CBCGS [2018 - current]

CBGS [2014 - 2017]

Old [2000 - 2013]

## Topics with syllabus and resources

100.00 Introduction

- Advantages of Computational Fluid Dynamics, Typical Practical Applications,Equation Structure, Overview of CFD

200.00 Preliminary Computational Techniques

- Discretisation, Approximation to Derivatives, Accuracy of the Discretisation Process, Wave Representation, Finite Difference Method

300.00 Theoretical Background

- Convergence, Consistency, Stability, Solution Accuracy, Computational Efficiency

400.00 Weighted Residual Methods

- General Formulation, Finite Volume Method, Finite Element Method and Interpolation, Finite Element Method and the Sturm-Liouville Equation

500.00 Steady Problems

- Nonlinear Steady Problems, Newtons Method, Direct Linear Method, Thomas Algorithm

600.00 One-dimensional Diffusion Equation

- Explicit Methods, Implicit Methods, Boundary and Initial Conditions, Method of Lines

700.00 Multidimensional Diffusion Equation

- Two-Dimensional Diffusion Equation, Multidimensional Splitting Schemes, Splitting Schemes and the Finite Element Method, Neumann Boundary Conditions

800.00 Linear Convection-dominated Problems

- One-Dimensional Linear Convection Equation, Numerical Dissipation and Dispersion, Steady Convection-Diffusion Equation, One Dimensional Transport Equation, Two-Dimensional Transport Equation