Results 141 to 150 of about 49,045 (194)

Acceleration schemes for the discrete ordinates method

Journal of Thermophysics and Heat Transfer, 1996
Discrete ordinates (DO) methods have been developed to solve the multidimensional radiative transport equation (RTE) for applications including combustion processes and other combined-mode heat transfer cases. The convergence of DO methods is known to degrade for optical thicknesses greater than unity, which occur for example in a flame.
V. A. Fiveland, J. P. Jessee
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Particular solutions for the discrete-ordinates method

Journal of Quantitative Spectroscopy and Radiative Transfer, 2000
Abstract A full-range orthogonality relation is developed and used to construct the infinite-medium Green’s function for a general form of the discrete-ordinates approximation to the transport equation in plane geometry. The Green’s function is then used to define a particular solution that is required in the solution of inhomogeneous versions of the
L.B Barichello, R.D.M Garcia, C.E Siewert   +2 more
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A Variational Synthesis Nodal Discrete Ordinates Method

Nuclear Science and Engineering, 1999
A self-consistent nodal approximation method for computing discrete ordinates neutron flux distributions has been developed from a variational functional for neutron transport theory. The advantage of the new nodal method formulation is that it is self-consistent in its definition of the homogenized nodal parameters, the construction of the global ...
J. A. Favorite, W. M. Stacey
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The Method of Discrete Ordinates

Nuclear Science and Engineering, 1958
In this paper the solution of the neutron transport (Boltzmann) equation in plane and spherical geometries is considered.
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SPATIALLY VARYING DISCRETE ORDINATES METHODS IN XY-GEOMETRY

Mathematical Models and Methods in Applied Sciences, 2000
We consider the coupling of angular discretizations of the two-dimensional linear transport equation. We show the well-posedness of the coupled problem and give an error estimate. The angular discretization is based on the discrete ordinates method. It involves a quadrature rule specifically designed for our coupling.
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Sputtering Calculations with the Discrete-Ordinates Method

Nuclear Science and Engineering, 1978
The purpose of this work is to investigate the applicability of the discrete-ordinates (S/sub N/) method to light ion sputtering problems. In particlar, the neutral particle discrete-ordinates computer code, ANISN, is used to calculate sputtering yields. No modifications to this code are necessary to treat charged particle transport.
Hoffman, T. J., Dodds Jr., H. L., Robinson, M.T., Holmes, D.K.   +3 more
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Analysis of discrete ordinates method with even parity formulation

Journal of Thermophysics and Heat Transfer, 1996
The even parity formulation (EPF) of the discrete ordinates method (DOM) is used to simulate radiative heat transfer in two-dimensional enclosures containing an absorbing-emitting and scattering medium. The discrete ordinates equations for the EPF are second-order differential equations and they are spatially discretized using a second-order central ...
J. Liu, H. Shang, Y. Chen, T. Wang
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Numerical analysis of discrete ordinate methods

Journal of Computational Physics, 1968
Abstract It is shown that the DSN equations for spherical nonscattering time-dependent systems can be put in matrix form, and that one can then apply well-known theorems to obtain criteria for stability and monotonicity of the difference operator.
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The discrete-ordinate method in diffusive regimes

Transport Theory and Statistical Physics, 1991
Abstract In highly scattering regimes, the transport equation has a limit in which the leading behavior of its solution is determined by the solution of a diffusion equation. A boundary layer with a thickness of a few mean free paths usually forms between the domain boundary and the interior region, through which the given transport boundary conditions
Shi Jin, David Levermore
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SPATIAL DIFFERENCING SCHEMES OF THE DISCRETE-ORDINATES METHOD

Numerical Heat Transfer, Part B: Fundamentals, 1996
Abstract Several spatial differencing schemes are used to discretize the radiative transfer equation in the context of the discrete-ordinates method. These are the conventional upwind, central, hybrid, and exponential schemes as well as the high-resolution SMART scheme.
F. Liu, H. A. Becker, A. Pollard
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