Publications

1997

• A finite volume algorithm to compute dense compressible gas-solid flows
  
  • Combe Laure
  • Hérard Jean-Marc
  , 1997. (10.2514/6.1997-2082)
  DOI : 10.2514/6.1997-2082
• An approximate Riemann solver to compute compressible flows using second-moment closures
  
  • Berthon Christophe
  • Coquel Frederick
  • Hérard Jean-Marc
  • Uhlmann Markus
  , 1997. (10.2514/6.1997-2069)
  DOI : 10.2514/6.1997-2069
• Second Order Modelling of Incompressible Turbulent Buoyant Flows: Some Comments on the Maximum Principle
  
  • Hérard Jean-Marc
  , 1997, pp.197-204. When focusing on incompressible turbulent flows with buoyant effects, the problem of the Maximum Principle for the mean Temperature (MPT afterwards) simply arises from the fact that: Tmin ≤ T(x,t) ≤Tmax implies: Tmin ≤ (x,t) ≤ Tmax, where <.> denotes some statistical average. This is a standard feature for laminar flows, and it was early pointed out by Du Vachat [3], Lumley [13] and Schumann [15] within the frame of turbulent flows. Actually the latter MPT means that two new positivity constraints should hold, namely: (Tmax - (x,t)) ≥ 0, and: ( (x,t) - Tmin) ≥ 0. Hence, the problem is: do second order closures enable to preserve the MPT ? The present contribution aims at providing some enlightenments on this particular topic. (10.1007/978-94-011-5474-1_25)
  DOI : 10.1007/978-94-011-5474-1_25