Pressure updating methods for the steady-state fluid equations

A. Fiterman, E. Turkel, V. Vatsa

Research output: Contribution to conferencePaperpeer-review


We consider the steady state equations for a compressible fluid. Since we wish to solve for a range of speeds we must consider the equations in conservation form. For transonic speeds these equations are of mixed type. Hence, the usual approach is to add time derivatives to the steady state equations and then march these equations in time. One then adds a time derivative of the density to the continuity equation, a derivative of the momentum to the momentum equation and a derivative of the total energy to the energy equation. This choice is dictated by the time consistent equations. However, since we are only interested in the steady state this is not necessary. Thus we shall consider the possibility of adding a time derivative of the pressure to the continuity equation and similar modifications for the energy equation. This can then be generalized to adding combinations of time derivatives to each equation since these vanish in the steady state. When using acceleration techniques such as residual smoothing, multigrid, etc. these are applied to the pressure rather than the density. Hence, the code duplicates the behavior of the incompressible equations for low speeds.

Original languageEnglish
Number of pages9
StatePublished - 1995
Event12th Computational Fluid Dynamics Conference, 1995 - San Diego, United States
Duration: 19 Jun 199522 Jun 1995


Conference12th Computational Fluid Dynamics Conference, 1995
Country/TerritoryUnited States
CitySan Diego


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