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Showing 1 to 20 of 418 for “"Navier-Stokes Equations"”.
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The Navier-Stokes equations for elliptic quasicomplexes
The classical Navier-Stokes equations of hydrodynamics are usually written in terms of vector analysis. More promising is the formulation of these equations in the language of differential forms of degree one. In this way the study of Navier-Stokes equations includes the analysis of the de Rham …
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Generalized Navier-Stokes equations for active turbulence
… This approach generalizes the incompressible Navier-Stokes equations by accounting for active stresses through a linear instability mechanism, in contrast to externally driven classical turbulence. This minimal model can reproduce experimentally observed velocity statistics and is analytically …
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Backward stochastic Navier-Stokes equations in two dimensions
… is also established. The backward stochastic Navier-Stokes equations (BSNSEs, for short) corresponding to incompressible fluid flow in a bounded domain $G$ are studied in the second part. Suitable a priori estimates for adapted solutions of the BSNSEs are obtained which reveal a surprising …
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Operator splitting methods for the Navier-Stokes equations
… for the solution of the incompressible Navier-Stokes equations are examined. These algorithms are representative of the two prevalent splitting philosophies used to split the Navier-Stokes equations. The properties of the algorithms are determined by Fourier analysis of a model problem. …
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Exponential Integrators for the Incompressible Navier-Stokes Equations
… for time integration of the incompressible Navier-Stokes equations (NSE). The method is based on a projection onto the subspace of divergence-free (incompressible) functions interleaved with a Krylov-based exponential time integration (KBEI). These time integration methods provide a high …
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Preconditioned conjugate gradient methods for the Navier-Stokes equations
… method is used to solve the linear systems of equations formed at each time-integration step of the unsteady, two-dimensional, compressible Navier-Stokes equations of fluid flow. The Navier-Stokes equations are cast in an implicit, upwind finite-volume, flux split formulation. Preconditioning …
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Investigation of finite element schemes for the Navier Stokes equations
… method got the solution of the two-dimensional Navier-Stokes equations. The numerical method to be used was the finite element method. A literature survey revealed that a limitation common to all finite element methods available to date is that they only produce solutions for low Reynold's …
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Boundary integral/spectral element solution of the Navier-Stokes equations
… technique was developed to solve the unsteady Navier-Stokes equations and the steady convective transport equation. A semi-implicit formulation of the temporal integration rendered a linear spatial problem at sequential time increments. For low to moderate Reynolds number flows, time stepping …
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A Perfectly Matched Layer Method for the Navier-Stokes equations
… has been mostly limited to the linearized Euler equations. Attempts to apply PML to the nonlinear Euler equations have found a tendency for the method to go unstable. Even so, in light of the method's computational efficiency and high accuracy, finding a robust and stable implementation is highly …
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Viscosity stabilized adjoint method for unsteady compressible Navier-Stokes equations
… low fidelity simulations like Reynolds Averaged Navier-Stokes (RANS). To reliably capture the complex flow phenomena like turbulent boundary layers, turbulent wakes and fluid separation involved in high Reynolds number flows, high fidelity simulations like large eddy simulation (LES) are …
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Adaptive stable finite-element methods for the compressible Navier-Stokes equations
… method is presented for solving the compressible Navier-Stokes equations in two dimensions on unstructured meshes. The method is stablized by the addition of a least-squares operator (an inexpensive simplification of the Galerkin least-squares method), leading to solutions free of spurious …
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A Legendre spectral element method for the rotational Navier-Stokes equations
Thesis (M.S.)--Massachusetts Institute of Technology, Dept. of Mathematics, 1995.
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High resolution algorithms for the Navier Stokes equations for generalized descretizations
… solution algorithms for the two dimensional Navier Stokes equations and the three dimensional Euler equations for both structured and unstructured grid topologies are presented. Results for two dimensional quadrilateral and triangular elements and three dimensional tetrahedral elements will …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …
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A stabilized finite element dynamic overset method for the Navier-Stokes equations
In terms of mesh resolution requirements, higher-order finite element discretization methods offer a more economic means of obtaining accurate simulations and/or to resolve physics at scales not possible with lower-order schemes. For simulations that may have large relative motion between multiple …
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