Computational Fluid Dynamics

Classification of the basic equations for fluid mechanics, heat transfer and combustion. Discretization of transport equations for compressible and incompressible flow. Finite volume methods for heat transfer and fluid flow in one and more dimensions: Diffusion, advection, convection-diffusion, Burgers'-, Euler, and Navier-Stokes equations. Numerical solution with modern upwind methods. Numerical solution of the unsteady gas dynamical equations. The SIMPLE and SIMPLEC algorithms for the coupling of pressure and velocity for incompressible flow. Steady state and unsteady problems. Solution of algebraic systems of equations. Turbulence and turbulence modeling. Combustion. chemical kinematics (hydrogen/air), turbulent combustion and turbulence combustion models. Grid generation. Use of a modern computational fluid dynamics (CFD) tool and application to heat and fluid flow. Verification and validation.

The student shall be able to do the necessary and make well-founded choices for a CFD simulation setup, and the student shall become a critical CFD user.

The course introduces numerical simulation of heat transfer and fluid flow problems in industrial and natural processes. Emphasis is put on learning the practical use of numerical methods and to train their programming in Python/Matlab. The students will learn to assess the accuracy and to interpret the meaning of the numerical results in heat transfer and fluid flow.

After completion of this course, the student will have skills on:

• Practical use and programming of numerical methods in heat transfer and fluid dynamics.
• Checking and assessing the accuracy of numerical results.
• Interpretation of the numerical results in heat transfer and fluid dynamics.
• Consistency analysis, modified equation analysis and von Neumann stability analysis of finite difference methods.
• Derivation and use of characteristic boundary conditions.
• Implementation of Dirichlet and Neumann boundary conditions in finite volume methods.
• Checking and accelerating iterative methods for the solution of systems of equations.
• Numerical solution of practical problems in heat transfer and fluid dynamics.
• Verify and validate simulation results for heat transfer and fluid flow problems.

Lectures and lessons. Learning is based on extensive student activity in the form of solving exercise problems. Programming in Python/Matlab. The teaching will be in English when students who do not speak Norwegian take the course.