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In this work, we present a subdomain discontinuous least-squares (SDLS)scheme for neutronics problems. Least-squares (LS) methods are known to beinaccurate for problems with sharp total-cross section interfaces. In addition,the least-squares scheme is known not to be globally conservative inheterogeneous problems. In problems where global conservation is important,e.g. k-eigenvalue problems, conservative treatment must be applied. We, in thisstudy, proposed a SDLS method that retains global conservation. Such a methodresembles the LS formulation in each subdomain without material interface anddiffers from LS in that an additional least-squares interface term appears foreach interface. Scalar flux is continuous in each subdomain with continuousfinite element method (CFEM) while discontinuous on interfaces for every pairof contiguous subdomains. SDLS numerical results are compared with thoseobtained from other numerical methods with test problems having materialinterfaces. High accuracy of scalar flux in fixed-source problems and$k_\mathrm{eff}$ in eigenvalue problems are demonstrated.

An Accurate Globally Conservative Subdomain Discontinuous Least-squares Scheme for Solving Neutron Transport Problems