2. Benchmark solution#

2.1. Calculation method used for the reference solution#

The reference solution is the one recommended by Hughes and Brooks in their article cited as a bibliographical reference [bib1].

As an exact solution, we can take the temperature field from the upstream border projected onto the downstream border in the direction of the speed.

_images/10000000000005FD0000059BA5A788C64D8F8840.png

2.2. Benchmark results#

The temperatures are being tested on the border between points \(E\) and \(D\).

_images/1000000000000CB3000002DCCAF076D03F367504.png

2.3. Uncertainty about the solution#

Analytical solution.

2.4. Bibliographical references#

  • T.J.R. HUGHES, A. BROOKS « A multidimensional scheme with no crosswind diffusion » - T.J.R. HUGHES ed., Finite Element Methods for convection doninated flows, AMD Vol. 34 (ASME, New York (1979)).