Computational Fluid Dynamics (II)
- Review of the governing equations of transient viscous compressible flow and its simplified versions-Review of different versions of energy equation-Studying behavior of each term in the governing equations
- Density and pressure based methods, Fundamentals of each method, Velocity range covered by them, Advantages and disadvantages of each method, Difficulties associated with pressure calculation using density in density-based methods, Linearization of mass conservation equation for the solution of all speed flows in pressure-based methods
- Discretization of general convection diffusion equation on an isolated element
Discrete form of this equation in matrix form, Numerical modeling of transient, diffusion, and source terms,
Convection term modeling: linear approximation, Unwinding and the problem of false diffusion,
Skewed upstream modeling and its affect on correcting false diffusion - second Assignment, Heat transfer in Taylor problem using bi-linear interpolation
- Convection modeling using combination of 1st order upwinding anf 2nd order averaging, modeling using analytical solution of 1-D convection diffusion equation, modeling using 2nd order upwinding - Third Assignment, Heat transfer in Taylor problem using skewed upwinding
- Review of general convection diffusion equation, Review of control volume based finite element, elements, control volumes and sub-control volumes, sub surfaces, its advantages and disadvantages with respect to finite volume method, Assembly process of finite element method, Using control volume based finite element to model two dimensional transient diffusion problem, Assembly process and boundary conditions for this example
- Using control volume based finite element to model two dimensional transient diffusion problem, Assembly process and boundary conditions for this example, Assignment to solve two dimensional transient diffusion problem on 4 simple elements with adiabatic boundary conditions, Evaluation of quantities and their derivatives using bi-linear interpolation - First Assignment
- Convection term modeling based on Physical Influence Scheme in 2 dimensions, and review of the behavior of this scheme - Forth Exercise (Fifth assignment - Heat transfer in Taylor problem using PIS)
- Formation of 4 sub-control volume momentum conservation equations of isolated element and assembly of their coefficients into the global system of equations
- Modeling of velocities in the mass conservation equation at the surfaces of the sub-control volumes of the isolated element
- Convection term modeling based on Physical Influence Scheme, and review of the behavior of this scheme - Forth Assignment (Grid of first project)
- Introducing AUSM method
- Boundary conditions for subsonic and supersonic flows at inlet and outlet boundaries - Boundary condition on wall boundaries
- Formation of 4 sub-control volume mass conservation equation of isolated element and assembly of their coefficients into the global system of equations
- Introducing structure of computer code to solve 2-dimensional transient viscous incompressible flow - Boundary conditions - Assignment of first project
- Numerical solution of 2-dimensional transient inviscid compressible flow - Governing equations - Discretization of domain into unstructured triangular finite volumes - Introducing ROEs method
- Introducing second project