A Cell-Centered Adaptive Projection Method for the IncompressibleNavier-Stokes Equations in Three Dimensions

Journal Article · Tue Sep 25 00:00:00 EDT 2007 · Journal of Computational Physics

OSTI ID:922816

Martin, D F; Colella, P; Graves, D T

We present a method for computing incompressible viscousflows in three dimensions using block-structured local refinement in bothspace and time. This method uses a projection formulation based on acell-centered approximate projection, combined with the systematic use ofmultilevel elliptic solvers to compute increments in the solutiongenerated at boundaries between refinement levels due to refinement intime. We use an L_0-stable second-order semi-implicit scheme to evaluatethe viscous terms. Results are presentedto demonstrate the accuracy andeffectiveness of this approach.

• Research Organization: Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
• Sponsoring Organization: USDOE Director. Office of Science. Advanced ScientificComputing Research
• DOE Contract Number: DE-AC02-05CH11231
• OSTI ID: 922816
• Report Number(s): LBNL-62025; JCTPAH; R&D Project: 619601; BnR: KJ0101010; TRN: US200804%%915
• Journal Information: Journal of Computational Physics, Vol. 227, Issue 3; Related Information: Journal Publication Date: 01/2008; ISSN 0021-9991
• Country of Publication: United States
• Language: English

Related Subjects

99
ACCURACY
DIMENSIONS
NAVIER-STOKES EQUATIONS
VISCOUS FLOW
adaptive mesh refinement incompressible flow projectionmethods