An adaptive projection method for the incompressible Navier-Stokes equations
- Lawrence Livermore National Lab., CA (United States)
- Univ. of California, Berkeley, CA (United States)
In this paper the authors present a method for solving the time-dependent incompressible Navier-Stokes equations on an adaptive grid. The method is based on a projection formulation in which they first solve convection-diffusion equations to predict intermediate velocities, and then project these velocities onto a space of approximately divergence-free vector fields. Their treatment of convection uses a specialized second-order upwind method for differencing the nonlinear convection terms that provides a robust treatment of these terms suitable for high Reynolds number flows. Their approach to adaptive refinement uses a nested hierarchy of grids with simultaneous refinement of the grids in both space and time. The integration algorithm on the grid hierarchy is a recursive procedure in which coarse grids are advanced, fine grids are advanced multiple steps to reach the same time as the coarse grids, and the grid levels are then synchronized.
- Research Organization:
- Lawrence Livermore National Lab., CA (United States); California Univ., Berkeley, CA (United States)
- Sponsoring Organization:
- USDOE, Washington, DC (United States); National Science Foundation, Washington, DC (United States); Defense Nuclear Agency, Washington, DC (United States)
- DOE Contract Number:
- W-7405-ENG-48; FG03-92ER25140
- OSTI ID:
- 10183902
- Report Number(s):
- UCRL-JC--112328; CONF-940719--7; ON: DE94019049; CNN: NSF Grant DMS-8919074; NSF Grant ACS-8958522
- Country of Publication:
- United States
- Language:
- English
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