In this post I will simulate inviscid Mach 1.5 flow over a 23 degree wedge of a finite height. A finite height is required because at Mach 1.5 the leading edge shock-wave is detached for a deflection angle of 23 degrees. Without a finite height the shock wave standoff distance would be indeterminate. Here is … Continue reading Mach 1.5 flow over 23 degree wedge – rhoCentralFoam
Compressible Aerodynamics Calculator – Matlab
Here I have written a Matlab App for calculating compressible aerodynamics using the basic gas dynamics equations. The calculations available are: Isentropic Flow (including Prandtl-Meyer flow) Normal Shocks (See article) Oblique Shocks Fanno Flow Rayleigh Flow To install simply download the file from the Matlab File Exchange here: http://www.mathworks.com/matlabcentral/fileexchange/56152-compressiblecalccf?s_tid=srchtitle If you downloaded it prior to … Continue reading Compressible Aerodynamics Calculator – Matlab
Newton-Raphson Method
I was recently asked by a class to go over the Newton-Raphson method for solving non-linear equations. Specifically in this case it was to solve 1D gas dynamics equations. Here I will just do a brief overview of the method, and how its used. I will solve two cases, one where the derivative of the … Continue reading Newton-Raphson Method
Stationary Normal Shock Waves
Shock-waves are a common topic covered in undergraduate thermodynamics, fluid mechanics, and gas dynamics courses. Because shock-waves are awesome, I figured I would do one of my first posts on their basic theory. I'm going to try to cover the topic by first providing some context and a clear picture of what a shock wave … Continue reading Stationary Normal Shock Waves
Solving the cavity flow problem using the streamfunction-vorticity formulation
The classic lid-driven cavity flow problem is solved using the vorticity streamfunction formulation and compared to a solution using OpenFOAM.