- A space-marching method has been developed to compute three-dimensional viscous flows in internal geometries. The Navier-Stokes equations have been posed as an initial-value problem by neglecting the effects of streamwise diffusion and treating the streamwise pressure gradient as a known source term. The fully coupled system of equations has been solved by a non-iterative algorithm at each streamwise step of the computation. A global pressure iteration has been used to capture the effects of the streamwise pressure gradient. The governing equations have been written in a body-fitted coordinate system so that the method can be used to predict flows in complex geometries. A low Mach number formulation of the equations has been used to compute incompressible flow fields.
A computer program has been written to implement all aspects of the space-marching algorithm. The program is modular and is easily adapted to the widely varying geometries of internal flows. The boundary condition procedures in the program have been isolated and are modular to accommodate the different types of boundary conditions needed in internal flow computations.
All aspects of the space-marching algorithm have been tested by computing simple flows with known analytical solutions. The method has been used to predict complex three-dimensional turbulent flows. The algorithm is stable and very economical. A single sweep of the flow field by the space-marching method is approximately equivalent to one time-step of the time-marching method.
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- Dissertation Note:
- Ph.D. The Pennsylvania State University 1983.
- Source: Dissertation Abstracts International, Volume: 45-01, Section: B, page: 2730.
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