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Pressure Projection Method in Generalized Coordinates

Chapter
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Part of the Scientific Computation book series (SCIENTCOMP)

Abstract

In Chapter 2, a general idea of the pressure projection method is introduced. This method is described in detail for developing general three-dimensional simulation capability. While an artificial compressibility approach modifies the nature of governing equations, the pressure projection method is formulated time accurately, and so is used both in time-dependant problems and for obtaining steady-state solutions. In light of successful computations in Cartesian coordinates using its numerous variants, Rosenfeld et al. (1991a, b, 1992) developed a staggered grid-based fractional step method in general curvilinear coordinates. Later, Kiris and Kwak (2001) developed a more robust implicit procedure for “not- so-nice” grids using the same finite-volume framework. Among many variations in projection methods, the details presented in this chapter are extracted from these activities by the authors and their colleagues at NASA Ames Research Center.

Keywords

Momentum Equation Couette Flow Volume Flux Computational Cell Mass Conservation Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. Rosenfeld, M., Kwak, D.: Multigrid acceleration of a fractional-step solver in generalized curvilinear coordinate systems. AIAA J., 31, No.10, 1792–1800 (1993)zbMATHCrossRefGoogle Scholar
  2. Kiris, C., Kwak, D.: Numerical solution of incompressible Navier-Stokes equations using a fractional-step approach. Comp. Fluids, 30, 829–851 (2001) (Original version in AIAA Paper 96-2089)Google Scholar
  3. MacCormack, R. W.: Current status of numerical solutions of the Navier-Stokes equations. AIAA Paper 85-0032 (1985)Google Scholar
  4. Rai, M. M.: Navier-Stokes simulations of blade-vortex interaction using high-order accurate upwind schemes. AIAA Paper 87-0543 (1987)Google Scholar
  5. Rosenfeld, M., Stephanoff, K. D., Park, D., Kwak, D.: A numerical and experimental simulation of pulsatile flow in a constricted channel. Proceedings of the 4th International Symposium on Computational Fluid Dynamics, UC Davis, CA, September 9–12 (1991b)Google Scholar
  6. Vinokur, M.: An analysis of finite-difference and finite-volume formulations of conservation laws. NASA CR--177416, June (1986)Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  1. 1.NASA Advanced Supercomputing DivisionNASA Ames Research CenterMoffet FieldUSA
  2. 2.NASA Ames Research Center, Applied Modeling & Simulations BranchMoffett FieldUSA

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