Exact & Manufactured Solutions

Fundamental ingredients to properly identify the accuracy of numerical algorithms and the correctness of their implementation

Multi-physics solutions are very sparse. Our requirements are:

  • Compressible regime, non-smooth (shocked) solutions
  • Complex equation of state, typically tabulated
  • Unsteadiness and long-time integration
  • Multi-code environment
Identified few important exceptions
  • Unsteady coupled flow/solid heat transfer
  • Normal and weakly curved shocks
  • RHPM flyer

MMS preliminary work (summer internships at Sandia)

  • Non linear EOS for combustion: L. Shunn
  • Verification of UQ propagation methods: P. Constantine

___________________________________________________

  1. Pozzi, A., & Tognaccini, R. “Time Singularities in Conjugated Thermo-Fluid-Dynamic Phenomena”. J. Fluid Mech. Vol. 538, 2005.
  2. Shunn, L., & Ham, F. “Consistent and Accurate State Evaluation in Variable-Density Flow Simulation”, CTR Annual Briefs, 2006.

 

 
© Stanford University. All Rights Reserved. Stanford, CA 94305. (650) 723-2300. Terms of Use | Copyright Complaints