摘要
To predict the temperature field due to heated water discharge, experiment and numerical methods are both usually used. A cubic spline method introduced by Rubin et al. has higher accuracy, but can not be used in non-linear equations like turbulent model. Authors have built a new scheme of cubic spline for non-linear partial differential equation and presented a SIMPLE-like algorithm for solving k-Ε model. Numerical results were compared with the experimental results. The results compared show that the new cubic spline scheme can be successfully used to nonlinear and strong coupling partial differential equations. The differences between experimental data and numerical results may be resulted from the turbulent model itself, therefore, further investigation is needed for these problems.
To predict the temperature field due to heated water discharge, experiment and numerical methods are both usually used. A cubic spline method introduced by Rubin et al. has higher accuracy, but can not be used in non-linear equations like turbulent model. Authors have built a new scheme of cubic spline for non-linear partial differential equation and presented a SIMPLE-like algorithm for solving k-Ε model. Numerical results were compared with the experimental results. The results compared show that the new cubic spline scheme can be successfully used to nonlinear and strong coupling partial differential equations. The differences between experimental data and numerical results may be resulted from the turbulent model itself, therefore, further investigation is needed for these problems.
