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Using PMD to ParallelSolve LargeScale NavierStokes Equations. Performance Analysis on SGI/CRAYT3E Machine
"... Abstract. PMD (Parallel Multidomain Decomposition) is an MPI based Fortran 90 module which objective is to parallelsolve positive definite linear elliptic second order equations. It has been used to solve unsteady NavierStokes equations in order to simulate an axisymmetric incompressible viscous ..."
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Abstract. PMD (Parallel Multidomain Decomposition) is an MPI based Fortran 90 module which objective is to parallelsolve positive definite linear elliptic second order equations. It has been used to solve unsteady NavierStokes equations in order to simulate an axisymmetric incompressible viscous
A finitevolume, incompressible Navier–Stokes model for studies of the ocean on parallel computers.
 J. Geophys. Res.,
, 1997
"... Abstract. The numerical implementation of an ocean model based on the incompressible Navier Stokes equations which is designed for studies of the ocean circulation on horizontal scales less than the depth of the ocean right up to global scale is described. A "pressure correction" method i ..."
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Cited by 293 (32 self)
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Abstract. The numerical implementation of an ocean model based on the incompressible Navier Stokes equations which is designed for studies of the ocean circulation on horizontal scales less than the depth of the ocean right up to global scale is described. A "pressure correction" method
A coupled level set and volumeoffluid method for computing 3D and axisymmetric incompressible twophase flows
 Journal of Computational Physics
, 1006
"... We present a coupled level set/volumeoffluid (CLSVOF) method for computing 3D and axisymmetric incompressible twophase flows. This method combines some of the advantages of the volumeoffluid method with the level set method to obtain a method which is generally superior to either method alone. ..."
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Cited by 96 (2 self)
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We present a coupled level set/volumeoffluid (CLSVOF) method for computing 3D and axisymmetric incompressible twophase flows. This method combines some of the advantages of the volumeoffluid method with the level set method to obtain a method which is generally superior to either method alone
Generalized stochastic flows and applications to incompressible viscous fluids
 BULL. SCI. MATH
, 2013
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Under consideration for publication in J. Fluid Mech. 1 TwoDimensional and Axisymmetric Viscous Flow in Apertures
, 2007
"... The flow of a planar liquid jet out of an aperture is simulated by solving the unsteady incompressible NavierStokes equations. A convective equation is solved for the level set to capture the interface of the liquid jet with the gaseous environment. The flows for different Reynolds numbers and Webe ..."
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flow. It is proved that the inviscid potential flow satisfies the normal stress boundary condition on free surface of a viscous flow as well. The results are close to viscous potential solution except inside the boundary layers. NavierStokes solution for the axisymmetric aperture are also presented
A fictitious domain approach to the direct numerical simulation of incompressible viscous flow past moving rigid bodies: application to particulate flow
 J. Comp. Phys
"... In this article we discuss a methodology that allows the direct numerical simulation of incompressible viscous fluid flow past moving rigid bodies. The simulation methods rest essentially on the combination of: (a) Lagrangemultiplierbased fictitious domain methods which allow the fluid flow compu ..."
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Cited by 114 (4 self)
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In this article we discuss a methodology that allows the direct numerical simulation of incompressible viscous fluid flow past moving rigid bodies. The simulation methods rest essentially on the combination of: (a) Lagrangemultiplierbased fictitious domain methods which allow the fluid flow
www.cscanada.net Exact Solutions for the Incompressible Viscous Fluid of a Rotating Disk Flow
"... Abstract: The present paper is devoted to a class of exact solutions to the steady NavierStokes equations for the incompressible Newtonian viscous fluid flow motion due to a disk rotating with a constant angular speed. In place of the traditional von Karman’s axisymmetric evolution of the flow, the ..."
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Abstract: The present paper is devoted to a class of exact solutions to the steady NavierStokes equations for the incompressible Newtonian viscous fluid flow motion due to a disk rotating with a constant angular speed. In place of the traditional von Karman’s axisymmetric evolution of the flow
An AdaptiveMesh Projection Method For Viscous Incompressible Flow
 SIAM J. SCI. COMPUT
, 1996
"... Many fluid flow problems of practical interest  particularly at high Reynolds number  are characterized by small regions of complex and rapidlyvarying fluid motion surrounded by larger regions of relatively smooth flow. Efficient solution of such problems requires an adaptive mesh refinement ca ..."
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Cited by 13 (3 self)
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Many fluid flow problems of practical interest  particularly at high Reynolds number  are characterized by small regions of complex and rapidlyvarying fluid motion surrounded by larger regions of relatively smooth flow. Efficient solution of such problems requires an adaptive mesh refinement
A Level Set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows
 JOURNAL OF COMPUTATIONAL PHYSICS 124, 449–464
, 1996
"... A level set formulation is derived for incompressible, immiscible smooths out the front. In the case of irrotational flow, one Navier–Stokes equations separated by a free surface. The interface can reformulate the problem in the boundary integral form is identified as the zero level set of a smoot ..."
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Cited by 179 (13 self)
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A level set formulation is derived for incompressible, immiscible smooths out the front. In the case of irrotational flow, one Navier–Stokes equations separated by a free surface. The interface can reformulate the problem in the boundary integral form is identified as the zero level set of a
AXISYMMETRIC ROTATING FLUID EQUATIONS
, 2008
"... We investigate the equations of anisotropic axisymmetric incompressible viscous fluids in the exterior of a cylinder of R³, rotating around an inhomogeneous vector B(t, r). We prove uniform local existence with respect to the Rossby number in suitable anisotropic Sobolev spaces. We also obtain the p ..."
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We investigate the equations of anisotropic axisymmetric incompressible viscous fluids in the exterior of a cylinder of R³, rotating around an inhomogeneous vector B(t, r). We prove uniform local existence with respect to the Rossby number in suitable anisotropic Sobolev spaces. We also obtain
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