Abstract
A variational nodal diffusion method with accurate treatment of transverse leakage shape is developed and presented in this paper. Using Legendre expansion in transverse coordinates higher order quasi-one-dimensional nodal equations are formulated. Numerical solution has been carried out using analytical solutions in alternating directions assuming Legendre expansion of the RHS term. The method has been tested against 2D and 3D IAEA benchmark problem, as well as 2D CANDU benchmark problem. The results are highly accurate. The first order approximation yields to the same order of accuracy as the standard nodal methods with quadratic leakage approximation, while the second order reaches reference solution. (author)
Citation Formats
Tomasevic, Dj, and Altiparmarkov, D.
A variational nodal diffusion method of high accuracy; Varijaciona nodalna difuziona metoda visoke tachnosti.
Serbia: N. p.,
1988.
Web.
Tomasevic, Dj, & Altiparmarkov, D.
A variational nodal diffusion method of high accuracy; Varijaciona nodalna difuziona metoda visoke tachnosti.
Serbia.
Tomasevic, Dj, and Altiparmarkov, D.
1988.
"A variational nodal diffusion method of high accuracy; Varijaciona nodalna difuziona metoda visoke tachnosti."
Serbia.
@misc{etde_21239731,
title = {A variational nodal diffusion method of high accuracy; Varijaciona nodalna difuziona metoda visoke tachnosti}
author = {Tomasevic, Dj, and Altiparmarkov, D}
abstractNote = {A variational nodal diffusion method with accurate treatment of transverse leakage shape is developed and presented in this paper. Using Legendre expansion in transverse coordinates higher order quasi-one-dimensional nodal equations are formulated. Numerical solution has been carried out using analytical solutions in alternating directions assuming Legendre expansion of the RHS term. The method has been tested against 2D and 3D IAEA benchmark problem, as well as 2D CANDU benchmark problem. The results are highly accurate. The first order approximation yields to the same order of accuracy as the standard nodal methods with quadratic leakage approximation, while the second order reaches reference solution. (author)}
place = {Serbia}
year = {1988}
month = {Jul}
}
title = {A variational nodal diffusion method of high accuracy; Varijaciona nodalna difuziona metoda visoke tachnosti}
author = {Tomasevic, Dj, and Altiparmarkov, D}
abstractNote = {A variational nodal diffusion method with accurate treatment of transverse leakage shape is developed and presented in this paper. Using Legendre expansion in transverse coordinates higher order quasi-one-dimensional nodal equations are formulated. Numerical solution has been carried out using analytical solutions in alternating directions assuming Legendre expansion of the RHS term. The method has been tested against 2D and 3D IAEA benchmark problem, as well as 2D CANDU benchmark problem. The results are highly accurate. The first order approximation yields to the same order of accuracy as the standard nodal methods with quadratic leakage approximation, while the second order reaches reference solution. (author)}
place = {Serbia}
year = {1988}
month = {Jul}
}