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References (31)
-
Zang Zang, Street Street, Koseff Koseff (1994)
A non‐staggered grid, fractional step method for time‐dependent incompressible Navier‐Stokes equations in general curvilinear coordinate systemsJ. Comput. Phys., 114
-
M. Rai (1985)
A relaxation approach to patched-grid calculations with the Euler equationsJournal of Computational Physics, 66
-
R. Meakin (1987)
Application of boundary conforming coordinate and domain decomposition principles to environmental flows -
L. Fuchs, N. Tillmark (1985)
Numerical and experimental study of driven flow in a polar cavityInternational Journal for Numerical Methods in Fluids, 5
-
Brandt Brandt (1977)
Multi‐level adaptive solutions to boundary‐value problemsMath. Comput., 31
-
J. Tu, L. Fuchs (1992)
Overlapping grids and multigrid methods for three‐dimensional unsteady flow calculations in IC enginesInternational Journal for Numerical Methods in Fluids, 15
-
M. Hinatsu, J. Ferziger (1991)
NUMERICAL COMPUTATION OF UNSTEADY INCOMPRESSIBLE FLOW IN COMPLEX GEOMETRY USING A COMPOSITE MULTIGRID TECHNIQUEInternational Journal for Numerical Methods in Fluids, 13
-
Perng Perng, Street Street (1989)
3‐D unsteady flow simulation: alternative strategies for a volume‐averaged calculationInt. j. numer. methods fluids, 9
-
D. W., HENSHAWf And, G., Chesshire (1987)
Multigrid on Composite MeshesSiam Journal on Scientific and Statistical Computing, 8
-
John Kim, P. Moin (1984)
Application of a Fractional-Step Method to Incompressible Navier-Stokes EquationsJournal of Computational Physics, 59
-
W. Henshaw (1985)
Part I. The Numerical Solution of Hyperbolic Systems of Conservation Laws. Part II. Composite Overlapping Grid Techniques -
B. Leonard (1990)
A stable and accurate convective modelling procedure based on quadratic upstream interpolationComputer Methods in Applied Mechanics and Engineering, 19
-
S. Narimousa, T. Maxworthy (1987)
Coastal upwelling on a sloping bottom: the formation of plumes, jets and pinched-off cyclonesJournal of Fluid Mechanics, 176
-
C. Perng, R. Street (1991)
A coupled multigrid‐domain‐splitting technique for simulating incompressible flows in geometrically complex domainsInternational Journal for Numerical Methods in Fluids, 13
-
M. Rosenfeld, D. Kwak, M. Vinokur (1991)
A fractional step solution method for the unsteady incompressible Navier-Stokes equations in generalized coordinate systemsJournal of Computational Physics, 94
-
R. Beam, R. Warming (1976)
An implicit finite-difference algorithm for hyperbolic systems in conservation-law form. [application to Eulerian gasdynamic equations -
M. Berger (1982)
Adaptive mesh refinement for hyperbolic partial differential equations -
J. Benek, J. Steger, F. Dougherty (1983)
A flexible grid embedding technique with application to the Euler equations -
P. Gresho, R. Sani (1987)
On pressure boundary conditions for the incompressible Navier‐Stokes equationsInternational Journal for Numerical Methods in Fluids, 7
-
R. Meakin, R. Street (1988)
Simulation of environmental flow problems in geometrically complex domains. Part2: a domain-splitting methodApplied Mechanics and Engineering, 68
-
Benton Benton, Clark Clark (1974)
Spin‐upAnn. Rev. Fluid Mech., 6
-
By McCormick, J. Thomas (1986)
The fast adaptive composite grid (FAC) method for elliptic equationMathematics of Computation, 46
-
R. Hindman (1982)
Generalized Coordinate Forms of Governing Fluid Equations and Associated Geometrically Induced ErrorsAIAA Journal, 20
-
D. Acheson (1990)
Elementary Fluid Dynamics -
Y. Zang, R. Street, J. Koseff (1994)
A non-staggered grid, fractional step method for time-dependent incompressible Navier-Stokes equations in curvilinear coordinatesJournal of Computational Physics, 114
-
Beam Beam, Warming Warming (1976)
An implicit finite‐difference algorithm for hyperbolic systems in conservative‐law formJ. Comput. Phys., 22
-
Meakin Meakin, Street Street (1988)
Stimulation of environmental flow problems in geometrically complex domains, part 2: A domain‐splitting methodComput. Methods Appl. Mech. Eng., 68
-
C. Perng, R. Street (1989)
Three‐dimensional unsteady flow simulations: Alternative strategies for a volume‐averaged calculationInternational Journal for Numerical Methods in Fluids, 9
-
A. Brandt (1977)
Multi-level adaptive solutions to boundary-value problems math comptr -
Berger Berger, Oliger Oliger (1984)
Adaptive mesh refinement for hyperbolic partial equationsJ. Comput. Phys., 53
-
W. Briley, H. Mcdonald (1977)
Solution of the multidimensional compressible Navier-Stokes equations by a generalized implicit methodJournal of Computational Physics, 24
- Publisher
- Wiley
- Copyright
- Copyright © 1995 John Wiley & Sons, Ltd
- ISSN
- 0271-2091
- eISSN
- 1097-0363
- DOI
- 10.1002/fld.1650200502
- Publisher site
- See Article on Publisher Site
Abstract
A time‐accurate, finite volume method for solving the three‐dimensional, incompressible Navier‐Stokes equations on a composite grid with arbitrary subgrid overlapping is presented. The governing equations are written in a non‐orthogonal curvilinear co‐ordinate system and are discretized on a non‐staggered grid. A semi‐implicit, fractional step method with approximate factorization is employed for time advancement. Multigrid combined with intergrid iteration is used to solve the pressure Poisson equation. Inter‐grid communication is facilitated by an iterative boundary velocity scheme which ensures that the governing equations are well‐posed on each subdomain. Mass conservation on each subdomain is preserved by using a mass imbalance correction scheme which is secondorder‐accurate. Three test cases are used to demonstrate the method's consistency, accuracy and efficiency.
Journal
International Journal for Numerical Methods in Fluids – Wiley
Published: Mar 15, 1995