A remedy to prevent the P1SA scheme degradation in multidimensional S{sub n} calculations in the presence of material discontinuities
- Keldysh Inst. of Applied Mathematics, Miusskaya Sq., 4, 125047, Moscow (Russian Federation)
In the paper a way to prevent the P1 synthetic acceleration (P1SA) scheme degradation in solving small absorption highly heterogeneous (SAHH) multidimensional problems that ensures fast pointwise convergence of the P1SA scheme is discussed. Numerical experiment has shown that the lack of the difference scheme mono-tonicity is the reason of the consistent P1SA scheme degradation in solving SAHH problems. So, improvement of the difference scheme mono-tonicity also improves convergence of the consistent P1SA scheme in solving SAHH problems. In the paper we discuss remedies those improve the difference scheme mono-tonicity without essential degradation in accuracy. We also present results which demonstrate that a suitable choice of the fix-up function in the adaptive weighted diamond difference (AWDD) scheme essentially extends the class of SAHH problems, which can be efficiently accelerated by the consistent P1SA scheme. (authors)
- Research Organization:
- American Nuclear Society, 555 North Kensington Avenue, La Grange Park, IL 60526 (United States)
- OSTI ID:
- 22039752
- Resource Relation:
- Conference: PHYSOR-2006: American Nuclear Society's Topical Meeting on Reactor Physics - Advances in Nuclear Analysis and Simulation, Vancouver, BC (Canada), 10-14 Sep 2006; Other Information: Country of input: France; 10 refs.
- Country of Publication:
- United States
- Language:
- English
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