⋮ Reduced order model enhanced source iteration with synthetic acceleration for parametric radiative transfer equation

Cites Work

• Unnamed Item
• Unnamed Item
• ShengBTE: a solver of the Boltzmann transport equation for phonons
• Reduced order modeling based on POD of a parabolized Navier-Stokes equations model II: trust region POD 4D VAR data assimilation
• A POD reduced order model for resolving angular direction in neutron/photon transport problems
• Applications of the Boltzmann equation within the context of upper atmosphere vehicle aerodynamics
• An `empirical interpolation' method: Application to efficient reduced-basis discretization of partial differential equations
• Principal component analysis.
• Angular adaptivity with spherical harmonics for Boltzmann transport
• Scalable angular adaptivity for Boltzmann transport
• A space-angle DGFEM approach for the Boltzmann radiation transport equation with local angular refinement
• Discontinuous isogeometric analysis methods for the first-order form of the neutron transport equation with discrete ordinate (\(S_N\)) angular discretisation
• A POD reduced-order model for eigenvalue problems with application to reactor physics
• Turbulent thermal convection in a finite domain: Part I. Theory
• Turbulent thermal convection in a finite domain: Part II. Numerical results
• An efficient reduced-order modeling approach for non-linear parametrized partial differential equations
• The discrete cones method for two-dimensional neutron transport calculations
• Turbulence and the dynamics of coherent structures. I. Coherent structures
• On lines and planes of closest fit to systems of points in space.

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