Validation: Turbulent Zero Pressure Gradient Flat Plate – simpleFOAM, komegaSST

An excellent test case, and case to familiarize yourself with some of the turbulence models available in OpenFOAM is a 2D flat plate with zero pressure gradient. I will solve this problem using the solver simpleFoam and the komegaSST model. Here are the sections of this post: Quick Overview: kω-SST (komegaSST) Boundary Conditions Case set-up … Continue reading Validation: Turbulent Zero Pressure Gradient Flat Plate – simpleFOAM, komegaSST

Alternate Set-up: Oblique Shock in rhoCentralFOAM

I have already done a post on supersonic flow over 23 degree wedge. In that post, we were intentionally creating a situation where the shock wave would be detached from the obstacle. The set-up in that case is certainly appropriate when the shock is attached as well. However it is possible to use an even simpler set up … Continue reading Alternate Set-up: Oblique Shock in rhoCentralFOAM

Numerical Solution of the Compressible Laminar Boundary Layer Equations

In this post I go over the numerical solution to the compressible boundary layer equations. This is very useful when a quick estimate of shear stress, wall heat flux, or boundary layer height if necessary. The sections of this post are: Introduction Compressibility transformation Using the general parabolic form Numerical solution using Crank-Nicolson Results and comparison … Continue reading Numerical Solution of the Compressible Laminar Boundary Layer Equations

Derivation of the Euler Equations

In this post I am going to derive the compressible Euler equations: $latex \frac{\partial \rho}{\partial t} + \nabla \cdot (\rho \vec{V}) =0$ (1) $latex \rho \frac{\partial \vec{V}}{\partial t} + \rho \vec{V} \cdot \nabla \vec{V} = -\nabla p$ (2) $latex \rho \dot{q} = \frac{\partial}{\partial t}\rho e + \nabla \cdot \left[\rho (h+\frac{|V|^2}{2})\right]$ (3) These equations are essentially … Continue reading Derivation of the Euler Equations

Oblique Shockwaves

In this post I go over the theory of oblique shocks by building on our understand of normal shockwaves! I will give a short overview of the theory and strategy for analysis. Here is a summary of the contents of this post: Introduction to oblique shocks Analysis of the oblique shock Working relations for an oblique … Continue reading Oblique Shockwaves

Pressure Driven Nozzle Flow with Shock – rhoCentralFoam

In this post I will go over the set up and solution of a pressure driven nozzle flow with a shock located in the diverging section. This refers to the type of flow problem described by region b in my page covering stationary normal shock-waves. Here is a summary of the contents of this post: Nozzle Design … Continue reading Pressure Driven Nozzle Flow with Shock – rhoCentralFoam