论文信息 - A diffusion-accelerated solution method for the nonlinear characteristic scheme in slab geometry

A diffusion-accelerated solution method for the nonlinear characteristic scheme in slab geometry

Recently, the nonlinear characteristic (NC) scheme for spatially discretizing the discrete ordinates equations was introduced. This scheme is accurate for both optically thin and optically thick spatial meshes and produces strictly positive angular fluxes. The NC discrete ordinates equations can be solved using the source iteration method; however, it is well known that this method converges prohibitively slowly for optically thick problems with scattering ratios at or near unity. A general nonlinear diffusion synthetic acceleration method for solving the NC equations in slab geometry is described. Numerical results to show the effectiveness and efficiency of the new solution method are provided.

Jim E. Morel | Todd A. Wareing | Wallace F. Walters

[1] E. Jaynes. Information Theory and Statistical Mechanics , 1957 .

[2] R. Vaidyanathan. A Finite Moments Algorithm for Particle Transport Problems , 1979 .

[3] Bryan Minor,et al. Exponential Characteristic Spatial Quadrature for Discrete Ordinates Radiation Transport in Slab Geometry , 1994 .

[4] Todd A. Wareing,et al. An accurate, strictly-positive, nonlinear characteristic scheme for the discrete-ordinate equations , 1996 .

[5] H. Khalil,et al. Effectiveness of a consistently formulated diffusion-synthetic acceleration differencing approach , 1988 .

[6] R. E. Alcouffe,et al. Diffusion synthetic acceleration methods for the diamond-differenced discrete-ordinates equations , 1977 .

[7] Edward W. Larsen,et al. UNCONDITIONALLY STABLE DIFFUSION-SYNTHETIC ACCELERATION METHODS FOR THE SLAB GEOMETRY DISCRETE ORDINATES EQUATIONS. PART I: THEORY. , 1982 .