This class provides the fundamental knowledge on how to solve the governing equations employed in the nuclear thermal hydraulics analysis. It begins with an introduction of the governing equations, expressed as partial differential equations, used in the safety and performance analysis codes. The numerical methods include discretization of the partial differential operators and solution schemes of the discretized linear equations. The finite difference method (FDM) and finite volume method (FVM) will be explained for the discretization of the governing equations. Different solution schemes are introduced for single- and two-phase flow applications. For the two-phase flow, phase coupling schemes are discussed to deal with the interfacial mass, momentum and energy transfers. To enhance understanding, numerical experiments are provided for simple one-dimensional (1D) and two-dimensional (2D) conceptual problems.

The course specifically emphasizes acquiring practical knowledge of numerical methods for nuclear thermal hydraulics. To achieve this, students will learn how to apply these numerical methods in real-world scenarios by developing pilot code for given exercise problems. The Fortran language will be used for writing this pilot code. In addition, students will learn how to write, compile, and execute a Fortran program.