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Author Guérin, Pierre ♦ Baudron, Anne-Marie ♦ Lautard, Jean-Jacques
Source CiteSeerX
Content type Text
File Format PDF
Language English
Subject Domain (in DDC) Computer science, information & general works ♦ Data processing & computer science
Subject Keyword Entire Nuclear Reactor Core ♦ Second One ♦ Interface Condition ♦ Industrial Application ♦ Local Problem ♦ Numerical Result ♦ Close Subdomains ♦ Global Problem ♦ Basis Function ♦ Several Eigenmodes Solution ♦ Non-overlapping Domain Decomposition ♦ Transport Calculation ♦ Simplified Transport ♦ Diffusion Model ♦ Core Calculation ♦ Domain Decomposition Method ♦ Minos Solver ♦ Parallel Computer ♦ Previous Iteration ♦ First One ♦ Modal Synthesis Method ♦ Robin Interface Condition ♦ Iterative Method ♦ Whole Domain
Description Cell by cell homogenized transport calculations of an entire nuclear reactor core are currently too expensive for industrial applications, even if a simplified transport (SPn) approximation is used. In order to take advantage of parallel computers, we propose here two domain decomposition methods using the mixed dual finite element solver MINOS. The first one is a modal synthesis method on overlapping subdomains: several eigenmodes solutions of a local problem on each subdomain are taken as basis functions used for the resolution of the global problem on the whole domain. The second one is an iterative method based on non-overlapping domain decomposition with Robin interface conditions. At each iteration, we solve the problem on each subdomain with the interface conditions given by the solutions on the close subdomains estimated at the previous iteration. For these two methods, we give numerical results which demonstrate their accuracy and their efficiency for the diffusion model on realistic 2D and 3D cores.
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research
Education Level UG and PG ♦ Career/Technical Study
Learning Resource Type Article
Publisher Date 2007-01-01
Publisher Institution Joint International Topical Meeting on Mathematics & Computation and super Computing in Nuclear Applications