Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0681.76030
Bell, John B.; Colella, Phillip; Glaz, Harland M.
A second-order projection method for the incompressible Navier-Stokes equations. (English)
[J] J. Comput. Phys. 85, No.2, 257-283 (1989). ISSN 0021-9991

We describe a second-order projection method for the time-dependent, incompressible Navier-Stokes equations. We first solve diffusion- convection equations to predict intermediate velocities which are then projected onto the space of divergence-free vector fields. By introducing more coupling between the diffusion-convection step and the projection step we obtain a temporal discretization that is second-order accurate. Our treatment of the diffusion-convection step uses a specialized higher order Godunov method for differencing the nonlinear convective terms that provides a robust treatment of these terms at high Reynolds number. The Godunov procedure is second-order accurate for smooth flow and remains stable for discontinuous initial data, even in the zero-viscosity limit. We approximate the projection directly using a Galerkin procedure that uses a local basis for discretely divergence-free vector fields. Numerical results are presented validating the convergence properties of the method. We also apply the method to doubly periodic shear-layers to assess the performance of the method on more difficult applications.

MSC 2000:: *76D05 Navier-Stokes equations (fluid dynamics)
65N99 Numerical methods for BVP of PDE

Keywords: second-order projection method; time-dependent, incompressible Navier- Stokes equations; divergence-free vector fields; diffusion-convection step; specialized higher order Godunov method; doubly periodic shear- layers

Cited in: Zbl 1030.76044 Zbl 0938.76063 Zbl 0759.76045

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]