This is an introductory module in Computational Fluid Dynamics (CFD) ideally suited for delivery at postgraduate level. The module builds upon the knowledge and understanding of fluid mechanics developed at undergraduate level. The structure of the module follows that of a highly-regarded introductory textbook on CFD and enables the learner to become competent employing CFD for the solution of real-life fluid-flow problems.
Introduction to CFD, uses, advantages and disadvantages etc. The substantial derivative, derivation of the continuity equation, momentum equations, and the energy equation. Viscosity, and Newtonian and non-Newtonian fluids. The finite difference method and discretisation. Difference equations using the example of the linear wave equation and employing explicit and implicit time marching schemes. Couette flow using explicit time marching schemes. Couette flow using an implicit time marching scheme. The pressure correction (pressure-velocity coupling) method for lid-driven cavity flow using a finite volume discretisation. von Neumann stability method. Classification of partial differential equations. Mathematical behaviour of partial differential equations.
