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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
Ergodicity for the NavierStokes Equation . . .
, 2001
"... We study Galerkin truncations of the twodimensional NavierStokes equation under degenerate, largescale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity. ..."
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We study Galerkin truncations of the twodimensional NavierStokes equation under degenerate, largescale, stochastic forcing. We identify the minimal set of modes that has to be forced in order for the system to be ergodic. Our results rely heavily on the structure of the nonlinearity.
Scalable molecular dynamics with NAMD.
 J Comput Chem
, 2005
"... Abstract: NAMD is a parallel molecular dynamics code designed for highperformance simulation of large biomolecular systems. NAMD scales to hundreds of processors on highend parallel platforms, as well as tens of processors on lowcost commodity clusters, and also runs on individual desktop and la ..."
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Cited by 849 (63 self)
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Abstract: NAMD is a parallel molecular dynamics code designed for highperformance simulation of large biomolecular systems. NAMD scales to hundreds of processors on highend parallel platforms, as well as tens of processors on lowcost commodity clusters, and also runs on individual desktop
Laplacian eigenmaps and spectral techniques for embedding and clustering.
 Proceeding of Neural Information Processing Systems,
, 2001
"... Abstract Drawing on the correspondence between the graph Laplacian, the LaplaceBeltrami op erator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded in ..."
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Cited by 668 (7 self)
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Abstract Drawing on the correspondence between the graph Laplacian, the LaplaceBeltrami op erator on a manifold , and the connections to the heat equation , we propose a geometrically motivated algorithm for constructing a representation for data sampled from a low dimensional manifold embedded
Direct numerical simulations of the NavierStokes alpha model
 Physica D
, 1999
"... We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluid turbulence using several values of the parameter alpha, including the limiting case where the NavierStoke ..."
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Cited by 59 (13 self)
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We explore the utility of the recently proposed alpha equations in providing a subgrid model for fluid turbulence. Our principal results are comparisons of direct numerical simulations of fluid turbulence using several values of the parameter alpha, including the limiting case where the NavierStokes
Practical animation of liquids
 Graphical Models and Image Processing
, 1996
"... We present a comprehensive methodology for realistically animating liquid phenomena. Our approach unifies existing computer graphics techniques for simulating fluids and extends them by incorporating more complex behavior. It is based on the NavierStokes equations which couple momentum and mass con ..."
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Cited by 445 (26 self)
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We present a comprehensive methodology for realistically animating liquid phenomena. Our approach unifies existing computer graphics techniques for simulating fluids and extends them by incorporating more complex behavior. It is based on the NavierStokes equations which couple momentum and mass
1 Kähler Geometry and the NavierStokes Equations
, 2005
"... We study the NavierStokes and Euler equations of incompressible hydrodynamics in two and three spatial dimensions and show how the constraint of incompressiblility leads to equations of Monge–Ampère type for the stream function, when the Laplacian of the pressure is known. In two dimensions a Kähle ..."
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Equations for an Incompressible Fluid Flow visualization methods, allied to largescale computations of the threedimensional incompressible NavierStokes equations, vividly illustrate the fact that vorticity has a tendency to accumulate on ‘thin sets ’ whose morphology is characterized by quasi
NavierStokes equations for stochastic lattice gases
"... We discuss the diffusive limit of a class of stochastic lattice gases on the cubic lattice Z d . If the initial conditions correspond to a local equilibrium with small deviations from a spatially constant profile, we prove the law of large numbers for the rescaled empirical velocity field. The lim ..."
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Cited by 1 (0 self)
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. The limiting field satisfies the NavierStokes equation and the viscosity is characterized by variational formulas, formally equivalent to the GreenKubo formula. 05.20.y 05.70.Ln 02.50.R 47.10.+g Typeset using REVT E X A major open problem in nonequilibrium statistical physics is a derivation
ROBUST MULTIGRID ALGORITHMS FOR THE INCOMPRESSIBLE NAVIERSTOKES EQUATIONS
"... Anisotropies occur naturally in CFD where the simulation of small scale physical phenomena, such as boundary layers at high Reynolds numbers, causes the grid to be highly stretched leading to a slow down in convergence of multigrid methods. Several approaches aimed at making multigrid a robust sol ..."
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Cited by 4 (2 self)
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solver have been proposed and analyzed in literature using the scalar diffusion equation. However, they have been rarely applied to solving more complicated models, like the incompressible NavierStokes equations. This paper contains the first published numerical results of the behavior of two popular
Results 1  10
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