ANS is committed to advancing, fostering, and promoting the development and application of nuclear sciences and technologies to benefit society.
Explore the many uses for nuclear science and its impact on energy, the environment, healthcare, food, and more.
Division Spotlight
Human Factors, Instrumentation & Controls
Improving task performance, system reliability, system and personnel safety, efficiency, and effectiveness are the division's main objectives. Its major areas of interest include task design, procedures, training, instrument and control layout and placement, stress control, anthropometrics, psychological input, and motivation.
Meeting Spotlight
2024 ANS Annual Conference
June 16–19, 2024
Las Vegas, NV|Mandalay Bay Resort and Casino
Standards Program
The Standards Committee is responsible for the development and maintenance of voluntary consensus standards that address the design, analysis, and operation of components, systems, and facilities related to the application of nuclear science and technology. Find out What’s New, check out the Standards Store, or Get Involved today!
Latest Magazine Issues
Apr 2024
Jan 2024
Latest Journal Issues
Nuclear Science and Engineering
May 2024
Nuclear Technology
Fusion Science and Technology
Latest News
College students help develop waste-measuring device at Hanford
A partnership between Washington River Protection Solutions (WRPS) and Washington State University has resulted in the development of a device to measure radioactive and chemical tank waste at the Hanford Site. WRPS is the contractor at Hanford for the Department of Energy’s Office of Environmental Management.
Bojan G. Petrović, Alireza Haghighat
Nuclear Science and Engineering | Volume 124 | Number 1 | September 1996 | Pages 31-62
Technical Paper | doi.org/10.13182/NSE96-A24222
Articles are hosted by Taylor and Francis Online.
Recent pressure vessel fast fluence calculations have revealed numerical difficulties (spatial oscillations) in the SN solutions, which have persisted in spite of mesh refinement. It is demonstrated that other shielding/deep-penetration applications may be affected; in fact, any SN solution in which the uncollided flux component is significant is likely to exhibit such difficulties. Test problems have been designed to characterize and understand numerical difficulties. Main analyses are performed using the diamond-difference (DD) scheme, which is linear and forms the basis for other (more complex) low-order differencing schemes. The genesis of oscillations is shown to be related to several effects specific for multidimensional geometries as follows: ambiguity in the interpretation of boundary conditions, discontinuities, and different directions of particle streaming and differencing. It has further been explained why the mesh refinement does not produce the intuitively expected results. Other low-order differencing schemes (e.g., the DD with negative flux fixup and the θ-weighted) may partly remedy the situation by reducing the oscillations or by eliminating the oscillations at a cost of “oversmoothing” the results everywhere (e.g., the zero-weighted scheme). These schemes provide more robust solutions, but the inherent difficulties (although reduced) still remain. Types of discontinuities that trigger the oscillations are also examined; it is difficult to envisage an actual practical application free of such discontinuities. The magnitude of numerical difficulties (oscillations) and their practical relevance will depend on all SN model features, the differencing scheme being used, and the application requirements, but this study has shown that they are inherent to multidimensional finite-difference SN algorithms.