Study on Numerical Solving Algorithm of Nuclear Fuel Thermal Conductivity Equation
In view of the large matrix dimensions of the thermal conductivity equation in the nuclear fuel subchannel analysis method,several numerical solutions of tridiagonal matrix are introduced to study the applicability of numerical solutions under different matrix dimensions.By derivation of the nuclear fuel thermal conductivity equation,the characteristics of the equation were analyzed,the condition number discriminant method was introduced to quantify the pathological degree of the matrix,the column selection principal element trigonometric decomposition method,the overrelaxation iterative method and the conjugate gradient method were used to solve the large sparse trial matrix of different dimensions,and the residual sum of squares of each numerical solution method was compared.The convergence steps of the iterative solution are compared under certain precision.After considering the calculation accuracy and speed,numerical solutions of nuclear fuel thermal conductivity equations under different conditions are given.
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