Advanced designs of micro reactors are distinguished by intricate geometries and pronounced neutron leakage.To enhance the precision of neutron property analysis in these complex geometrical designs,this study introduces an Unstructured Mesh Variational Nodal Method(UVNM-SN).The UVNM-SN method initiates from the functional formulation of the second-order even-parity neutron transport equation.Spatially,arbitrary triangular unstructured meshes and coordinate mapping techniques are employed.Besides,angular decoupling of the original equations is achieved through the application of the discrete-ordinate(SN)method.Furthermore,the SIMONS design,a helium-xenon(He-Xe)-cooled micro reactor,is chosen as the analytical subject to verify the performance of the UVNM-SN.Numerical results demonstrate that UVNM-SN exhibits geometric adaptability and computational precision in heterogeneous problems with complex geometries.Consequently,it is concluded that UVNM-SN can stand as an innovative strategy for numerical simulations in advanced micro-reactor designs.
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