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12,425
Using PMD to Parallel-Solve Large-Scale Navier-Stokes Equations. Performance Analysis on SGI/CRAY-T3E Machine
"... Abstract. PMD (Parallel Multi-domain Decomposition) is an MPI based Fortran 90 module which objective is to parallel-solve positive definite linear elliptic second order equations. It has been used to solve unsteady Navier-Stokes equations in order to simulate an axisymmetric incompressible viscous ..."
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Abstract. PMD (Parallel Multi-domain Decomposition) is an MPI based Fortran 90 module which objective is to parallel-solve positive definite linear elliptic second order equations. It has been used to solve unsteady Navier-Stokes equations in order to simulate an axisymmetric incompressible viscous
Ergodicity for the Navier-Stokes Equation . . .
, 2001
"... We study Galerkin truncations of the two-dimensional Navier-Stokes equation under degenerate, large-scale, 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 two-dimensional Navier-Stokes equation under degenerate, large-scale, 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 high-performance simulation of large biomolecular systems. NAMD scales to hundreds of processors on high-end parallel platforms, as well as tens of processors on low-cost 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 high-performance simulation of large biomolecular systems. NAMD scales to hundreds of processors on high-end parallel platforms, as well as tens of processors on low-cost 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 Laplace-Beltrami 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 Laplace-Beltrami 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 Navier-Stokes 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 Navier-Stoke ..."
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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 Navier-Stokes
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 Navier-Stokes 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 Navier-Stokes equations which couple momentum and mass
1 Kähler Geometry and the Navier-Stokes Equations
, 2005
"... We study the Navier-Stokes 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 large-scale computations of the three-dimensional incompressible Navier-Stokes equations, vividly illustrate the fact that vorticity has a tendency to accumulate on ‘thin sets ’ whose morphology is characterized by quasi
Navier-Stokes 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 Navier-Stokes equation and the viscosity is characterized by variational formulas, formally equivalent to the Green-Kubo formula. 05.20.-y 05.70.Ln 02.50.-R 47.10.+g Typeset using REVT E X A major open problem in non-equilibrium statistical physics is a derivation
ROBUST MULTIGRID ALGORITHMS FOR THE INCOMPRESSIBLE NAVIER-STOKES 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 Navier-Stokes equations. This paper contains the first published numerical results of the behavior of two popular
Results 1 - 10
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12,425