|October 15, 2012, 12:05||
Analytic solution for 2D steady Euler equations
Join Date: Oct 2012
Posts: 1Rep Power: 0
I'm trying to verifiy my CFD code for low Mach number flows with some analytical or manufactured solutions.
The convection and/or diffusion equation for a scalar is fine and now I focus on the Navier Stokes equations:
First, I want to check the non linear convection term, so I suppress the viscosity considering a perfect fluid and starting from the Green Taylor vorticies solution for Navier Stokes:
I get this solution:
which satisfies the steady Euler equations:
I tried this solution with my CFD code setting boundary and initial conditions with the solution, the pressure is also imposed, not computed, with the solution.
At each iteration, I solve the velocity components and then update the convective flux, solve velocity, update the convective flux, etc. I use finite volume, upwind or centered convective scheme.
My problem: after some oscillations, the flow diverges and I don't understand why. Is the solution unstable ? Can't a solver for Navier Stokes solve an Euler problem ?
Did or is anybody try this kind of problem ?
|Thread||Thread Starter||Forum||Replies||Last Post|
|Delta form of Heat, Euler and NS equations||RameshK||Main CFD Forum||3||May 30, 2012 10:41|
|initialize flow field with steady state solution||holg||FLUENT||0||July 13, 2009 17:10|
|Euler equations||Brian||Main CFD Forum||0||September 8, 2008 06:19|
|Euler equations?||Jan Ramboer||Main CFD Forum||2||August 19, 1999 01:58|
|2d analytic Euler solutions?||niles pierce||Main CFD Forum||1||July 14, 1998 12:22|