An adaptive mesh projection method for viscous incompressible flow

Journal Article · Tue Jul 01 04:00:00 EDT 1997 · SIAM Journal on Scientific Computing

DOI:https://doi.org/10.1137/S1064827594270555· OSTI ID:522426

Howell, L H; Bell, J B ^[1]

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1. Lawrence Berkeley National Lab., CA (United States)

Many fluid flow problems of practical interest--particularly at high Reynolds number--are characterized by small regions of complex and rapidly varying fluid motion surrounded by larger regions of relatively smooth flow. Efficient solution of such problems requires an adaptive mesh refinement capability to concentrate computational effort where it is most needed. The authors present in this paper a fractional step version of Chorin`s projection method for incompressible flow, with adaptive mesh refinement, which is second-order accurate in both space and time. Convection terms are handled by a high-resolution upwind method which provides excellent resolution of small-scale features of the flow, while a multilevel iterative scheme efficiently solves the parabolic and elliptic equations associated with viscosity and the projection. Numerical examples demonstrate the performance of the method on two-dimensional problems involving vortex spindown with viscosity and inviscid vortex merger.

• Sponsoring Organization: USDOE, Washington, DC (United States); Defense Nuclear Agency, Washington, DC (United States)
• DOE Contract Number: W-7405-ENG-48
• OSTI ID: 522426
• Journal Information: SIAM Journal on Scientific Computing, Journal Name: SIAM Journal on Scientific Computing Journal Issue: 4 Vol. 18; ISSN 1064-8275; ISSN SJOCE3
• Country of Publication: United States
• Language: English

Related Subjects

42 ENGINEERING
CALCULATION METHODS
INCOMPRESSIBLE FLOW
MESH GENERATION
NAVIER-STOKES EQUATIONS
PERFORMANCE
TWO-DIMENSIONAL CALCULATIONS