Discontinuous Galerkin finite element method applied to the 1-D spherical neutron transport equation

Authors:
Eric Machorro
Affiliations:
Department of Applied Mathematics, University of Washington, P.O. Box 352420, 408 Gugenheim Hall, Seattle, WA 98195-2420, United States and Center for Applied Scientific Computing, Lawrence Liverm ...
Venue:
Journal of Computational Physics
Year:
2007

Citing 3
Cited 2

A Petrov-Galerkin finite element method for solving the neutron transport equation

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A Finite Element Method for the Neutron Transport Equation in an Infinite Cylindrical Domain

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Discontinuous Galerkin Methods: Theory, Computation and Applications

Discontinuous Galerkin Methods: Theory, Computation and Applications

Discontinuous Finite Elements for a Hyperbolic Problem with Singular Coefficient: A Convergence Theory for One-Dimensional Spherical Transport

SIAM Journal on Numerical Analysis
Discrete-Ordinate Discontinuous Galerkin Methods for Solving the Radiative Transfer Equation

SIAM Journal on Scientific Computing

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Abstract

In this note, we examine the implications of Cahn-Hilliard diffusion on mass conservation when using a phase-field model for simulating two-phase flows. Even though the phase-field variable @f is conserved globally, a drop shrinks spontaneously while ...